MCQOPTIONS
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MCQOPTIONS
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.
| 51. |
A fair coin is tossed 100 times, The probability of getting head an odd number of times is ? |
| A. | 1/4 |
| B. | 2/3 |
| C. | 1/2 |
| D. | 3/4 |
| Answer» D. 3/4 | |
| 52. |
Out of 15 students studying in a class, 7 are from Maharastra, 5 are from Karnataka and 3 are from Goa, Four students are to be selected at random. What are the chances that at least one is from Karnataka ? |
| A. | 12/13 |
| B. | 11/13 |
| C. | 10/15 |
| D. | 1/15 |
| Answer» C. 10/15 | |
| 53. |
In a box carrying one dozen of oranges, one third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one oranges out of the three oranges picked up is good ? |
| A. | 1/55 |
| B. | 54/55 |
| C. | 45/55 |
| D. | 3/55 |
| Answer» C. 45/55 | |
| 54. |
A bag contains 8 red and 5 white balls. 2 balls are drawn at random. What is the probability that both are white ? |
| A. | 5/16 |
| B. | 2/13 |
| C. | 3/26 |
| D. | 5/39 |
| Answer» E. | |
| 55. |
A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white ? |
| A. | 4/7 |
| B. | 3/4 |
| C. | 4/5 |
| D. | 1/8 |
| Answer» B. 3/4 | |
| 56. |
Three unbiased coins are tossed. What is the probability of getting at most 2 heads ? |
| A. | 1/4 |
| B. | 3/8 |
| C. | 7/8 |
| D. | 1/2 |
| Answer» D. 1/2 | |
| 57. |
If two caps are picked at random, what is the probability that both are blue? |
| A. | 1/6 |
| B. | 1/10 |
| C. | 1/12 |
| D. | None of these |
| Answer» E. | |
| 58. |
If four caps are picked at random, what is the probability that none is green ? |
| A. | 7/99 |
| B. | 5/99 |
| C. | 7/12 |
| D. | 5/12 |
| Answer» B. 5/99 | |
| 59. |
If three caps are picked at random, what is the probability that two are red and one is green ? |
| A. | 9/22 |
| B. | 6/19 |
| C. | 1/6 |
| D. | 3/22 |
| Answer» E. | |
| 60. |
If two caps are picked at random, what is the probability that atleast one is red ? |
| A. | 1/3 |
| B. | 16/21 |
| C. | 19/33 |
| D. | 7/19 |
| Answer» D. 7/19 | |
| 61. |
If two marbles are picked at random, what is the probability that both marbles are red ? |
| A. | 1/6 |
| B. | 1/3 |
| C. | 2/15 |
| D. | None of the above |
| Answer» E. | |
| 62. |
If three marbles are picked at random, what is the probability that two are blue and one is yellow ? |
| A. | 3/91 |
| B. | 1/5 |
| C. | 18/455 |
| D. | 7/15 |
| Answer» D. 7/15 | |
| 63. |
If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is |
| A. | 1/8 |
| B. | 2/8 |
| C. | 3/8 |
| D. | 4/8 |
| Answer» D. 4/8 | |
| 64. |
Let E be the set of all integers with 1 at their unit places. The probability that a number chosen from {2, 3, 4, ............, 50} is an element of E, is ? |
| A. | 5/49 |
| B. | 4/49 |
| C. | 3/49 |
| D. | 2/49 |
| Answer» C. 3/49 | |
| 65. |
A number is selected at random from the set {1, 2, 3, ........, 50}. The probability that it is a prime, is |
| A. | 0.1 |
| B. | 0.2 |
| C. | 0.3 |
| D. | 0.3 |
| Answer» D. 0.3 | |
| 66. |
A committee of 3 members is to be selected to be selected out of 3 man and 2 women . What is the probability that the committee has at least one women ? |
| A. | 1/10 |
| B. | 9/20 |
| C. | 9/10 |
| D. | 1/20 |
| Answer» D. 1/20 | |
| 67. |
An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two are green and one is red ? |
| A. | 3/7 |
| B. | 18/35 |
| C. | 5/14 |
| D. | 4/21 |
| Answer» C. 5/14 | |
| 68. |
Two packs of card are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jack ? |
| A. | 1/13 |
| B. | 2/13 |
| C. | 7/1339 |
| D. | 1/169 |
| Answer» D. 1/169 | |
| 69. |
If one rolls a fair sides die twice, what is the probability that the die will land on the same number on both the occasions ? |
| A. | 1/12 |
| B. | 1/6 |
| C. | 1/24 |
| D. | 1/8 |
| Answer» C. 1/24 | |
| 70. |
One hundred identical coins each with probability p of showing up head are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equals to that of heads on 51 coins. Then the value of p, is ? |
| A. | 1/2 |
| B. | 49/101 |
| C. | 50/101 |
| D. | 51/101 |
| Answer» E. | |
| 71. |
What is the probability that a card drawn at random from a pack of 52 cards is either a king or a spade? |
| A. | 17/52 |
| B. | 4/13 |
| C. | 3/13 |
| D. | 13/52 |
| Answer» C. 3/13 | |
| 72. |
A card is drawn from a well-shuffled pack of cards. The probability of getting a queen of club or a king of heart is ? |
| A. | 1/52 |
| B. | 1/26 |
| C. | 1/13 |
| D. | 1/39 |
| Answer» C. 1/13 | |
| 73. |
Four whole number taken at random are multiplied together. The chance that the last digit in the product is 1, 3, 7, or 9 is ? |
| A. | 16/625 |
| B. | 1/210 |
| C. | 8/125 |
| D. | 4/25 |
| Answer» B. 1/210 | |
| 74. |
Number 1 to 25 are marked on tokens of equals size one on each. A token is drawn at random. Find the probability of getting a number divisible by both 2 and 3? |
| A. | 4/25 |
| B. | 7/25 |
| C. | 2/25 |
| D. | 9/25 |
| Answer» B. 7/25 | |
| 75. |
A complete cycle of a traffic light takes 60 s. During each cycle the light is green for 25 s, yellow for 5 s and red for 30 s. At a randomly chosen time, the probability that the light will not be green is ? |
| A. | 1/3 |
| B. | 1/4 |
| C. | 5/12 |
| D. | 7/12 |
| Answer» E. | |
| 76. |
The probability that a man will live 10 more year is 1/4 and the probability that his wife will live 10 more year is 1/3. Then, the probability that none of them will be alive after 10 yr, is ? |
| A. | 5/12 |
| B. | 1/2 |
| C. | 7/12 |
| D. | 11/12 |
| Answer» C. 7/12 | |
| 77. |
All the boys are sitting together. |
| A. | 3/42 |
| B. | 41/42 |
| C. | 3/35 |
| D. | 1/42 |
| E. | None of the above |
| Answer» E. None of the above | |
| 78. |
If one cap is picked at random, what is the probability that it is either blue or yellow? |
| A. | 2/9 |
| B. | 1/4 |
| C. | 3/8 |
| D. | 6/11 |
| Answer» C. 3/8 | |
| 79. |
If three marbles are picked at random, what is the probability that either all are green or all are red ? |
| A. | 7/44 |
| B. | 7/12 |
| C. | 5/12 |
| D. | 1/44 |
| E. | None of the above |
| Answer» E. None of the above | |
| 80. |
All the girls are not sitting together? |
| A. | 41/42 |
| B. | 39/42 |
| C. | 31/42 |
| D. | 31/35 |
| E. | None of the above |
| Answer» B. 39/42 | |
| 81. |
All the boys are not sitting together? |
| A. | 3/35 |
| B. | 43/49 |
| C. | 41/42 |
| D. | 1/42 |
| E. | None of the above |
| Answer» D. 1/42 | |
| 82. |
All the girls are sitting together. |
| A. | 1/42 |
| B. | 41/42 |
| C. | 3/35 |
| D. | 1/42 |
| E. | None of the above |
| Answer» B. 41/42 | |
| 83. |
If two marbles are drawn at random, what is the probability that both are red ? |
| A. | 3/7 |
| B. | 1/2 |
| C. | 2/11 |
| D. | None of the these |
| Answer» E. | |
| 84. |
If four marbles are picked at random, what is the probability that at least one is blue ? |
| A. | 4/15 |
| B. | 69/91 |
| C. | 11/15 |
| D. | 22/91 |
| Answer» E. | |
| 85. |
If two marbles are picked at random, what is the probability that either both are green or both are yellow ? |
| A. | 5/91 |
| B. | 1/35 |
| C. | 1/3 |
| D. | 4/105 |
| Answer» E. | |
| 86. |
when three coins are tossed together the probability that all coins have the same face up, is ? |
| A. | 1/3 |
| B. | 1/6 |
| C. | 1/8 |
| D. | 1/12 |
| Answer» D. 1/12 | |
| 87. |
An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it ,The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2, and 0.1 respectively. What is the probability that the plane is hit when all the four shots are fired? |
| A. | 0.4379 |
| B. | 0.6872 |
| C. | 0.6976 |
| D. | 0.3507 |
| E. | None of the above |
| Answer» D. 0.3507 | |
| 88. |
In a ward-robe, Nitish has 3 trousers. One of them is black, second is blue and third brown. In this ward-robe, he has 4 shirts also. One of them is black and the other 3 are white. He opens his ward-robe in the dark and picks out one shirt-trouser pair without examining the colour. What is the likelihood that neither the shirts nor the trousers are black ? |
| A. | 1/12 |
| B. | 1/6 |
| C. | 1/4 |
| D. | 1/2 |
| E. | None of the above |
| Answer» E. None of the above | |
| 89. |
Four boys and three girl stand in queue for an interview. The probability that they stand in alternate position is |
| A. | 1/34 |
| B. | 1/35 |
| C. | 1/17 |
| D. | 1/68 |
| E. | None of the above |
| Answer» C. 1/17 | |
| 90. |
An elevator starts with 5 passengers and stops at 8 different floors if the house. Find out the probability of all the 5 passengers alighting at different floors. |
| A. | 101/512 |
| B. | 105/512 |
| C. | 107/512 |
| D. | 109/512 |
| E. | None of the above |
| Answer» C. 107/512 | |
| 91. |
A box contains 3 white and 2 red balls. If we draw one ball and ball and without replacing the first ball. The probability of drawing red ball in the second drawn is ? |
| A. | 8/25 |
| B. | 2/5 |
| C. | 3/5 |
| D. | 21/25 |
| Answer» C. 3/5 | |
| 92. |
Three mangoes and three apples are kept in a box. if two fruits are chosen at random. find the probability that one is a mango and the other is an apple. |
| A. | 2/3 |
| B. | 3/5 |
| C. | 1/3 |
| D. | 1/5 |
| E. | None of the above |
| Answer» C. 1/3 | |
| 93. |
If the probability for A fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is ? |
| A. | 0.38 |
| B. | 0.44 |
| C. | 0.50 |
| D. | 0.94 |
| Answer» C. 0.50 | |
| 94. |
The probability that a man will be alive for 10 more years is 1/4 and the probability that his wife will alive for 10 more years is 1/3 .The probability that none of them will be alive for 10 more years, is |
| A. | 5/12 |
| B. | 1/2 |
| C. | 7/12 |
| D. | 11/12 |
| E. | None of the above |
| Answer» C. 7/12 | |
| 95. |
In a lottery 10000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket ? |
| A. | 9/10000 |
| B. | 9/10 |
| C. | 999/100 |
| D. | 9999/10000 |
| Answer» D. 9999/10000 | |
| 96. |
Tow persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/3 and 1/6 respectively, then the probability that none of them is selected, is |
| A. | 5/8 |
| B. | 5/12 |
| C. | 1/12 |
| D. | 1/24 |
| E. | None of the above |
| Answer» B. 5/12 | |
| 97. |
A fair coin is tossed 100 times . The probability of getting tails an odd number of times is ? |
| A. | 1/2 |
| B. | 1/8 |
| C. | 3/8 |
| D. | None of these |
| Answer» B. 1/8 | |
| 98. |
A natural number is selected at random from the set x = { x : 1 x 100 }. The probability that the number satisfies the inequality x |
| A. | 5/9 |
| B. | 9/50 |
| C. | 3/20 |
| D. | 7/9 |
| Answer» D. 7/9 | |
| 99. |
If three balls are picked at random, what is the probability that atleast one is red ? |
| A. | 1/2 |
| B. | 7/12 |
| C. | 11/12 |
| D. | 1/5 |
| Answer» D. 1/5 | |
| 100. |
If four balls are picked at random, what is the probability that two are green and two are blue ? |
| A. | 1/18 |
| B. | 1/70 |
| C. | 3/5 |
| D. | 1/2 |
| E. | None of the above |
| Answer» C. 3/5 | |