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. 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. 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. 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. (1.0816) 1/2= ?
Op 1: 0.14
Op 2: 1.4
Op 3: 1.004
Op 4: 1.04
Op 5:
Correct Op : 4


Ques. If the digit in the units place of a square natural number is 6, then the digit in the tens place will be:
Op 1: 1
Op 2: 3
Op 3: Even
Op 4: Odd
Op 5:
Correct Op : 4



Ques. (a+b)3-(a-b)3 can be factorized as:
Op 1: 2b(3a2+b2)
Op 2: 2a(3a2+b2)
Op 3: 2b(3b2+a2)
Op 4: 2a(a2+3b2)
Op 5:
Correct Op : 1


Ques. If 9x2+3px+6q when divide by 3x+1 leaves a remainder -3/4 and qx2+4px+7 is exactly divisible by x+1, then the values of p and q respectively will be:
Op 1: 0, 7/4
Op 2: -7/4, 0
Op 3: Same
Op 4: 7/4, 0
Op 5:
Correct Op : 4

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. 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. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in:
Op 1: 6 hrs.
Op 2: 20/3 hrs
Op 3: 7 hrs
Op 4: 15/2 hrs
Op 5:
Correct Op : 3

Ques. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Op 1: 60 gallons
Op 2: 100 gallons
Op 3: 120 gallons
Op 4: 180 gallons
Op 5:
Correct Op : 3


Ques. Ram and Shyam together do a work in 8 days. Both of them began to work. After 3 days Ram fell ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the whole work?
Op 1: 12
Op 2: 17
Op 3: 16
Op 4: 15
Op 5:
Correct Op : 1




Ques. Two workers A and B were employed for a work. A takes 8 hour more than the time taken by A and B together. If B takes 4.5 hours more than the time taken by A and B together, how long would A and B take together to complete the work?
Op 1: 7 hours
Op 2: 6 hours
Op 3: 5 hours
Op 4: 4 hours
Op 5:
Correct Op : 2

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 manufacturer of a certain item can sell all he can produce at the selling price of Rs. 60 each. It costs him Rs. 40 in materials and labour to produce each item and he has overhead expenses of Rs. 3000 per week in order to operate the plant. The numb
Op 1: 200
Op 2: 250
Op 3: 300
Op 4: 400
Op 5:
Correct Op : 1


Ques. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
Op 1: Rs. 110
Op 2: Rs.120
Op 3: Rs. 125
Op 4: Rs. 150
Op 5:
Correct Op : 4


Ques. If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Op 1: Rs. 50
Op 2: Rs. 160
Op 3: Rs. 200
Op 4: Rs. 225
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Op 1: 10
Op 2: 20
Op 3: 21
Op 4: 25
Op 5:
Correct Op : 3




Ques. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Op 1: Rs 4
Op 2: Rs 5
Op 3: Rs 6
Op 4: Rs 7
Op 5:
Correct Op : 3



Ques. Padam purchased 30 kg of rice at the rate of 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot
Op 1: Rs.12.50
Op 2: Rs. 13.50
Op 3: Rs. 14.50
Op 4: Rs. 15.50
Op 5:
correct opt:2

Aptitude Questions and Answers for PLACEMENTS

Ques. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Op 1: Rs. 169.50
Op 2: Rs. 170
Op 3: Rs. 175.50
Op 4: Rs. 180
Op 5:
Correct Op : 3

Ques. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Op 1: 10
Op 2: 20
Op 3: 21
Op 4: 25
Op 5:
Correct Op : 3

Ques. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ?
Op 1: Rs 4
Op 2: Rs 5
Op 3: Rs 6
Op 4: Rs 7
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

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

Aptitude Questions and Answers for PLACEMENTS

Ques. An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is:
Op 1: 8/27
Op 2: 1/27
Op 3: 26/27
Op 4: 2/3
Op 5:
Correct Op : 1


Ques. Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence of both A and B is 0.1. What is the probability that none of A and B occur?
Op 1: 0.3
Op 2: 0.4
Op 3: 0.7
Op 4: None of these
Op 5:
Correct Op : 2


Ques. An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearing on the fifth toss is:
Op 1: 1/2
Op 2: 1
Op 3: 0
Op 4: 4/5
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that the pencils are of the same colour?
Op 1: 5/108
Op 2: 1/6
Op 3: 5/18
Op 4: 4/9
Op 5:
Correct Op : 4


Ques. A single letter is drawn at random from the word, "ASPIRATION", the probability that it is a vowel is?
Op 1: 1/2
Op 2: 1/3
Op 3: 3/5
Op 4: 2/5
Op 5:
Correct Op : 1


Ques. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is:
Op 1: 291/364
Op 2: 371/464
Op 3: 471/502
Op 4: 459/512
Op 5:
Correct Op : 4