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 13 + 23+ 33+ ……….+ 93 = 2025 ,then the value of (0.11)3 + (0.22)3 + ….+ (0.99)3 is close to:
Op 1: 0.2695
Op 2: 0.3695
Op 3: 2.695
Op 4: 3.695
Op 5:
Correct Op : 3
Ques. In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?
Op 1: 4/7
Op 2: 1/2
Op 3: 2/3
Op 4: 5/6
Op 5:
Correct Op : 3
Ques. 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 7/10; exactly one out of B and C attends is 4/10; exactly one out of C and A attends is 7/10. I
Op 1: 46/100
Op 2: 63/100
Op 3: 74/100
Op 4: 99/100
Op 5:
Correct Op : 4

Ques. 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 turn picks a lesser n
Op 1: 3/25
Op 2: 1/6
Op 3: 4/25
Op 4: 81/400
Op 5:
Correct Op : 1

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. If a+b=6, ab=5, the value of a-b is:
Op 1: 4
Op 2: 5
Op 3: 6
Op 4: 7
Op 5: 9
Correct Op : 1

Ques. |X - 5| + 4 > 0 and |X2| < 4. Then x can be:
Op 1: 4
Op 2: 2
Op 3: 0.5
Op 4: All of these
Op 5:
Correct Op : 3
Ques. If f(x) = sum of all the digits of x, where x is a natural number, then what is the value of f(101)+f(102)+f(103)+ .. +f(200)?
Op 1: 1000
Op 2: 784
Op 3: 999
Op 4: 1001
Correct Op : 4
Ques. Pawan is a very confused person. Once he wrote 1+2+3+4+5+6+7+8+9+10 = 100. In how many places you need to change '+' with ' * ' to make the equality hold good ?
Op 1: 2
Op 2: 4
Op 3: 3
Op 4: None of these
Correct Op : 3

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. If x = (1/2) (2p+2q-r), y = (1/3) (-p-2q+3r) and z=(1/5) (3p-4r+5q), then the value of 2x-3y-5z is:
Op 1: 0
Op 2: -q
Op 3: 2
Op 4: None of these
Op 5:
Correct Op : 2

Ques. The roots of the quadratic equation 6x2-5x+1=0 are:
Op 1: 2,3
Op 2: 1/2,1/3
Op 3: 3,4
Op 4: 1/3,1/4
Op 5: None of these
Correct Op : 2
Ques. If a = 16, b=25, the value of 1/(a-1/2 - b-1/2) is:
Op 1: 10
Op 2: 15
Op 3: 20
Op 4: 25
Op 5: 30
Correct Op :3

Ques. 3a2 (ab+bc+ca) =
Op 1: 3a2+3a2bc+3a3c
Op 2: 3a3b+3a2bc+3c
Op 3: 3a3b+3a2bc+3a3c
Op 4: a3b+abc+a2c
Op 5: None of these
Correct Op : 3

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. 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 ?
Op 1: 48
Op 2: 36
Op 3: 30
Op 4: 16
Op 5:
Correct Op : 4


Ques. A takes thrice as long to do a piece of work, as B takes. A and B together can do a piece of work in 7.5 days. A alone can do in:
Op 1: 30 days
Op 2: 40 days
Op 3: 50 days
Op 4: 60 days
Op 5: None of these
Correct Op : 1

Ques. A cistern can be filled by two pipes A and B in 10 and 15 hours respectively and is then emptied by a tap in 8 hours. If all the taps are opened, the cistern will be fill in:
Op 1: 21 hours
Op 2: 22 hours
Op 3: 23 hours
Op 4: 24 hours
Op 5: None of these
Correct Op : 4


Ques. A locomotive engine, without any wagons
attached to it, can go at a speed of 40 km/hr. Its speed is diminished by a quantity that varies proportionally as the square root of the number of wagons attached. With 16 wagons, its speed is 28 km/hr. The
Op 1: 99
Op 2: 100
Op 3: 101
Op 4: 120
Op 5:
Correct Op : 2

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. 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

Aptitude Questions and Answers for PLACEMENTS

Ques. Shikhar has a bag with 2 balls, each of which can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event, what is the probability that both balls are black?
Op 1: 1/2
Op 2: 1/4
Op 3: 1
Op 4: None of these
Op 5:
Correct Op : 1


Ques. A coin is tossed thrice. What is the probability that the first toss of coin lands head, second tail and third lands tail as well?
Op 1: 1/16
Op 2: 3/8
Op 3: 1/8
Op 4: None of these
Op 5:
Correct Op : 3

Ques. The probability of occurrence of event A is 0.1 and that of event B is 0.2. The events are mutually exclusive. What is the probability of occurrence of both A and B?
Op 1: 0.1
Op 2: 0
Op 3: 1
Op 4: Cannot be determined
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. The probability of drawing an apple from a bag of fruits is 6/25. How many apples should Ravi draw, so that there is a chance he will draw 12 apples on average?
Op 1: 25
Op 2: 50
Op 3: 12
Op 4: None of these
Op 5:
Correct Op : 2



Ques. What is the probability for a day to be Sunday?
Op 1: 1/7
Op 2: 1/5
Op 3: 52/365
Op 4: None of these
Op 5:
Correct Op : 1

Ques. Rani has a bag with three blue and three yellow coins. She takes out a coin, sees its colour and puts it back in the bag. She does this thrice. What is the probability that she saw all blue coins.
Op 1: 1/8
Op 2: 1/2
Op 3: 1/3
Op 4: None of these
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. Three numbers are chosen from 1 to 30 randomly. The probability that they are not consecutive is:
Op 1: 1/145
Op 2: 144/145
Op 3: 139/140
Op 4: 1/140
Op 5:
Correct Op : 2


Ques. 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?
Op 1: 1
Op 2: 0
Op 3: 1/2
Op 4: None of these
Op 5:
Correct Op : 1


Ques. An unbiased dice is rolled 5 times and the outcomes are 1, 2, 3, 4 and 5 respectively. If it is rolled again, what is the probability that the outcome is 6?
Op 1: 1
Op 2: 5/6
Op 3: 1/6
Op 4: None of these
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. X and Y are two independent events. The probability that X and Y occur is 1/12, and the probability that neither occur is 1/2, the probability of occurrence of X can be:
Op 1: 1/3
Op 2: 1/5
Op 3: 1/2
Op 4: 1/10
Op 5:
Correct Op : 1


Ques. An unbiased coin is tossed n times. If the probability of getting 4 tails equals the probability of getting 7 tails, then the probability of getting two tails is:
Op 1: 55/2048
Op 2: 3/4096
Op 3: 1/1024
Op 4: None of these
Op 5:
Correct Op : 1


Ques. Sudhanshu and Pankaj stand in a circle with 10 other persons. If the arrangement of the person is at random, then the probability that there are exactly 3 persons between Sudhanshu and Pankaj is?
Op 1: 9/11
Op 2: 2/11
Op 3: 1/11
Op 4: None of these
Op 5:
Correct Op : 2