Pages

Thursday, 14 September 2017

ANSWER KEY QUANT


ANSWER KEYS QUANTITATIVE ABILITY
TEST 1   TEST 2
Q.No Answer Q.No Answer   Q.No Answer Q.No Answer
1 D 31 B   61 B 91 B
2 C 32 A   62 C 92 B
3 B 33 D   63 C 93 B
4 A 34 D   64 A 94 D
5 B 35 D   65 C 95 D
6 D 36 B   66 D 96 B
7 D 37 B   67 D 97 A
8 B 38 B   68 A 98 B
9 B 39 E   69 C 99 A
10 D 40 B   70 D 100 E
11 C 41 D   71 A 101 D
12 B 42 C   72 C 102 C
13 D 43 A   73 B 103 B
14 B 44 D   74 A 104 A
15 A 45 D   75 D 105 D
16 B 46 B   76 C 106 D
17 A 47 A   77 A 107 C
18 E 48 A   78 D 108 A
19 A 49 B   79 C 109 C
20 B 50 B   80 D 110 B
21 B 51 D   81 C 111 D
22 C 52 A   82 A 112 D
23 D 53 C   83 C 113 B
24 C 54 C   84 D 114 D
25 A 55 B   85 A 115 C
26 A 56 B   86 B 116 D
27 C 57 C   87 D 117 E
28 E 58 A   88 B 118 C
29 D 59 A   89 A 119 C
30 B 60 D   90 B 120 A









TEST 3
TEST 4
Q.No Answer Q.No Answer
Q.No Answer Q.No Answer
1 A 31 B
1 B 31 B
2 B 32 B
2 A 32 C
3 B 33 D
3 E 33 D
4 C 34 D
4 C 34 B
5 B 35 A
5 B 35 C
6 A 36 B
6 E 36 C
7 A 37 D
7 C 37 D
8 B 38 C
8 A 38 C
9 B 39 C
9 B 39 C
10 A 40 B
10 B 40 B
11 A 41 C
11 C 41 D
12 A 42 B
12 A 42 A
13 D 43 D
13 D 43 A
14 C 44 B
14 D 44 C
15 C 45 D
15 A 45 C
16 D 46 D
16 C 46 C
17 A 47 D
17 D 47 A
18 D 48 B
18 A 48 A
19 A 49 C
19 C 49 D
20 A 50 C
20 D 50 A
21 D 51 A
21 B 51 A
22 C 52 A
22 D 52 E
23 A 53 A
23 B 53 A
24 E 54 A
24 A 54 C
25 A 55 C
25 B 55 D
26 A 56 A
26 A 56 D
27 A 57 A
27 B 57 D
28 C 58 C
28 D 58 B
29 D 59 B
29 A 59 D
30 A 60 B
30 D 60 D

MOCK AMCAT QUANT QUESTIONS



QUANTITATIVE ABILITY SET-1
1. Steward assigns th of his monthly salary on food. Steward’s total food bill for the month is Rs. 6500. What is Steward’s yearly salary?
A]Rs. 9,750                          B]Rs. 12,174                        C]Rs. 5,76,000                    D]Rs. 6,24, 000
2. Find the value of x in
 = 0.01
A]0.0009                              B]0.09                                   C]0.9                                      D]9
3. Write 0.555….. as a fraction.
A]                                          B]                                           C]            D]
4. What is the least number which should be added to 0.0282 to make it a perfect square?
A]0.0007                              B]0.0042                               C]0.0002                               D]0.0003
5.  of the paper produced can be recycled. If 6, 42, 400 tonnes of paper is produced. What quantity of recycled paper can be made after its use?
A]3, 92,000 tonnes                                                                          B]2, 92,000 tonnes
C]1, 92,000 tonnes                                                                           D]4, 92,000 tonnes
6. In a quiz competition, the host asked a question and provided three possible answers. What is the probability that the answer choice which Rohit selects for a question is wrong?
A]                                          B]                                           C]3C1* D]
7. What is the least amount that a person can have, such that when he distributes it into groups of Rs. 16 or Rs. 18 or Rs. 20 or Rs. 25, he is always left with Rs. 4?
A]Rs. 1,796                          B]Rs. 1,804                          C]Rs. 2,596          D]Rs. 3,604
8. Sum of the digits of a 3 digit number is subtracted from the number. The resulting number is divisible by ________
A]6                                         B]9                                         C]Both 6 and 9   D]All 3, 6 and 9
9. On an average, a content developer can develop 6 questions in an hour. Resource manager wants to complete the project of 2400 questions in 20 hours. How many developers should he take in his team?
A]30                                       B]20                                       C]40                       D]10
10. A large rubber cushion can be filled with air pump in 10 minutes; another pump can fill the same cushion in 12 minutes. If both the pumps operate together, how long will it take to fill the cushion?
A]6  minutes                   B]5  minutes                    C]4  minutes                    D]5  minutes
11. A developed car in the workshop comprises of around 70 components. Each component has a probability of having a manufacturing error 0.015. What is the probability that this developed car will get rejected due to manufacturing error in any of the component?
A](0.015)70                          B](0.985)70                          C]1 – (0.985)70                                   D]1 – (0.015)70
12. Consider the following parameters:
A. A boat travels 300 meters upstream in 15 mins.
B. Its speed downstream is  times its speed upstream.
Which of the following options provides the correct relationship between speed of current and the speed of the boat?
A]Speed of the current =  times the speed of the boat
B]Speed of the current =  times the speed of the boat
C]Speed of the current =  times the speed of the boat
D]Speed of the current =  times the speed of the boat
13. Aman deposits Rs. 5, 000 in his bank account for 5 years to earn an interest of 12%. What amount will he get after 5 years?
A]Rs. 2000                           B]Rs. 3000                           C]Rs. 5300           D]Rs. 8000           E) Rs. 8300
14. 3 empty CDs and 2 pen drives cost Rs. 790. 2 empty CDs and 3 pen drives cost Rs. 1110. What is the cost of one pen drive?
A]Rs. 30                                B]Rs. 350                              C]Rs. 25                                D]Rs. 300
15. In a promotional sale, a company sells a gymnasium kit consisting of a bag worth Rs. 999, a towel worth Rs. 299, a pair of shoes worth Rs. 1999, a sipper worth Rs. 199 for Rs. 2999. What is the net saving for a buyer?
A]0.14                                   B]0.2                                      C]0.1                      D]0.25
16. A street seller bought maize corns for Rs. 20 per kg. In one kg, there are approximately 5 heads of corn. He sells roasted corns for Rs. 8 per piece. How many corns will he have to sell in order to earn a profit of Rs. 200 in a day?
A]60                                       B]50                                       C]40                                       D]80
17. Simplify
A]2                                    B]6                                         C]3     D]4
18. Ram is 5 years elder to his youngest sibling Shreya. Shreya is two years younger than her brother Ritesh. Ritesh is 13 years old and is Ram’s brother. How old will Ram be in two years from now?
A]16                                       B]17                                       C]20       D]15                       E) 18
19. If a number is divisible by 63, then it is also divisible by
A]7                                         B]11                                       C]13                       D]17
20. Jagdish can build a wall in 10 days. Narender can build the same wall in 12 days while Sumit takes 15 days to do the same job. Which two of them should be employed to finish the job in 6 days?
A]Jagdish and Narender                                                               B]Jagdish and Sumit
C]Sumit and Narender                                                                   D]None of the above
21. Write  as a mixed fraction.
A]75                                      B]75                                      C]74                      D]70
22. A detergent powder company is having a contest. Each pack of 1kg contains one of the letters B, A, M and O. In every 20 packs, there are four Bs, five As, ten Ms and one O. What is the probability that a pack will have a B?
A]                                          B]                                           C]                           D]
23. The reciprocal of HCF and LCM of two numbers are  and  respectively. If one of the numbers is 24, find the other number.
A]126                                    B]136                                     C]146     D]156
24. The total combination of picking 3 balloons from a packet of 25 balloons is:
A]2100                                  B]2200                                  C]2300  D]2400
25. If by selling 10 papayas, the cost price of 8 papayas is realized, then the loss percent is:
A]20%                                   B]10%                                   C]8%      D]2%
26. Solve: * *
A]                                        B]                                         C]         D]None of the above
27. If x = 1 +  and y = 1 - , then  is:
A]2                                         B]3                                         C]6                         D]0
28. In an election, the winning candidate won by 15% votes. If a total of 5, 000 votes were cast of which only 86% were eligible, then how many votes did the winning candidate get?
A]2, 000                                B]1, 800                                C]4, 000                D]4, 300                E) 2, 300
29. Express the fraction  as a number up to 3 decimal points.
A]1.429                 B]1.535                                 C]1.321 D]1.529
30. 4 men can repair a road in 7 hours. How many men are required to repair the road in 2 hours?
A]7                                         B]14                                       C]17       D]10
31. A book store offers a 10% discount on all books sold plus an additional discount of 5% on the total bill, if the total bill after discount is more than or equal to Rs. 1000. Dilshan bought 3 books worth Rs. 450, Rs. 520 and Rs. 250 respectively. How much money was Dilshan able to save as a result of the various discounts offered by the store?
A]Rs. 102                             B]Rs. 176.9                          C]Rs. 61                D]Rs. 183            
E) None of the above 
32. In a scheme, a pack of three soaps with MRP Rs. 45 is available for Rs. 42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is:
A]Rs. 40                                B]Rs. 37                                C]Rs. 41                                D]Rs. 35
33. A written exam consists of 6 questions with the answer options yes/ no/ none. In how many ways can the examinees select the answer?
A]6P3 ways                          B]5C3 ways                          C] 3C1.3C1.3C1.3C1.3C1       D](3C1)6
34. What is the value of ( * )/
A]0                                         B]3                                         C]           D]None of the above
35. What is the sum of two consecutive numbers, the difference of whose squares is 19?
A]9                                         B]10                                       C]18       D]19
36. What is the number of ways of selecting 7 files out of 14 distinct files if one is always selected?
A]14C7                                    B]13C6                                    C]1                         D]14P7                    E) 13P6
37.
A]                                     B]                                      C]      D)
38. What is the square root of  ?
A]4                                         B]8                                         C]12                       D]16
39. What will be the value of the expression * ?
A]                                     B]                                     C]        D]                        E)
40. What least value must be assigned to #, so that the number 279#4423 is divisible by 9?
A]1                                         B]5                                         C]3         D]7
41. A field person of a customer care department of a company on an average attends to 3 complaints. If customer care receives about 200 complaints daily, and have 45 field persons to attend to these, how many complaints are to be outsourced?
A]145                                    B]135                                     C]55       D]65
42. Which of the following numbers is divisible by 6?
A]4322                  B]3142                                  C]2256  D]1640
43. Pulse rate of a teenager is 12 beats in 10 sec. At this rate, would his pulse rate be more than, equal to, or less than 100 beats per minute?
A]Less than                        B]Greater than                 C]Equal to           D]Data insufficient
44. Recycling 900 kg of paper saves 17 trees. How many trees are saved when 1200 kg of paper are recycled?
A]19                                       B]25                                       C]20                       D]22
45. A train Rajdhani starts from Suratkal at 5 a.m. with the speed of 15 kmph. Another train Shatabadi starts from the same place in the same direction at 7 a.m. with a speed of 20 kmph. At what time will both the trains meet each other?
A]3:00 p.m.                         B]2:00 p.m.                         C]12:00 p.m.       D]1:00 p.m.
46. Zegna car was in rage two years back and it costs Rs. 5, 60, 000 then. Now, however, with many new hi-tech cars coming into the market, the price of the car has dipped to Rs. 4, 00, 000. Find the decrease in price of the cars as a percentage of the old price.
A]28%                                   B]28.57%                             C]40%   D]71.42%
47. Out of every 100 people in police department, 10 are women. Out of every 100 people in military forces, 3 are women. In a batch of 180 police personnel and 200 army personnel, how many of them would be women?
A]24                                       B]30                                       C]18       D]6
48. What is the loss percentage incurred by a company when it buys an asset for Rs. 1, 50, 000 and sells it for Rs. 75, 500?
A]49.67%                             B]49.34%                             C]98.68%             D]98.34%
49. A number becomes a perfect square when we subtract 1 from it. Which of the following cannot be the last digit of that number?
A]2                                         B]4                                         C]5         D]0
50. What is the relationship between the fractions  and  ?
A]  =                                B] >                                  C] <                 D]Cannot be determined
51. One third of a two digit number exceeds its one forth by 7. What is the sum of digits of the number?
A]72                                       B]84                                       C]15       D]12
52. Find n if ( ) = 512.
A]219                                    B]218                                     C]237     D]None of the above
53. Five paramedics and four technicians are registered for a rescue team. How many possible combinations one can choose to make a rescue team of a paramedic and a technician?
A]9                                         B]40                                       C]20       D]18
54. If the LCM and HCF of two numbers are 78 and 13 respectively, the product of two numbers can be expressed as
A]2x3x13x11                      B]2x3x13x12                       C]2x3x13x13       D]2x3x13x14
55. Ritu visited a mall where tokens are given while submitting belongings at the entrance. Tokens are lettered a, b, c, ………….., z. Guard gives the token at random. What is the probability that token given to Ritu is consonant?
A]                                        B]                                         C]         D]

56. Find the smallest number which when divided by 24, 30, 48 and 60, leaves remainder 2 in each case.
A]238                                    B]242                                     C]8         D]4
57. What are the largest 4-digit and smallest 3-digit numbers divisible by 6, 15, 21 and 24?
A]9235, 420                         B]9980, 840                         C]9240, 840         D]9999, 999
58. Jaya bought a car worth Rs. 3, 50, 000 four years ago. If the value of the car depreciates over time at a fixed rate of 10% per annum, then what will be the present worth of the car?
A]Rs. 2, 29, 635                  B]Rs. 2, 50, 000                  C]Rs. 2, 30, 000                  D]2, 55, 150
59. A man can complete a job in 12 days and his wife can complete the same job in 15 days. How long will they take to complete the job if they work together?
A]6  days                             B]6  days                             C]10  days           D]10  days
60. What is the smallest square number which is divisible by 2, 4, 5, 6 and 9?
A]200                                    B]90                                       C]180     D]900





QUANTITATIVE ABILITY SET-2
61. Given that the interest is only earned on principal, if an investment of Rs. 1000.00 amounts to Rs. 1440.00 in two years, then what is the rate of interest earned?
A]20%                                   B]22%                                   C]21%                                 D]11%                      E) 44%
62. A water filter takes 40 minutes to filter 20 liters of water. Another filter of same specifications takes 30 minutes to filter the same amount of water. If both the filters are used at the same time, then how long will it take them to filter 70 liters of water?
A]  hour                                B]  hour                         C]1 hour                        D]1  hour
63. Which is better: a successive discount of 40% and 30% or a discount of flat 70%?
A]Both are equivalent                   B]40% and 30%                C]70%                     D]None of the above
64. Parul is one-fifth the age her mother was 15 years ago and Parul’s brother is three-fifth the age his mother was 10 years ago. If the sum of Parul and her brother’s age is 31, then how old is Parul’s mother?
A]50                                       B]40                                       C]35                                       D]60      
65. A supplier supplies cartridges to a newspaper publishing house. He earns a profit of 20% by selling cartridges for Rs. 540. Find the cost price of the cartridges?
A]Rs. 500                             B]Rs. 480                              C]Rs. 450                           D]400 
66. Micro-Sims Pvt. Ltd. produces 1,200 phones every day. If out of these, 2 % are faulty and 4 % are defective in packaging, then how many non-faulty and non-defective packaged phones are produced every day?
A]80                                       B]120                                     C]1080                                D]1120
67. Sudhir goes to the market once every 64 days and Sushil goes to the same market once every 72 days. They met each other one day. How many days later will they meet each other again?
A]16                                       B]64                                       C]240                                  D]576
68. A number when divided by 5 leaves remainder 2. When the square of the number is divided by 5, the remainder will be
 A]4                                        B]2                                         C]1                                         D]3
69. If 10Cx = 1, then what is the value of x if x≠0?
A]1                                         B]5                                         C]10                                    D]15
70. A company decides new identity code for all its employees. The identity code would comprise of five letter initials that can be formed using the alphabets of English language such that the fifth letter is always a consonant. How many such combinations are possible?
A]263*212                            B]214*26                              C]213*262                            D]264*21
71. What is the smallest number, which when divided by 7, 18, 56 and 36, leaves a remainder zero?
A]504                                    B]392                                     C]390                                  D]1012
72. Ramakant wants to earn Rs. 1500 interest on his deposits. He plans to buy a sack of grains with the interest. He puts Rs. 5,000 into his account that earns 2.5% interest. How long will he need to leave his money in the account to earn this interest that would help him buy the sack of grains?
A]8 years                             B]10 years                           C]12 years                           D]15 years
73. A bread making machine can make bread of 50 kg dough in 3 minutes. How many such machines are required to make breads of 300 kg dough in 6 minutes?
A]6                                         B]3                                         C]4                                         D]5
74. The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be:
A]Rs. 229.50                       B]Rs. 231.50                        C]Rs. 232. 50                       D]Rs. 234. 50                     
E) None of the above
75. A television manufacturing company has decided to increase the sale to beat the economic slowdown. It decides to reduce the price of the television sets by 25% as a result of which the sales increased by 20%. What is the effect on the total revenue of the company?
A]Decreased by 20%                      B]Increased by 20%      C]Increased by 10%           D]Decreased by 10%     
76. A scuba diver descends at a rate of 40 feet per minute. A diver dives from a ship to search for a lost ship at the depth of 3000 feet below sea level. How long will he take to reach the ship?
A]70 minutes                     B]72 minutes                     C]75 minutes                     D]76 minutes
77. If the sum of 4 times a number A and three times a number B is equal to the sum of number B and seven times the number A, then what is the value of A:B?
A]2:3                                     B]3:2                                      C]4:3                                   D]3:4
78. Rajesh commutes daily by travelling  of the distance between his home and office by Metro train,  by auto and remaining 1 km on foot. The distance between his home and office is
A]12 km                           B]16 km                             C]24 km                            D]20 km
79. The difference of two numbers is 14. Their LCM and HCF are 441 and 7 respectively. Find the numbers.
A]21, 35                                B]35, 49                                C]49, 63                                D]63, 77
80. The number of 6 – digits even numbers that can be made from the number 214635 is:
A]18                                       B]72                                       C]120                                  D]360
81. What is the probability that Sharique’s test would be fixed on Monday or Tuesday, in a week from Monday to Sunday?
A]                                          B]                                           C]                                        D]
82. The average age of the state level cricket team of eleven is 22 years. The average age gets increased by 1 year when the coach age is also included. What is the age of the coach?
A]34                                       B]23                                       C]30                                       D]40
83. Two pipes A and B can separately fill a cistern in 220 minutes and 330 minutes. Together they can fill the cistern in:
A]1 hour 32 minutes                       B]1 hour               C]2 hour and 12 minutes               D]2 hours            E) None
84. If the sum of the squares of two numbers is 2754 and their HCF and LCM are 9 and 135 respectively, then the numbers are:
A]27, 36                                B]27, 35                                C]28, 45                             D]27, 45
85. Express 0.824 as a fraction of the smallest form.
A]                                      B]                                         C]                                       D]
86. Divide the sum of  and  by their difference.
A]                                        B]                                         C]                                         D]None of the above
87. If 6(x-3) = 36(x-5), then what is the value of x?
A]2                                         B]No value will agree     C]-1                                     D]7
88. {0, 1, 2, 3, 4, 5, ……….} are
A]Integers                          B]Whole Numbers          C]Natural Numbers         D]Positive Integers
89. If x = 8 and y = 27, then the value of
A]5                         B]6                         C]7                         D]8                                      E) None of the above
90. In an examination involving quantitative aptitude and logical reasoning, 65% examinees cleared quantitative aptitude test while 70% cleared logical reasoning test. If 50% examinees passed both the tests, then how many failed in both the tests?
A]35%                                   B]15%                                   C]30%                                   D]20%
91. Every member of a housing society contributes as much amount as there are number of members in the society. The president added Rs. 150 extra from his side to make the total of Rs. 2, 650. How many members are there in the housing society?
A]25                                       B]50                                       C]60                                    D]35
92. A vendor bought 15 oranges at Rs. 36 for 5 oranges and sold all of them at four oranges for Rs. 45. How much did vendor earn or lose in this transaction?
A]Loses Rs. 4.05 per orange                                        B]Gains Rs. 4.05 per orange
C]Gains Rs. 60 overall                                                     D]Loses Rs. 5.06 per orange    E) Gains Rs. 75.90 overall
93. If 22n-1 = ( ) then the value of n is
A]3                                         B]2                                         C]0                                       D]-2
94. What is the unit digit of the following sum:  1 + 22 + 33 + 44 + 55 + 66?
A]0                                         B]4                                         C]7                                       D]9
95. What is the value of
A]7a                                       B]a7                                        C]a-7                                       D]None of the above
96. The permutations and combinations of abcd taken 3 at a time are respectively:
A]12, 2                                  B]24, 4                                  C]36, 6                                  D]48, 8
97. Which number should be subtracted from 876905 so that it can be divisible by 8?
A]1                                         B]2                                         C]3                                       D]4
98. Which of the following numbers is divisible by 11?
A]1042                                  B]1045                                  C]1047                                D]1048
99. An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance, then how long will it take to cool the room?
A]About 22 minutes                       B]About 20 minutes   C]About 30 minutes            D]About 25 minutes
100. A man sells 12 candies for Rs. 12 and loses Rs. 2.40. If he sells 12 candies for Rs. 16, how much does he gain or lose?
A]Gain Rs. 4                        B]Loses Rs. 6                      C]Gain Rs. 6.40       D]Loses Rs. 1.60     E) Gain Rs. 1.60      
101. Shobit bought 300 liters of milk at Rs. 19 per liter. He added 200 liters of water to it and sold 400 liters of milk at Rs. 20 per liter. To the rest, he added 10 liters more water and then sold it for Rs. 15 per liter. If he used mineral water that costs Rs. 10 per liter, then the total money earned by Shobit is:
A]Rs. 4, 000                         B]Rs. 4,150                          C]Rs. 1, 800                         D]Rs. 1, 850
102. A car is 250 meters behind the bus. The car and bus are moving with the speed of 60 km/hr and 35 km/hr respectively. The car will be ahead of bus by 250 meters in:
A]37 seconds                     B]48 seconds                     C]72 seconds                   D]68 seconds        E) None
103. If the price of rice increases by 30% then by what percent should its consumption be decreased so that the total expenditure remains same?
A]76.92%                             B]23.07%                             C]30%                                 D]25%                      E) 42.85%
104. 49 pumps can empty a reservoir in 6  days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in how many days?
A]2.6 days                              B]3 days                 C]2.5 days                      D]2 days
105. What is the value of (10101)2 in decimal number system?
A]42                                       B]18                                       C]20                                       D]21
106. A rectangle’s length is four times its breadth. It has an area of 2500 square yards. What is the length of the rectangle?
A]25 yards                           B]100 yards                         C]625 yards                      D]5 yards
107. Ratio between speeds of two trains is 5:3. If the first train runs 350 km in 2 hours, then what is the speed of the second train?
 A]100 kmph                       B]115 kmph                           C]105 kmph                          D]210 kmph
108. What is the unit digit of 2720?
A]1                                         B]5                                         C]12                                          D]20
109. In a mall, 20% area is occupied by eateries, 60% area is open. In the remaining area of 1600 sq meter, there are different showrooms. What is the total area occupied by the mall?
A]10.000 sq m                    B]5, 000 sq m                     C]8, 000 sq m                   D]4, 800 sq m
110. What is the least number by which 1470 must be divided to get a number which is a perfect square?
A]7                                         B]30                                       C]35                                    D]42
111. The question consists of two statements – 1 and 2. Find out if the information given in the statement(s) is sufficient to find the solution to the problem.
What will be the cost of fencing a rectangular compound if the wire costs Rs. 20 per meter?
Given:
1. Area = 40 m2                                                                        2. Length = 2 x Breadth
A]Only 1                               B]Only 2                               C]Either 1 or 2                    D]Both 1 and 2
112. The causes of productivity loss are to be written around a circle in the annual report. In how many ways can an analyst write them around the circle, if the number of causes is 5?
A]5!                                       B]5C5                    C]5P5                           D]4!                                  E) 4C4
113. Ram and Ravi were playing with a paper phone, frustums of which are attached to each other by 95 m long string. If boat start moving in opposite directions at a speed of 18 m/min and 20 m/min respectively, after how many minutes will both have to stop?
A]2 min                B]2.5 min                           C]3 min  D]3.5 min
114. A juice container was  full. Ravinder poured 4 glasses from it and then poured two glasses back. The container is  full now. How many glasses can be filled if the entire container of juice is emptied?
A]32                                  B]36                                      C]44                               D]40
115. 4.28 and -3.28 are two numbers on a real number line. If 1 is added to both the numbers, then which of the following is true?
A]Distance between the two new numbers is 2 units more than the distance between 4.28 and -3.28.
B]Distance between the two new numbers is 2 units less than the distance between 4.28 and -3.28.
C]Distance between the two new numbers is equal to the distance between 4.28 and -3.28.
D]None of the above
116. 10 scooters, 5 motorcycles and 15 cars are parked in the parking area of a market. What is the probability that a scooter will leave the parking first?
A]                                          B]                                           C]                                           D]
117. In a town of 2, 00, 000 citizens, if the population increases at the rate of 4% per annum, then what will be the population of the town in 2 years from now?
A]2, 10, 000                                         B]3, 55, 555                                                      C]1, 84, 320                           
D]2, 16, 000                                         E) 2, 16, 320
118.  Which number should be added to 113257 so that it can be made divisible by 9?
A]4                                         B]6                                         C]8                                       D]10
119. In a class of 80 students,  of them own cars. If  of them own Alto then how many own Alto?
A]64                                B]20                                    C]60                               D]Data In consistent
120. What is z in :  = 10?
A]0.14                                   B]1.4                                      C]0.014                                 D]14





QUANTITATIVE ABILITY SET-3

1.       Simplify
                 A] 2                                  B] 6                                   C] 3                                   D] 4
2.       logx2(81-24x) = 1; solve for x.
A] x = 3 or -7                       B] x = 3 or -27               C] x = 9 or -67                     D] x = 67 or 3
3.       What is the value of
A] 7a                                      B] a7                                 C] a-7                                       D] None of the above
4.       A detergent powder company is having a contest. Each pack of 1kg contains one of the letters B, A, M and O. In every 20 packs, there are four Bs, five As, ten Ms and one O. What is the probability that a pack will have a B?
A]                                         B]                                    C]                                            D]
5.       A jar contains 5 white, 8 red, 2 blue and 3 black balls. Find the probability that a ball drawn at random is red or blue.
A]                                         B]                                 C]                                         D]
6.       Which smallest number should be multiplied by 45 so that it will have 3 distinct prime factors?
A] 2                                        B] 3                                  C] 5                                          D] 7
7.       The LCM and HCF of two numbers are 2970 and 30 respectively. Prime factors of the product of two numbers are:
A] 2, 3, 5, 11                        B] 2, 3, 7, 11                   C] 2, 4, 5, 11                         D] 2, 3, 7, 13
8.       Let P be the greatest number that will divide 522, 762 and 1482, leaving the same remainder in each case. What is the sum of the digits in P?
A] 4                                        B] 6                                    C] 8                                         D] 10
9.       A rectangle’s length is four times its breadth. It has an area of 2500 square yards. What is the length of the rectangle?
A] 25 yards                          B] 100 yards                    C] 625 yards                         D] 5 yards
10.   Which number should be subtracted from 876905 so that it can be divisible by 8?
A] 1                                        B] 2                                    C] 3                                          D] 4
11.   The value of a in loga 0.0196 = 2 is
A] 0.14                                  B] 1.4                                 C] 0.7                                      D] 0.07
12.   Convert 4.3333…….. into p/q form
A]                                    B]                                 C] 39                                    D] None of the above
13.   A, B and C are three students who attend the same tutorial classes. If the probability that on a particular day exactly one out of A and B attends the class is ; exactly one out of B and C attends is ; exactly one out of C and A attends is . If the probability that all the three attend the class is , then find the probability that at least one attends the class.
A]                                B]                                C]                                     D]
14.   If a = 2 and b2 – ab = - 1 then what is the value of log(a+b)(a3 + b3)?
A] 1                                     B] – 1                                   C] 2                                           D] – 2
15.   What is the largest power of 20 contained in 100!?
A] 56                                   B] 1                                      C] 24                                         D] 2
16.   16 men complete one – fourth of a piece of work in 12 days. What is the additional number of men required to complete the work in 12 more days?
A] 48                                   B] 36                                    C] 30                                         D] 16
17.   An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at same instance, then how long will it take to cool the room?
A] About 22 minutes                                                                                    B] About 20 minutes  
C] About 30 minutes                                                                                    D] About 25 minutes
18.   A vendor purchases binder clips at 12 for Rs. 60. How many clips should he sell for Rs. 60 to earn a profit of 20%?
A] 5                                        B] 8                                  C] 6                                              D] 10
19.   A bag is full of 20 bananas and no other fruit. Rajeev draws a fruit from the bag. What is the probability that he will draw a banana?
A] 1                                        B] 0                                  C]                                             D] None of these
20.   What is the value of ?
A] 0.3                                 B] 0.03                        C] 0.003                               D] None of these
21.   What is the probability of getting an even sum of score in a throw of 2 dice?
A]                                  B]                                   C]                                      D]
22.   The possibility that a student passes a subject A, B or C is 98%. The probability that he or she passes A is 41%, B is 59%. The probability that he or she passes A and B is 15%, A and C is 25% and B and C is 20%. The probability that he or she passes all the three subjects is 14%. What is the probability that he or she passes subject C?
A] 0.44%                              B] 50%                               C] 44%                                      D] 38%
23.   The rate at which a sum will become 10 times itself in 20 years at simple interest is:
A] 45%                                  B] 50%                               C] 47.50%                                D] 49%
24.   The largest number that always divides the difference of a three – digit number and the number formed by reversing its digits is:
A] 1                                        B] 3                              C] 9                                D] 11                        E] 99
25.   A shopkeeper offers ‘Buy 1, Get 1 Free’ offer on a T – shirt marked at Rs. 2, 400. If after a sale, the shopkeeper earns a profit of 33.33% then what is the actual price of the T- shirt?
A] Rs. 900                            B] Rs. 800             C] Rs. 1200                        D] Rs. 1, 000          E] Rs. 1, 500
26.   Find the number to be multiplied by (-6)-1, so as to get (-8)-1 as the product?
A]                                     B] -                                     C]                                                  D] -
27.   (173*  * )*( )-1 =
A]                              B]                               C] 175                   D] 1712               E] 1
28.   Find the value of p which satisfies the relation log2(p – 1) + 2 = log2(3p + 1).
A] 1                                        B] 3                                       C] 5                                         D] 7
29.   Namita has 4.2 kg of flour. She has been asked to make 5 cup cakes out of every  kg of flour. How many cup cakes can she bake out of the flour she has?
A] 21                                      B] 24                                      C] 30                                      D] 42
30.   There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and that of the last three is 1001. Find the first number.
A] 5                                        B] 7                                        C] 11                                      D] 17
31.   What is the value of the expression 423 * 520 * 6-2 * 32 * 5-5 * 2-46 * 5 -10 * 110 * 5-5?
A]                                       B]                                           C] 4                                  D] 510
32.   Which number should be subtracted from 321 so that it becomes prime?
A] 2                                        B] 4                                        C] 6                                        D] 9
33.   A person buys a mobile phone for Rs. 7, 500 and sold it for Rs. 6, 000. What is the loss percentage?
A] 0.05                                  B] 0.1                                     C] 0.15                                  D] 0.2
34.   What will be the value of x in the expression [722 – 282 = 50x]?
A] 44                                      B] 46                                      C] 86                                      D] 88
35.   (8m4n5)/(2m3n2) =
A] 4mn3                                                B] 4m3n                                C] 3mn4                                                D] 3m4n
36.   What is the value of log 2205?
Given that log 5 = a, log 7 = b and log 3 = c.
A] 2b – a – 2c             B] a + 2b + 2c                  C] 2a – b + 2c         D] a – 2b + 2c               E] a + 2b – 2c
37.   Recycling 900 kg of paper saves 17 trees. How many trees are saved when 1200 kg of paper are recycled?
                A] 19                                       B] 25                                    C] 20                                     D] 22
38.   In how many ways can the digits 2, 3, 5, 7 and 9 be placed to form a three – digit number so that the higher order digit is always greater than the lower order digits? (Assume digits are all different)
A] 8                                        B] 9                                       C] 10                                       D] 15
39.   A goods carriage of length 2 km, headed to Srinagar from Punjab was running at a speed of 30 Km/hr. it crosses a tunnel which is 58 km long with that speed. Find the time taken by the goods carriage to cross the tunnel.
A] 4 hours                          B] 3 hours                           C] 2 hours                             D] 1 hour
40.   Zegna car was in rage two years back and it costs Rs. 5, 60, 000 then. Now, however, with many new hi-tech cars coming into the market, the price of the car has dipped to Rs. 4, 00, 000. Find the decrease in price of the cars as a percentage of the old price.
                A] 28%                                  B] 28.57%                            C] 40%                                D] 71.42%
41.   A home security system provides a security codes for a door, which consist of five buttons. Code may be generated by pressing any one button, any two, any three, any four, or all five buttons. How many such codes are possible?
A] 32                                      B] 5                                        C]31                                       D] 10
42.   8 friends A, B, C, D, E, F, G, H are to be seated around a round table. Find the probability that A and B never sit next to each other.
A] 2/7                                    B] 5/7                                    C] 3/8                                    D] 5/8
43.   In a match awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75 kg weight awards. If the weight of the match winning trophy is 1.275kg, what is the weight of the award given to each player?
A] 200grams                       B] 150 grams                      C] 124 grams                      D] 134 grams.
44.   A trend was observed in the growth of the population in Saya islands. The population tripled every month. Initially the population of the Saya Island was 100. What would be its population after 4 months?
A] 100*4^3                         B] 100*3^4                          C] 100*3*4                          D] (100^3)^4
45.   What is the value of 6^-2.
A] -1/36                                B] 36                                      C] -36                                    D] none of the above.
46.   Find the value of log1+log2+log3
A] 1                                        B] 2                                        C] 3                                        D] None of the above
47.   What is the value of log3(1.5) +log3 (6).
A] 2                                        B] 2.7                                     C] 1.8                                     D] None of the above
48.    When 40 is subtracted from 50% of a number, the result is 50% of 500. Find one-tenth of the number.
A] 29                                      B] 58                                      C] 75                                      D] 87
49.   What is the greatest positive power of 5 that divides 30! Exactly.
A] 5                                        B] 6                                        C] 7                                        D] 8
50.   If the sum of squares of two numbers is 164 and their HCF and LCM 2 and 40 respectively. Then the numbers are.
A] 4,8                                    B] 4,10                                  C] 8,10                                  D] 10,12
51.   What is the least number by which 16,800 must be divided to get a number which is perfect square?
A] 42                                      B] 24                                      C] 21                                      D] 40
52.   Which of the options is equivalent to the expression ln(2x+5)(3x+2)^2.
A] ln(2x+5)+ 2 ln(3x+2)                                                                 B] 2ln(6x^2+19x+10)
C] ln(2x+5)+ln(3x+2)+ln2                                                             D] 2[ln(2x+5)+ln(3x+2)]
53.   A number which when divided by 5 leaves remainder 2. When the square of the number is divided by 5, the remainder will be.
A] 4                                        B] 2                                        C] 1                                        D] 3
54.   Ravi has a bag full of 10 nestle and 5 Cadbury chocolates. Out of these he draws two chocolates. What is the probability that he would get at least one nestle chocolate.
A] 19/21                               B] 3/7                                    C] 2/21                                  D] 1/3
55.   What should be multiplied to 2880 to make it a perfect square?
A] 2                                        B] 3                                        C] 5                                        D] 7
56.   The list price of an electric iron is Rs300.If two successive discounts of 15% and 10% are allowed its selling price will be.
A] RS 229.50                       B] Rs 231.50                        C] Rs 232.50                        D] Rs 234.50
E] None of these
57.   A box contains 10 balls numbered 1 through 10. Anuj, anisha and amit pick a ball each, one after the other each time replacing the ball. What is the probability that anuj picks a ball numbered less than that picked by anisha , who in turns picks lesser number ball than amit.
A] 3/25                                 B] 1/6                                    C] 4/25                                  D] 81/400
58.   A scuba driver descends at rate of 40 feet per minute. A diver dives from a ship to search for a lost ship at the depth of 3000 feet below sea level. How long will it take to reach the ship?
A] 70 minutes                    B] 72 minutes                   C] 75 minutes                    D] 76 minutes
59.   11 and 13 perfectly divide which of the following number.
A] 7,23,456                          B] 4,89,489                          C] 4,82,440                          D] 7,77,700
60.   3 empty CD’S and two pen drives cost Rs 790. 2 empty CD’S and 3 pen drives cost Rs 1110. What is cost of one pen drive?
A] Rs30                                 B] Rs350                               C] Rs25                                 D] Rs300

QUANTITATIVE ABILITY SET-4



1.       A street seller bought maize corns for Rs 20 per kg. In one kg there are approximately 5 heads of corns. He sells roasted corns for Rs 8 per piece. How many corns will he have to sell in order to earn a profit of Rs 200 in a day?
A] 60                                      B] 50                                      C] 40                                      D] 80
2.       In a promotional sale, a company sells a gymnasium kit consisting of a bag worth Rs 999, a towel worth Rs 299, a pair of shoes worth Rs 1999, a sipper worth Rs199 for Rs 2999. What is the net saving for buyer?
A] 0.14                                  B] 0.2                                     C] 0.1                                     D] 0.25
3.       In a team party the manager, the supervisor, and the module lead want to sit together. Also the developer and the consultant need to sit together for some discussion. In how many ways can a total of 20 team members be seated around a round table?
A] 19!                                    B] 16!                                    C] 16!/(3! 2!)                      D] 16!5!
E] 16!2!3!
4.       40% of the company staff are females. What is the probability that a set of 7 records of the employees taken at random from the cupboard has 2 records of female staff?
A] 7P2*(0.40)^5*(0.60)^2                                              B] 7P2 (0.40)^2*(0.60)^5
C] 7C2(0.40)^2*(0.60)^5                                                 D] 7C2(0.40)^5(0.60)^2
5.       6 interns and 2 managers working together can do five times the work that an intern and a manager can do. Calculate the ratio of the working capacities of an intern and the manager.
A] 3:1                                    B] 1:3                                     C] 2:3                                     D] 3:2                   E] 2:5
6.       A group is analyzing quality control problems. Suppose that the probability of a defective shape is 0.03 and the probability of a defective paint job is 0.60. What is the probability of non-defective items?
A] 0.09                                  B] 0.18                                  C] 0.32                                  D] 0.03                
E] None of these.
7.       A single letter is chosen at random from the word “ADMINISTRATION”. Which of the following is not a mutually exclusive event?
A] Choosing one the A’s                                                               B] Choosing an A or a D
C] Choosing an A or a vowel.                                       D] Choosing an A or a consonant.
8.       Out of every 100 people in police department, 10 are women. Out of every 100 people in military forces, 3 are women. In a batch of 180 police personnel and 200 army personnel, how many of them would be women?
A]24                                       B]30                                       C]18                                       D]6
9.        Find the greatest 5-digit number that is exactly divisible by 3, 4, 5 and 7.
A] 99940                               B] 99960                               C] 99970                               D] 99990
10.   What is the LCM of 3,2.7 and .09?
A]0.27                                   B]2.7                                      C]27                                     D]2700
11.   There are 5 clients and 5 consultants in a round table meeting. In how many ways can the clients be seated such that no consultant is next to the other consultant?
A] 5! 6!                                                                                                                 B] 4! 4!                                 
C] 4! 5!                                                                                                                  D] 9!     
E] 10C55! 4!
12.    Evaluate log 53 176
A]2log5 17                                                                                                            B] log
517         
C] log51718                                                                                                                                                              D]0.5log175                 
E] 2log12517
13.    A company decides to reorganize its financial transaction files and put all such files into various drawers. In how many ways can 7 files be put into drawers, if any number of files can be put in each drawer?
A] 73                                                                                                                          B] 7P3
C] 7!/4!                                                                                                                 D]  37
E]  7C3
14.   In how many ways can a person arrange 6 blue notepads, 7 red notepads and 9 yellow notepads in his shelf?               
A] 22P6. 16P7. 9P9                                                                                                                           B] 22C7. 16C6. 9C9  
C] 22P22/(9P9. 6P6. 7P7)                                                                       D]22C22/(9!. 6!.7!)                            
E] 22!. 6!. 7!. 9!
15.   In AMY Company, the probability that an employee takes a sick leave as well as a casual leave in a month is 0.15. The probability that an employee takes a sick leave in a month is 0.45. What is the probability that the employee would take a casual leave given that he would take a sick leave?         
A] 0.33                                  B]0.42                                   C]0.66                                   D]0.7
16.    A panel received 70 white papers for review and approval.  White paper can be rejected if the content is found to be copied from any source. The white paper content should be a good quality work, well documented as per standards and should have proofs of the research. From last year’s record analysis, the probability that a white paper will be published was 94%. What is the probability that out of 5 white papers taken at random from this year’s lot, 4 will get published taking into consideration, last year’s performance?
 A] 0.3                                                                                                                   B] 5C4(0.06)4. (0.94)
C] 5P4(0.06)4. (0.94)                                                                                         D]5C4(0.9)]4. (0.06)                                   E] 5P4(0.94)4. (0.06)
17.    Steward’s assigns 1/8th of his monthly salary for food. Steward’s total food bill for the month is Rs. 6500. What is the Steward’s yearly salary?
A] Rs. 9,750                         B] Rs 12,174                        C] Rs. 5,76,000                   D] Rs. 624,000
18.    The value of 343 raised to the power log716 is :
 A]4,096                                B] 2,401                                C] 343                                  D] 7
19.   A trend was observed in the growth of population in Saya islands. The population tripled every month. Initially, the population of Saya Islands was 100. What would be its population after 4 months?
A]100*43                                             B]100*34                                             C]100*3*4                           D] (1003]4
20.    Micro – Sims Pvt. Ltd. Produces 1,200 phones every day.  If out of these, 2  1/3 % are faulty and 4 1/3 % are defective in packaging, then how many non- faulty and non-defective packaged phones are produced every day?
A] 80                                      B]120                                     C]1080                                 D] 1120
21.    What number should be added to 306 so that it becomes prime?
A]3                                         B] 5                                        C]9                                         D] 13
22.    Which number is divisible by 11?
A]2,118                                 B] 2,116                                C]2,114                                 D]2,112
23.   A teacher asks the student to solve for x, where the given expression is:
(a/b)x-1  = (b/a)x-3 Find x.
A]1                                         B]2                                         C] ½                                       D]4
24.    Two pizzas of equal sizes are divided into 4 and 6 parts respectively.  Deepti ate 2 slices of first pizza and Ritu ate 2 slices of second pizza. Who ate more and by what fraction?
A] Deepti, 1/6 more        B] Ritu, 1/5 more              C] Deepti, 1/3                    D] Ritu, ½ more
25.    Ram and Ravi were playing with a paper phone, frustums of which are attached to each other by 95 m long string. If both start moving in opposite directions at a speed of 18 m/min and 20 m/min respectively, after how many minutes will both have to stop?
A] 2 min                               B] 2.5 min                            C]3 min                                 D]3.5 min
26.     If 764xy is divisible by 90, then what is the value of x+y?
A] 1                                        B] 3                                        C] 5                                        D]6
27.   Sum of digits of a 3 digit number is subtracted from the number. The resulting number is  divisible by________.
A] 6                                        B]9                                         C] Both 6 and 9                  D] All 3,6, 9
28.   The causes of productivity loss are to be written around a circle in the annual report. In how many ways can an analyst write them around the circle, if the number of causes is 5?
A] 5!                                      B] 5C5                                     C] 5P5                                                       D]4!                       E] 4C4
29.   Rahul played well in this season. His current batting average is 51. If he scores 78 runs in today’s match, his batting average will become 54. How many matches had he played in this season?
A]8                                         B]10                                       C]9                                         D]6
30.    Aman deposits 5000 in his bank account for 5 years to earn an interest of 12%.  What is the amount he gets after 5 years?
A] 2000                                 B]3000                                  C]5300                                  D]8000                  E] 8300 
31.   Swapan has kept RS. 2000 at 15 % simple interest in a bank for two years.  If she had kept the same amount at compound interest for two years.  How much extra she would have earned?
A]350                                    B]450                                     C]300                                     D]400
32.    What is the value of log10a+log 10(b+1)?
A]log10a                                                B]log10b                                                C]log10 (ab+a)                    D]log10  (a+b+1)
33.   What are the values of X and Y in 72X23Y for it to be perfectly divisible by 88?
A] X=1 & Y=5                      B] X=7 & Y=5                      C] X=3 & Y=2                      D] X=7 & Y=2
34.   If ,then the value of x is equal to:
A]3                                         B]7                                        C]-7                                        D]-3 
35.   If 2 = 0.3010, find the value of 25.
A] 1.2                                    B] 1.3                                     C] 1.4                                     D] 1.5  
36.   Log 3600 is equal to
A] 2log6 + 1                         B] 6log2 + 1                         C] 2log6 +2                          D] 6log2 + 2
37.   The HCF of 63 ,105 and 147 is:
A]3                                         B]7                                         C]9                                         D]21 
38.   The average of 7 numbers is 50. The average of first three of them is 40, while average of last three is 60. What must be the remaining number?
A] 65                                      B] 55                                      C] 50                                      D] 45 
39.   What is the remainder if  is divided by 7?
A] 25                                      B] 8                                        C] 1                                        D] 0
40.   The HCF of two numbers is 16. Which one of the following can never be their LCM?
A] 64                                      B] 78                                      C] 112                                    D] 128  
41.   When price of a pair of shoe is decreased by 10%, the number of pairs sold increased by 20%. What is the net effect on sales?
A] 8% decrease                 B] 10% decrease               C] 10% increase                D] 8% increase 
42.    Ajay, Abhijeet and Ramesh are eligible to be captain of the cricket team. Shaid , John , Shisir and Nitin are eligible to be co-captain. How many possible outcomes are there for choosing a captain and a co-captain? 
A] 12                                      B] 7                                        C] 9                                        D] 16  
43.    If a coin with both heads is tossed, then probability of obtaining a tail is:
A] 0                                        B] ½                                       C] 1/3                                    D] 1        
44.    Which of the following number should be added to 3651 so that it is divisible by 21?
A] 1                                        B] 2                                        C] 3                                        D]4  
45.    Mumbai Rajdhani takes 16 hours to reach Mumbai from Delhi while Swaraj express takes 20 hours. The ratio of speed of both the train:
A] 1:4                                    B] 4:5                                     C] 5:4                                     D] 3:2   
46.    In how many ways can the digits 2,3,5,7 and 9 be placed to form a three digit number so that higher order digit is always greater than lower order digits? (Assume digits are all different)
A] 8                                        B] 9                                        C] 10                                      D] 15 
47.   What will be the value of A and B: A8 + 96 = 1AB
A] A=2, B=4                        B] A=4, B=2                         C] Inconsistent data        D] Insufficient data  
48.    Which of the following is greatest among the four given values of x?
A] x=                              B]x=                              C]x=                            D]x=   
49.    Three successive discount of 6% ,10% and 15% are equal to a single discount of
A] 25%                                  B] 28.9%                               C] 30%                                  D] 31%        E] 28.09%   
50.    If A varies jointly as B and cube of C. When A = 200, when B = 5 and C=2. Find A, when B= 6 and C = 3?
A] 810                                   B] 950                                    C] 1070                                 D] 1160
51.    A multiplex conducted a random survey of the movie goers to determine their preference in movies.  Of the 50 people surveyed, 35 preferred comedies. What is the probability that any movie goer will buy a ticket of comedy movies?
A] 7/10                                 B] 3/10                                  C] cannot be determined
52.    Simplify: 0.3434……+ 0.696969……+ 0.8080 -0.4444………-0.333333………-0.07070…..
A] 2                                        B] 1.5                                     C] 1.1489                              D] 0                        E] 1  
53.    18.345454…… is equivalent to:
A] 1009/55                          B] 1009/5500                      C] 1009/99                           D] 342/990         
E) 345/99
54.   Find the square root of 4.35 upto four digits
A]2.625                                 B]2.852                                 C]2.085                                 D]2.0112   
55.   The printed price on a book is Rs.400, a bookseller offers a 10% discount on it. If he still earns a profit of 20%, then the cost price of the book is:
A]Rs.280                              B]Rs.352                               C]Rs.360                               D]Rs.300 
56.   There are 2 bags A and B. Bag A contains 6 red flowers and 3 pink flowers whereas Bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?
A]4/9                                     B]1/3                                     C]5/4                                     D]5/9
57.   If the roots of the equation -ax + b=0 differ by 4 , then which of the following is true?
A]log (a+4) + log 4 = log b + log (a-4)                        B]2 log (a+4) – log 4 = log b 
C]2 log (a-4) – log 4 = log b                                           D]log (a+4) – log 4 = log b – log (a-4) 
58.   What are the numbers of ways of seating 7 candidates for an interview around a round table if all 4 women want to sit together?
A]4! 3!                                  B]4! 4!                                   C]7!                                        D]7C4 .4! 3!
E) 7C3 7!  
59.   In how many ways can 12 similar toys be equally divided among 4 kids?
A]
                          B]            C]12C3. 4                             D]12C3.9C3.6C3.3C3
60.   A group is analyzing quality control problems. Suppose that the probability of a defective shape is 0.03 and the probability of a defective paint job is 0.06. What is the probability of a non-defective item?
A]0.09                                   B]0.18                                   C]0.32                                   D]0.91

Suggested Courses for Summer Training

Dear Students, Following are the evaluated vendors through the School of Professional Enhancement -1 for all students, who will be u...