MCQOPTIONS
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MCQOPTIONS
This section includes 123 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
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. | 41334 |
| B. | 41275 |
| C. | 19054 |
| D. | 19238 |
| Answer» B. 41275 | |
| 52. |
Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ? |
| A. | 1 |
| B. | |
| C. | |
| D. | |
| Answer» C. | |
| 53. |
In the usual set notation, A ∪ (B ∩ C) =_x005F_x000D_  _x005F_x000D_ |
| A. | A∪B∪A∪C |
| B. | A∩B∪A∩C |
| C. | A∪B∩A∪C |
| D. | A∪B∩A∩C |
| Answer» D. A∪B∩A∩C | |
| 54. |
In a throw of a coin, find the probability of getting a head. |
| A. | 1 |
| B. | 44228 |
| C. | 44287 |
| D. | 0.1 |
| Answer» C. 44287 | |
| 55. |
In a single throw with 2 dices, what is probability of neither getting an even number on one and nor a multiple of 3 on other? |
| A. | 13455 |
| B. | 25/36 |
| C. | 44352 |
| D. | 44348 |
| Answer» C. 44352 | |
| 56. |
In a simultaneous throw of two dice, what is the probability of getting a doublet ? |
| A. | 44348 |
| B. | 44256 |
| C. | 44381 |
| D. | 44320 |
| Answer» B. 44256 | |
| 57. |
In a simultaneous throw of pair of dice. Find the probability of getting the total more than 7. |
| A. | 44228 |
| B. | 44535 |
| C. | 42186 |
| D. | 44533 |
| Answer» C. 42186 | |
| 58. |
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ? |
| A. | 44383 |
| B. | 19/21 |
| C. | 11505 |
| D. | 44317 |
| Answer» E. | |
| 59. |
_x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_ In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?_x005F_x000D_ _x005F_x000D_ _x005F_x000D_ _x005F_x000D_ |
| A. | 44378 |
| B. | 44379 |
| C. | 44380 |
| D. | 44318 |
| Answer» C. 44380 | |
| 60. |
In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ? |
| A. | 44228 |
| B. | 44289 |
| C. | 44320 |
| D. | 44318 |
| Answer» E. | |
| 61. |
In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? |
| A. | 15 |
| B. | 18 |
| C. | 20 |
| D. | 24 |
| Answer» D. 24 | |
| 62. |
In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag. |
| A. | 16 |
| B. | 12 |
| C. | 10 |
| D. | 14 |
| Answer» C. 10 | |
| 63. |
If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels? |
| A. | 44348 |
| B. | 44228 |
| C. | 44256 |
| D. | 44287 |
| Answer» B. 44228 | |
| 64. |
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is  ? |
| A. | 1 |
| B. | 44228 |
| C. | 0 |
| D. | 44319 |
| Answer» C. 0 | |
| 65. |
If the standard deviation of a population is 7, what would be the population variance? |
| A. | 14 |
| B. | 21 |
| C. | 49 |
| D. | 28 |
| Answer» D. 28 | |
| 66. |
If the standard deviation of a population is 6.5, what would be the population variance? |
| A. | 40.25 |
| B. | 42.25 |
| C. | 18.25 |
| D. | 13 |
| Answer» C. 18.25 | |
| 67. |
If the standard deviation of a population is 4.5, what would be the population variance? |
| A. | 20.25 |
| B. | 20 |
| C. | 9 |
| D. | 18 |
| Answer» B. 20 | |
| 68. |
If the standard deviation of 0, 1, 2, 3 ......... 9 is K, then the standard deviation of 10, 11, 12, 13 ........... 19 will be:_x005F_x000D_ |
| A. | K+1 |
| B. | K |
| C. | K+4 |
| D. | K+8 |
| Answer» C. K+4 | |
| 69. |
If the standard deviation of a population is 3, what would be the population variance?_x005F_x000D_ |
| A. | 9 |
| B. | 6 |
| C. | 8 |
| D. | 15 |
| Answer» B. 6 | |
| 70. |
If the standard deviation of a population is 10, what would be the population variance? |
| A. | 100 |
| B. | 30 |
| C. | 5 |
| D. | 20 |
| Answer» B. 30 | |
| 71. |
If the difference between the mode and median is 2, then the difference between the median and mean is: |
| A. | 2 |
| B. | 1 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 72. |
If P(A)=4/9;then the odd against the event A is: |
| A. | 0.17291666666667 |
| B. | 0.17013888888889 |
| C. | 0.21111111111111 |
| D. | 0.17638888888889 |
| Answer» D. 0.17638888888889 | |
| 73. |
If p:q are the odds in favour of an event,then the probability of that event is: |
| A. | p/q |
| B. | p/(p+q) |
| C. | q/(p+q) |
| D. | none |
| Answer» C. q/(p+q) | |
| 74. |
If a card is drawn at random from a pack of 52 cards,what is the chance of getting a spade or ace? |
| A. | 0.25 |
| B. | 41395 |
| C. | 0.2 |
| D. | 41365 |
| Answer» E. | |
| 75. |
If an unbiased dice is rolled once, the odds in favour of getting a point which is multiple of 3 is: |
| A. | 44228 |
| B. | 44198 |
| C. | 44256 |
| D. | 44199 |
| Answer» D. 44199 | |
| 76. |
I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number? |
| A. | 1/999 |
| B. | 1/1001 |
| C. | 1/1000 |
| D. | 4/1000 |
| Answer» D. 4/1000 | |
| 77. |
From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card? |
| A. | 44228 |
| B. | 44289 |
| C. | 1 |
| D. | 44256 |
| Answer» D. 44256 | |
| 78. |
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings? |
| A. | 42005 |
| B. | 1/221 |
| C. | 25/57 |
| D. | 35/256 |
| Answer» C. 25/57 | |
| 79. |
Four persons are to be choosen from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man,1 woman and 2 children. |
| A. | 44379 |
| B. | 44380 |
| C. | 44381 |
| D. | 44380 |
| Answer» B. 44380 | |
| 80. |
Four dice are thrown simultaneously. Find the probability that all of them show the same face. |
| A. | 1/216 |
| B. | 13150 |
| C. | 2/216 |
| D. | 4/216 |
| Answer» B. 13150 | |
| 81. |
Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls. |
| A. | 18/95 |
| B. | 18/190 |
| C. | 44228 |
| D. | 91/190 |
| Answer» E. | |
| 82. |
Find the standard deviation of {11, 7, 10,13, 9} |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 83. |
Find the range of the data 2, 1, 2, 3, 5, 4, 7, 3, 5, 2, 4. |
| A. | 5 |
| B. | 4 |
| C. | 3 |
| D. | 6 |
| Answer» E. | |
| 84. |
Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18 |
| A. | 12 and 18 |
| B. | 13 and 18 |
| C. | 12 and 17 |
| D. | 11 and 17 |
| Answer» C. 12 and 17 | |
| 85. |
Find the probability of selecting 2 woman when four persons are choosen at random from a group of 3 men, 2 woman and 4 children. |
| A. | 44317 |
| B. | 44378 |
| C. | 44348 |
| D. | 44440 |
| Answer» D. 44440 | |
| 86. |
Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls |
| A. | 0.5 |
| B. | 0.75 |
| C. | 0.25 |
| D. | 0.8 |
| Answer» C. 0.25 | |
| 87. |
Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children. |
| A. | 47362 |
| B. | 44470 |
| C. | 44531 |
| D. | 14/19 |
| Answer» C. 44531 | |
| 88. |
fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? |
| A. | 33298 |
| B. | 26696 |
| C. | 33239 |
| D. | 26724 |
| Answer» B. 26696 | |
| 89. |
An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls. |
| A. | 5/204 |
| B. | 1/204 |
| C. | 13/204 |
| D. | None of these |
| Answer» C. 13/204 | |
| 90. |
Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? |
| A. | [1, 32] |
| B. | (0, 1) |
| C. | [1, 1/2] |
| D. | (1, 1/2] |
| Answer» D. (1, 1/2] | |
| 91. |
An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4? |
| A. | 44531 |
| B. | 44440 |
| C. | 44289 |
| D. | 44228 |
| Answer» E. | |
| 92. |
An unbiased die is tossed.Find the probability of getting a multiple of 3. |
| A. | 44256 |
| B. | 44228 |
| C. | 44289 |
| D. | 44230 |
| Answer» B. 44228 | |
| 93. |
A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ? |
| A. | 13/42 |
| B. | 17/42 |
| C. | 15462 |
| D. | 41699 |
| Answer» C. 15462 | |
| 94. |
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident |
| A. | 30/100 |
| B. | 35/100 |
| C. | 45/100 |
| D. | 50/100 |
| Answer» C. 45/100 | |
| 95. |
A table tennis player, lost 12 games out of 18 games played. Calculate the games won in terms of decimal. |
| A. | 0.667 |
| B. | 0.067 |
| C. | 0.5 |
| D. | 0.333 |
| Answer» E. | |
| 96. |
A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: |
| A. | A gain of Rs. 27 |
| B. | A loss of Rs. 37 |
| C. | A loss of Rs. 27 |
| D. | A gain of Rs. 37 |
| Answer» C. A loss of Rs. 27 | |
| 97. |
A six-sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls? |
| A. | 215/216 |
| B. | 1/216 |
| C. | 215/256 |
| D. | 18994 |
| Answer» B. 1/216 | |
| 98. |
A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is_x005F_x000D_ |
| A. | axn2+1 |
| B. | axn2-1 |
| C. | axn-1 |
| D. | axn2 |
| Answer» E. | |
| 99. |
A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that |X| |
| A. | 44380 |
| B. | 44289 |
| C. | 44320 |
| D. | 44382 |
| Answer» B. 44289 | |
| 100. |
A letter is takenout at random from 'ASSISTANT' Â and another is taken out from 'STATISTICS'. The probability that they are the same letter is : |
| A. | 35/96 |
| B. | 19/90 |
| C. | 19/96 |
| D. | None of these |
| Answer» C. 19/96 | |