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. 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

Aptitude Questions and Answers for PLACEMENTS

Ques. There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red?
Op 1: 4/7
Op 2: 8/49
Op 3: 7/8
Op 4: 15/49
Op 5:
Correct Op : 4

Ques. Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the probability that he got at least one Nestle chocolate?
Op 1: 2/3
Op 2: 3/7
Op 3: 2/21
Op 4: None of these
Op 5:
Correct Op : 4

Ques. The probability of having at least one tail in 5 throws of a coin is
Op 1: 1/32
Op 2: 31/32
Op 3: 1/5
Op 4: None of these
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. A 5-digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability that the number formed is a multiple of 4?
Op 1: 1/4
Op 2: 1/5
Op 3: 2/5
Op 4: 1/120
Op 5: 4
Correct Op : 2


Ques. In a single throw of dice, what is the probability to get a number greater or equal to 4?
Op 1: 1/3
Op 2: 2/3
Op 3: 1/2
Op 4: None of these
Op 5:
Correct Op : 3


Ques. A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
Op 1: 3.5/12
Op 2: 7/12
Op 3: 5/12
Op 4: None of these
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. There are 10 yes or no questions. How many ways can these be answered?
Op 1: 1084
Op 2: 2048
Op 3: 1024
Op 4: 100
Op 5:
Correct Op : 3

Ques. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
Op 1: 24
Op 2: 31
Op 3: 32
Op 4: 30
Op 5:
Correct Op : 3

Ques. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Op 1: 1/22
Op 2: 3/22
Op 3: 2/91
Op 4: 2/77
Op 5:
Correct Op : 3


Ques. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:
Op 1: 4/19
Op 2: 7/19
Op 3: 12/19
Op 4: 21/95
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. A lady gives dinner party to five guests to be selected from 9 friends .The number of ways of forming the party of 5,given that two of the friends will not attend the party together is
Op 1: 56
Op 2: 126
Op 3: 91
Op 4: none of these
Op 5:
Correct Op : 3


Ques. Each question has four choices out of which only one is correct. A candidate has to answer four questions. The number of ways he fails to give all answers correctly, is
Op 1: 15
Op 2: 81
Op 3: 255
Op 4: 256
Op 5:
Correct Op : 3

Ques. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
Op 1: 1260
Op 2: 210
Op 3: 10C6 * 6!
Op 4: 10C5 * 6
Op 5:
Correct Op : 1

Aptitude Questions and Answers for PLACEMENTS

Ques. At an election there are five candidates and three members to be elected , and a voter may vote for any number of candidates not greater than the number to be elected. Then the number of ways in which a voter may vote is
Op 1: 25
Op 2: 30
Op 3: 32
Op 4: none of these
Op 5:
Correct Op : 4

Ques. There are n different books and p copies of each. the number of ways in which a selection can be made from them is
Op 1: np
Op 2: pn
Op 3: (p+1)n -1
Op 4: (n+1)p-1
Op 5:
Correct Op : 3

Ques. The sides AB, BC, CA of a triangle ABC have 3,4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is
Op 1: 220
Op 2: 204
Op 3: 205
Op 4: 195
Op 5:
Correct Op : 3

Aptitude Questions and Answers for PLACEMENTS

Ques. The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is
Op 1: 105
Op 2: 115
Op 3: 175
Op 4: 185
Op 5:
Correct Op : 4

Ques. There are 5 letters and five addressed envelops. the number of ways in which all the letters can be put in wrong envelops is
Op 1: 119
Op 2: 44
Op 3: 59
Op 4: 40
Op 5:
Correct Op : 2


Ques. The number of ways in which 8 different flowers can be strung to form a garland so that 4 particular flowers are never separated is
Op 1: 960
Op 2: 2880
Op 3: 288
Op 4: 576
Op 5:
Correct Op : 2

Aptitude Questions and Answers for PLACEMENTS

Ques. A five -digit number divisible by 3 is to be formed using numerals 0,1,2,3,4 and 5 without repetition. The total number of ways this can be done is
Op 1: 216
Op 2: 240
Op 3: 600
Op 4: 3125
Op 5:
Correct Op : 1


Ques. Let A be containing 10 distinct elements ,then the total number of distinct functions from A to A IS
Op 1: 10!
Op 2: 1010
Op 3: 210
Op 4: 210-1
Op 5:
Correct Op : 2


Ques. A polygon has 44 diagonals, the number of its sides is
Op 1: 10
Op 2: 11
Op 3: 12
Op 4: 22
Op 5:
Correct Op : 2

Apptitude Questions and Answers for PLACEMENTS

Ques. The value of 74P2 is
Op 1: 2775
Op 2: 150
Op 3: 5402
Op 4: none of these
Op 5:
Correct Op : 3


Ques. In how many different ways can the letters of the word ' HARDWARE' be arranged in such a way that the vowels always come together.
Op 1: 120
Op 2: 1080
Op 3: 1440
Op 4: 4320
Op 5: 720
Correct Op : 2


Ques. In how many ways a committee, consisting of 4 men and 10 women can be formed from 6 men and 10 women?
Op 1: 266
Op 2: 50
Op 3: 15
Op 4: 8640
Op 5: none of these
Correct Op : 3

Apptitude Questions and Answers for PLACEMENTS

Ques. Ram buys 7 novels from a book fair. Shyam buys 8 novels from the fair, none of which is common with those bought by Ram. They decide to exchange their books one for one. In how many ways can they exchange their books for the first time ?
Op 1: 7!x8!
Op 2: 7x8!
Op 3: 7!x8
Op 4: 56
Op 5:
Correct Op : 4

Ques. In an examination 10 questions are to be answered choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can 10 questions be answered ?
Op 1: 212
Op 2: 266
Op 3: 272
Op 4: 312
Op 5:
Correct Op : 2


Ques. A box contains 20 tickets of identical appearance, the tickets being numbered 1, 2, 3, ….., 20. In how many ways can 3 tickets be chosen such that the numbers on the drawn tickets are in arithmetic progression ?
Op 1: 18
Op 2: 33
Op 3: 56
Op 4: 90
Op 5:
Correct Op : 4

Apptitude Questions and Answers for PLACEMENTS

Ques. In CAT entrance examination paper there are 3 sections, each containing 5 questions. A candidate has to solve 5, choosing at least one from each section. The number of ways he can choose is
Op 1: 2,500
Op 2: 2,250
Op 3: 2,750
Op 4: 3,250
Op 5:
Correct Op : 2

Ques. A boy has 4 different boxes and 5 different marbles. In how many ways can he place the marbles in the boxes such that each box has at least one marble ?
Op 1: 560
Op 2: 240
Op 3: 420
Op 4: 36
Op 5:
Correct Op : 2

Ques. A teacher was trying to form the groups of students in such a way that every group has equal number of students and that number should be a prime number. She tried for first 5 prime numbers, but on each occasion exactly one student was left behind. If t
Op 1: 0
Op 2: 2
Op 3: 3
Op 4: 4
Op 5:
Correct Op : 4

Apptitude Questions and Answers for PLACEMENTS

Ques. A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 women. The shortlist consists of 9 men and 6 women. In how many ways can this be done?
Op 1: 3,724
Op 2: 3,630
Op 3: 4,914
Op 4: 5,670
Op 5:
Correct Op : 3

Ques. From a pack of 52 playing cards, 4 cards are removed at random. In how many ways can the 1st place and 3rd place cards be drawn out such that both are black ?
Op 1: 64,974
Op 2: 62,252
Op 3: 69,447
Op 4: 1,592,500
Op 5:
Correct Op : 4

Ques. In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match?
Op 1: 72
Op 2: 108
Op 3: 36
Op 4: 84
Op 5:
Correct Op : 1

Apptitude Questions and Answers for PLACEMENTS

Ques. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?
Op 1: 120
Op 2: 720
Op 3: 4320
Op 4: 2160
Op 5: None of these
Correct Op : 2

Ques. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
Op 1: 810
Op 2: 1440
Op 3: 2880
Op 4: 50400
Op 5: 5760
Correct Op : 4

Ques. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated ?
Op 1: 5
Op 2: 10
Op 3: 15
Op 4: 20
Op 5:
Correct Op : 4

Apptitude Questions and Answers for PLACEMENTS

Ques. Which is the largest among 21/2, 51/3 and 41/4 ?
Op 1: (2)1/2
Op 2: 51/3
Op 3: 41/4
Op 4: None of these
Op 5:
Correct Op : 2

Ques. What is the value of 10009/1004?
Op 1: 1005
Op 2: 105
Op 3: 1019
Op 4: None of these
Op 5:
Correct Op : 3

Ques. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together ?
Op 1: 120
Op 2: 720
Op 3: 4320
Op 4: 2160
Op 5: None of these
Correct Op : 2

Apptitude Questions ans Answers for Placements

Ques. What is the value of: x1.5 * x2 ?
Op 1: x3
Op 2: x3.5
Op 3: x0.75
Op 4: None of these
Op 5:
Correct Op : 2

Ques. What is the value of: (33*812*20)/95 ?
Op 1: 0
Op 2: 3
Op 3: 1/3
Op 4: None of these
Op 5:
Correct Op : 2

Ques. What number should be divided by (0.81)1/2 to give the result as 81?
Op 1: 9
Op 2: 81
Op 3: 72.9
Op 4: 0.9
Op 5:
Correct Op : 3

APPTITUDE FOR PLACEMENTS

Ques. If the simple interest on a sum at 4% per annum for 2 years is Rs. 80, then the compound interest on the same sum for the same period is:
Op 1: Rs. 86.80
Op 2: Rs. 86.10
Op 3: Rs. 88.65
Op 4: Rs. 81.60
Op 5:
Correct Op : 4

Ques. A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?
Op 1: 30
Op 2: 31.25
Op 3: 31
Op 4: 33
Op 5:
Correct Op : 2

Ques. A train leaves Delhi at 6.00 a.m. and reaches Agra at 10.00 a.m. Another train leaves Agra at 8.00 a.m. and reaches Delhi at 11.30 a.m. At what time do the two trains cross each other if the distance between Delhi and Agra is 200 km?
Op 1: 8.45 a.m.
Op 2: 8.56 a.m.
Op 3: 9.20 a.m.
Op 4: 9.56 a.m.
Op 5:
Correct Op : 2