Explore topic-wise MCQs in Aptitude.

This section includes 143 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

1.

A natural number is selected at random from the set x = { x : 1 x 100 }. The probability that the number satisfies the inequality x2 - 13x 30 is ?

A. 5/9
B. 9/50
C. 3/20
D. 7/9
Answer» D. 7/9
Discussion
2.

If the integer m and n are chosen at random between 1 and 100, then the probability that a number of the from 7m + 7n is divisible by 5 equals ?

A. 1/4
B. 1/7
C. 1/8
D. 1/49
Answer» D. 1/49
Discussion
3.

The letters B, G, I, N, R are rearranged to form the word 'BRING'. Find its probability ?

A. 1/120
B. 1/5
C. 1/24
D. 5/5 x 4
Answer» B. 1/5
Discussion
4.

The probability that a marksman will hit a target is given as 1/5. Then his probability of at least one hit in 10 shots, is ?

A. 1 - (4/5)
B. 1/ (5)
C. 1 - 1/ (5)
D. (4/5)
Answer» B. 1/ (5)
Discussion
5.

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card ?

A. 4/13
B. 1/4
C. 9/52
D. 1/13
Answer» B. 1/4
Discussion
6.

The probability that a person will hit a target in shooting practice is 0.3 . If he shoots 10 times. Then the probability of his shooting the target is ?

A. 1
B. 1 - (0.7)
C. (0.7)
D. (0.3)
Answer» E.
Discussion
7.

A single letter is selected at random from the word 'PROBABILITY' . The probability that it is a vowel, is ?

A. 3/11
B. 4/11
C. 2/11
D. 0
Answer» C. 2/11
Discussion
8.

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">3</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">20</td> </tr> </tbody></table>
B. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">29</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">34</td> </tr> </tbody></table>
C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">47</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">100</td> </tr> </tbody></table>
D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">13</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">102</td> </tr> </tbody></table>
Answer» E.
Discussion
9.

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
A. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">13</td> </tr> </tbody></table>
B. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">3</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">13</td> </tr> </tbody></table>
C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">4</td> </tr> </tbody></table>
D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">9</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">52</td> </tr> </tbody></table>
Answer» C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">4</td> </tr> </tbody></table>
Discussion
10.

Two dice are tossed. The probability that the total score is a prime number is:

A. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">6</td> </tr> </tbody></table>
B. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">5</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">12</td> </tr> </tbody></table>
C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">2</td> </tr> </tbody></table>
D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">7</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">9</td> </tr> </tbody></table>
Answer» C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">2</td> </tr> </tbody></table>
Discussion
11.

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">2</td> </tr> </tbody></table>
B. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">2</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">5</td> </tr> </tbody></table>
C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">8</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">15</td> </tr> </tbody></table>
D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">9</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">20</td> </tr> </tbody></table>
Answer» E.
Discussion
12.

What is the probability of getting a sum 9 from two throws of a dice?
A. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">6</td> </tr> </tbody></table>
B. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">8</td> </tr> </tbody></table>
C. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">9</td> </tr> </tbody></table>
D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">12</td> </tr> </tbody></table>
Answer» D. <table class="ga-tbl-answer" cellpadding="0" cellspacing="0"> <tbody><tr class="ga-tr-divident" align="center"> <td class="ga-td-divident">1</td> </tr> <tr class="ga-tr-divisor" align="center"> <td class="ga-td-divisor">12</td> </tr> </tbody></table>
Discussion
13.

In suffling a pack of card 3 are accidentally dropped then the chance that missing card should be of different suit is ?

A. 169/425
B. 261/425
C. 104/425
D. None of these
Answer» B. 261/425
Discussion
14.

The probability that a card drawn from a pack of 52 cards will from a pack of 52 cards will be diamond or king being to ?

A. 4/52
B. 4/13
C. 1/52
D. 2/13
Answer» C. 1/52
Discussion
15.

There are four machine and it is know that exactly two of them are faulty, They are tested. One by one in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is ?

A. 1/3
B. 1/6
C. 1/2
D. 1/4
Answer» C. 1/2
Discussion
16.

If E be the set of all integers with 1 in their unit place. The probability that a number chosen {2, 3, 4,...50} is an elements of E, is ?

A. 5/49
B. 4/49
C. 3/49
D. 2/49
Answer» C. 3/49
Discussion
17.

Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is ?

A. 3/1000
B. 3/365
C. 1/(365)
D. <sup>2</sup>
E. None of these
Answer» D. <sup>2</sup>
Discussion
18.

If the probability of machine failing during a day is 0.95. The probability of its working for four consecutive days without failing is ?

A. 0.00000625
B. 0.0625
C. 0.16548375
D. 0.000625
Answer» C. 0.16548375
Discussion
19.

Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals ?

A. 1/2
B. 7/15
C. 2/15
D. 1/3
Answer» C. 2/15
Discussion
20.

The probability of occurrence of a multiple of 2 on a dice and multiple of 3 on the other dice . If both are thrown together is ?

A. 7/26
B. 1/3
C. 71/36
D. 1/4
Answer» C. 71/36
Discussion
21.

Two number are selected randomly from the set S = {1, 2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the number is less than 4 is ?

A. 1/15
B. 14/15
C. 1/5
D. 4/5
Answer» E.
Discussion
22.

A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black ?

A. 1/3
B. 2/5
C. 1/6
D. None of these
Answer» D. None of these
Discussion
23.

A six - faced dice is so biased that is twice as likely to show an even number as an odd number when throw. It is thrown twice. The probability that the sum of two number thrown is even is ?

A. 1/12
B. 1/6
C. 1/3
D. 5/9
Answer» E.
Discussion
24.

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being king ?

A. 1/15
B. 25/57
C. 35/256
D. None of these
Answer» E.
Discussion
25.

In his wardrobe, Girdhari has 3 trousers. One of them is grey the second blue and the third brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3 are white. He opens his wardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey ?

A. 1/12
B. 1/6
C. 1/4
D. 1/2
Answer» E.
Discussion
26.

The probability of occurrence of an event A is 5/9 . The probability of non-occurrence of the event B is 5/11. The probability that at least one of them will occur ?

A. 6/11
B. 5/9
C. 4/9
D. 0.8
Answer» E.
Discussion
27.

I forgot the last digit of a 7- digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number ?

A. 1/1001
B. 1/990
C. 1/999
D. 1/1000
Answer» E.
Discussion
28.

What is the probability that a non-leap year contains 52 Tuesday only ?

A. 1/7
B. 2/7
C. 3/7
D. 6/7
Answer» E.
Discussion
29.

In a bag containing three balls, a white ball was placed and then one ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the colour of the balls that initially in the bag were equally possible ?

A. 5/8
B. 3/4
C. 1/2
D. 3/8
Answer» B. 3/4
Discussion
30.

Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target ?

A. 1/2
B. 2/3
C. 1/3
D. 5/6
Answer» C. 1/3
Discussion
31.

A card is drawn from a pack of 52 cards. A card is drawn at random. What is the probability that it is neither a heart nor a king ?

A. 4/13
B. 9/13
C. 2/13
D. 4/13
Answer» C. 2/13
Discussion
32.

Seven white balls and three black balls are randomly placed in a row, The probability that no two black balls are placed adjacently equals ?

A. 1/2
B. 7/15
C. 2/15
D. 1/3
Answer» C. 2/15
Discussion
33.

The chance of throwing a total of 3 or 5 or 11 with two dics is ?

A. 5/36
B. 1/9
C. 2/9
D. 19/36
Answer» D. 19/36
Discussion
34.

In a simultaneous throw of two dice find the probability of getting a total of 8 .

A. 2/9
B. 5/36
C. 1/6
D. Data Inadequate
Answer» C. 1/6
Discussion
35.

What is the probability that an ordinary year has 53 Sundays ?

A. 53/365
B. 1/7
C. 2/7
D. 48/53
Answer» C. 2/7
Discussion
36.

Three unbiased coins are tossed, what is the probability of getting exactly two heads ?

A. 1/3
B. 3/4
C. 2/3
D. 3/8
Answer» E.
Discussion
37.

In a simultaneous throw of two coins, the probability of getting at least one head is ?

A. 1/2
B. 2/3
C. 3/4
D. 1/3
Answer» D. 1/3
Discussion
38.

In a throw of a coin, the probability of getting a head is ?

A. 1/2
B. 1/4
C. 1
D. None of these
Answer» B. 1/4
Discussion
39.

The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is ?

A. 1/2
B. 1/12
C. 7/12
D. 3/4
Answer» B. 1/12
Discussion
40.

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?

A. 6/13
B. 1/2
C. 7/13
D. 27/52
Answer» D. 27/52
Discussion
41.

What if the probability of getting a king or a queen in a single drawn from a pack of 52 cards ?

A. 1/26
B. 1/13
C. 2/13
D. None of these
Answer» D. None of these
Discussion
42.

The probability that a teacher will give one surprise test during any class meeting in a week is 1/5. If a student is absent twice. What is the probability that he will miss at least one test ?

A. 4/15
B. 1/15
C. 91/25
D. 16/125
Answer» C. 91/25
Discussion
43.

A coin is successively tossed two times. Find the probability of getting ? (1) exactly one head (2)at least one head

A. 1/2 , 3/4
B. 2/3, 1/4
C. 1/4, 4/5
D. 1/2, 2/3
Answer» B. 2/3, 1/4
Discussion
44.

When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is ?

A. 7/18
B. 3/11
C. 5/18
D. 1/2
Answer» B. 3/11
Discussion
45.

From a set of 17 cards numbered 1, 2, 3 ....... 17 one is drawn at random. The probability that the number is divisible by 3 or 7 is ?

A. 2/17
B. 1/7
C. 7/17
D. 10/ 17
Answer» D. 10/ 17
Discussion
46.

n books are to be arranged on a self. These include m volumes of a science book (m < n). The probability that in any arrangement, the volumes of science books are in ascending order is ?

A. 1/ n!
B. 1/n-m!
C. 1/m!
D. m!/n!
Answer» D. m!/n!
Discussion
47.

A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability drawing a number which is a square is ?

A. 1/5
B. 2/5
C. 1/10
D. None of these
Answer» D. None of these
Discussion
48.

The number of tosses that have to be made in order that there is 99% probability of getting at least one head is ?

A. 5
B. 7
C. 6
D. 8
Answer» C. 6
Discussion
49.

If an integer is selected at random from 1 to 100. The probability that it relatively prime to 100 is ?

A. 2/5
B. 61/100
C. 17/100
D. 19/100
Answer» B. 61/100
Discussion
50.

A brother and sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5th and that of the sister's selections is 1/3rd. What is the probability that one of them is selected ?

A. 1/5
B. 2/5
C. 1/3
D. 2/3
Answer» C. 1/3
Discussion