Aptitude Questions and Answers for PLACEMENTS

Ques. A = 11 * 22 * 33 * 44 * 55 * ……..1010. How many zeroes will be there at the end of A ?
Op 1: 6
Op 2: 15
Op 3: 10
Op 4: None of these
Op 5:
Correct Op : 2
Ques. If x = 3 + 31/2, then what is the value of x2 + 9/x2 ?
Op 1: 15 + 3 * 31/2
Op 2: 18 + 3 * 31/2
Op 3: 27 + 3 * 31/2
Op 4: None of these
Op 5:
Correct Op : 4
Ques. If x4 + 1/x4 = 47, then find the value of x3 + 1/x3
Op 1: 18
Op 2: 27
Op 3: 9
Op 4: 12
Op 5:
Correct Op : 1
Ques. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Op 1: 1
Op 2: 2
Op 3: 3
Op 4: 4
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. A biased die has a probability of 1/4 of showing a 5, while the probability of any of 1, 2, 3, 4, or 6 turning up is the same . If three such dice are rolled, what is the probability of getting a sum of atleast 14 without getting a 6 on any die ?
Op 1: 5/24
Op 2: 9/160
Op 3: 1/30
Op 4: 7/160
Op 5:
Correct Op : 4
Ques. A, B, C, D and E play the following game. Each person picks one card from cards numbered 1 through 10. The person who picks the greatest numbered card loses and is out of the game. Now the remaining four return their cards to the pack and draw again, and
Op 1: 3/14
Op 2: 4/17
Op 3: 1/5
Op 4: 5/24
Op 5:
Correct Op : 3
Ques. Which among the following is greatest: 51/2, 111/3, 1231/6 ?
Op 1: 51/2
Op 2: 111/3
Op 3: 1231/6
Op 4: All are equal
Op 5:
Correct Op : 1

Ques. What are the unit's digits of 369, 6864, 4725 respectively ?
Op 1: 9,6 and 6
Op 2: 6, 6 and 6
Op 3: 3,6 and 4
Op 4: None of these
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. If |x| + |y| = 7, then what is the sum of minimum and maximum values of x + y?
Op 1: 3/2
Op 2: -7
Op 3: 7
Op 4: 0
Op 5:
Correct Op : 4
Ques. 832.58-242.31 =779.84- ?
Op 1: 179.57
Op 2: 199.57
Op 3: 295.05
Op 4: None of these
Op 5:
Correct Op : 4
Ques. Which is the closest approximation to the product 0.3333 * 0.25 * 0.499 * 0.125 * 24 ?
Op 1: 1/8
Op 2: 3/4
Op 3: 3/8
Op 4: 2/5
Op 5:
Correct Op : 1
Ques. The simplification of (0.2 * 0.2 + 0.02 * 0.02 - 0.4 * 0.02) / 0.36
Op 1: 0.009
Op 2: 0.09
Op 3: 0.9
Op 4: 9
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. What is the highest power of 82 contained in 83!-82! ?
Op 1: 3
Op 2: 2
Op 3: 164
Op 4: None of these
Op 5:
Correct Op : 1
Ques. If x = 0.75, then what is the value of the expression (1+x+x2) + x3/(1-x) ?
Op 1: 0.25
Op 2: 4
Op 3: 1.75
Op 4: 1
Op 5:
Correct Op : 2

Ques. If a lies between 2 and 3, both included, and b lies between 4 and 6, both included, then what is the ratio of minimum and maximum limits of a2-b2?
Op 1: -4
Op 2: 4
Op 3: 32/7
Op 4: - 28/6
Op 5:
Correct Op : 3

Ques. If a, b, c are roots of the equation 1x3-4x2+6.5x + 3.5 = 0, then what is the value of a2 + b2 + c2?
Op 1: 1
Op 2: 64
Op 3: 169
Op 4: 3
Op 5:
Correct Op : 4

Aptitude Questions and Answers for PLACEMENTS

Ques. x4y-xy4 =
Op 1: xy(x-y)(x2 + xy + y2)
Op 2: xy(x+y)(x2-xy+y4)
Op 3: x(xy-1)(x2-xy+y)
Op 4: (x3+y2)xy
Op 5: None of these
Correct Op : 1
Ques. Factors of 6a2-25a+4 are:
Op 1: (a+4) (a-6)
Op 2: (a-4) (6a+1)
Op 3: (a-4)(6a-1)
Op 4: (a-6) (a-4)
Op 5: None of these
Correct Op : 3

Ques. The correct relationship after eliminating x, y and z from x+y = a, y+z=b and z+x = c and x+y+z = m, is:
Op 1: m=x+y+z
Op 2: 2m=a+b+c
Op 3: m=x-y-z
Op 4: 2m=x-y-z
Op 5: None of these
Correct Op : 2
Ques. If r = at2 and s = 2at, the relation among s, r and a is:
Op 1: s2=4ar
Op 2: s=ar
Op 3: s=2ar
Op 4: s2=ar
Op 5: None of these
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. The ascending order of rational numbers -7/10, 5/-8, 2/-3 is:
Op 1: -7/10, 2/-3, 5/-8
Op 2: -7/10, 5/-8, 2/-3
Op 3: 5/-8, -7/10, 2/-3
Op 4: 2/-3, 5/-8, -7/10
Op 5:
Correct Op : 1

Ques. If A is real and 1 + A + A2 + A3 = 40, then A is equal to:
Op 1: -3
Op 2: -1
Op 3: 1
Op 4: 3
Op 5:
Correct Op : 4


Ques. (1 + 3 + 5 + … + 3983) / 1992 = ?
Op 1: 1988
Op 2: 1992
Op 3: 1990
Op 4: None of these
Op 5:
Correct Op : 2


Ques. Which one of the following should be added to 25p2 + 16q2, so that the resulting sum becomes a perfect square?
Op 1: 20pq
Op 2: 30pq
Op 3: 40pq
Op 4: 50p2q2
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. Which of the following multipliers will cause a number to be increased by 29.7% ?
Op 1: 1.297
Op 2: 12.97
Op 3: 129.7
Op 4: 1297
Op 5:
Correct Op : 1


Ques. If 2A = 3B and 4B = 5C, then A: C is:
Op 1: 4 : 3
Op 2: 8 : 15
Op 3: 15 : 8
Op 4: 3 : 4
Op 5:
Correct Op : 3


Ques. 0.4777 . . . is the recurring decimal for the fraction:
Op 1: 4777/100000
Op 2: 477/100
Op 3: 437/1000
Op 4: 43/90
Op 5:
Correct Op : 4


Ques. 0.8888 ÷ 0.011 is equal to:
Op 1: 8.08
Op 2: 80.8
Op 3: 0.808
Op 4: None of these
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. If x * y = x2 + y2 - xy, then the value of 9 * 11 is:
Op 1: 93
Op 2: 103
Op 3: 113
Op 4: 121
Op 5:
Correct Op : 2


Ques. If a = 0.1039, then the value of (4a2 - 4a + 1)1/2 + 3a is:
Op 1: 0.1039
Op 2: 0.2078
Op 3: 1.1039
Op 4: 2.1039
Op 5:
Correct Op : 3


Ques. If a, b, c, d, e are five consecutive odd numbers, their average is:
Op 1: 5 (a + 4)
Op 2: (abcde/5)
Op 3: 5 (a + b + c + d + e)
Op 4: None of these
Op 5:
Correct Op : 4

Ques. (x % of 932) + 30 = 309.6
Find x.
Op 1: 25
Op 2: 30
Op 3: 35
Op 4: 40
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. Find the value of X :
0.009/X = 0.01
Op 1: 0.0009
Op 2: 0.09
Op 3: 0.9
Op 4: 9
Op 5:
Correct Op : 3

Ques. The least among the following is:
Op 1: 0.2
Op 2: 1/0.2
Op 3: 0.22222222
Op 4: (0.2)2
Op 5:
Correct Op : 4

Ques. In the following expression, there are two missing digits: * and #. Find the value of *.
1*5#4 / 148 = 78
Op 1: 1
Op 2: 4
Op 3: 6
Op 4: 8
Op 5: None of these
Correct Op : 1

Ques. What is the value of (-5)(4)(2)(-1/2)(3/4) ?
Op 1: -30
Op 2: -15
Op 3: 15
Op 4: 30
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. If 33 untrained labourers can do a work in 15 days of 12 hr. each, how many trained labourers can do 50% more work in 11 days of 9 hr each ? (It may be assumed that it takes 2 trained labourers to do the work of 5 untrained labourers)
Op 1: 42
Op 2: 36
Op 3: 90
Op 4: 100
Op 5:
Correct Op : 2


Ques. Which of the following fractions is less than 7/8 and greater than 1/3 ?
Op 1: 1/4
Op 2: 23/24
Op 3: 11/12
Op 4: 11/24
Op 5:
Correct Op : 4


Ques. 892.7 - 573.07 - 95.007 = ?
Op 1: 224.623
Op 2: 224.777
Op 3: 233.523
Op 4: 414.637
Op 5:
Correct Op : 1


Ques. Which is the closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
Op 1: 1/8
Op 2: 3/4
Op 3: 3/8
Op 4: 2/5
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. If 5 persons can do 5 times of a work in 5 days, then 10 persons can do 10 times of that work in:
Op 1: 10 days
Op 2: 8 days
Op 3: 5 days
Op 4: 2 days
Op 5:
Correct Op : 3


Ques. Two taps can fill a cistern in 6 min. and 7 min. respectively. If these taps are opened alternatively for a minute, in what time will the cistern be filled?
Op 1: 5.67 min
Op 2: 6.25 min
Op 3: 5 min
Op 4: 45/7 min
Op 5:
Correct Op : 4

Ques. Two taps A and B can fill a cistern in 28 min. and 42 min. respectively. Third tap C can empty it in 42 min. If all the three taps are opened, the time taken to fill the cistern is:
Op 1: 30 min
Op 2: 35 min
Op 3: 28 min
Op 4: 42 min
Op 5:
Correct Op : 3


Ques. 49 pumps can empty a reservoir in 6½ days, working 8 hours a day. If 196 pumps are used for 5 hours a day, then the same work will be completed in:
Op 1: 2.6 days
Op 2: 3 days
Op 3: 2.5 days
Op 4: 2 days
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?
Op 1: 1
Op 2: 7/2
Op 3: 7
Op 4: 49
Op 5:
Correct Op : 3


Ques. Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in:
Op 1: 6 days
Op 2: 4 days
Op 3: 3 days
Op 4: 12 days
Op 5:
Correct Op : 3


Ques. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in:
Op 1: 5 days
Op 2: 47/6 days
Op 3: 10 days
Op 4: 47/3 days
Op 5:
Correct Op : 3


Ques. A and B can do a job together in 7 days. A is 7/4 times as efficient as B. The same job can be done by A alone in:
Op 1: 28/3 days
Op 2: 11 days
Op 3: 49/4 days
Op 4: 49/3 days
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. I started on my bicycle at 7 a.m. to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 p.m. If my cycling s
Op 1: 4.92 km
Op 2: 13.44 km
Op 3: 14.375 km
Op 4: 15.476 km
Op 5:
Correct Op : 1



Ques. Find a whole number such that when one of its digit is erased, the resulting number is equal to one-ninth of the original number. The resulting number is also a multiple of 9.
Op 1: 90
Op 2: 83438
Op 3: 10125
Op 4: 70847
Op 5:
Correct Op : 3


Ques. A ship is moving at a speed of 30 kmph. To know the depth of the ocean beneath it, it sends a radiowave which travels at a speed 200 m/s. The ship receives back the signal after it has moved 500 m. What is the depth of the ocean?
Op 1: 4 km
Op 2: 8 km
Op 3: 6 km
Op 4: 12 km
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. The probability of occurrence of event X is 0.8 and that of event Y is 0.05. The events are mutually exclusive. What is the probability of occurrence of either X or Y?
Op 1: 0.85
Op 2: 0.75
Op 3: 0
Op 4: Cannot be determined
Op 5:
Correct Op : 1



Ques. 10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the vo
Op 1: 25000
Op 2: 33000
Op 3: 35000
Op 4: 40000
Op 5:
Correct Op : 1

Ques. A, B, C started a business with their investments in the ratio 1:3:5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is:
Op 1: 4:3:5
Op 2: 5:6:10
Op 3: 6:5:10
Op 4: 10:5:6
Op 5:
Correct Op : 2