MCQOPTIONS
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MCQOPTIONS
This section includes 258 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. |
If 9P5 + 5. 9P4 = 10Pr, then the value of r is |
| A. | 2 |
| B. | 3 |
| C. | 5 |
| D. | 7 |
| Answer» D. 7 | |
| 52. |
If C(20, n + 2) = C(20, n - 2), then what is n equal to? |
| A. | 18 |
| B. | 25 |
| C. | 10 |
| D. | 12 |
| Answer» D. 12 | |
| 53. |
If \(\rm \begin{pmatrix} 15\\ 8\end{pmatrix}+\begin{pmatrix} 15\\ 7\end{pmatrix}=\begin{pmatrix} \rm n\\ \rm r\end{pmatrix}\), then the values of n and r are:Where, \(\begin{pmatrix} \rm n\\ \rm r\end{pmatrix} \)= nCr |
| A. | 16 and 7. |
| B. | 16 and 8. |
| C. | 16 and 9. |
| D. | 30 and 15. |
| Answer» C. 16 and 9. | |
| 54. |
Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A containing two or three elements is |
| A. | 45 |
| B. | 120 |
| C. | 165 |
| D. | 330 |
| Answer» D. 330 | |
| 55. |
If C(28, 2r) = C(28, 2r - 4), then what is r equal to? |
| A. | 7 |
| B. | 8 |
| C. | 12 |
| D. | 16 |
| Answer» C. 12 | |
| 56. |
How many different permutations can be made out of the letters of the word ‘PERMUTATION’? |
| A. | \(\frac{{11!}}{{2!}}\) |
| B. | \(\frac{{10!}}{{2!}}\) |
| C. | \(\frac{{11!}}{{3!}}\) |
| D. | \(\frac{{10!}}{{3!}}\) |
| Answer» B. \(\frac{{10!}}{{2!}}\) | |
| 57. |
If \(\mathop \sum \limits_{i = 1}^{20} {\left( {\frac{{{}_\;^{20}{C_{i - 1}}}}{{{}_\;^{20}{C_i} + {}_\;^{20}{C_{i - 1}}}}} \right)^3} = \frac{k}{{21}}\), then ‘k’ is equal to: |
| A. | 400 |
| B. | 50 |
| C. | 200 |
| D. | 100 |
| Answer» E. | |
| 58. |
How many 4 - digit numbers that 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? |
| A. | 216 |
| B. | 60 |
| C. | 24 |
| D. | 25 |
| Answer» C. 24 | |
| 59. |
A password consists of two alphabets from English followed by three numbers chosen from 0 to 3. If repetitions are allowed, the number of different passwords is: |
| A. | 26P1 × 26P2 × 4P1 × 3P1 × 2P1 |
| B. | (26P1)2 × (4P1)3 |
| C. | 26P1 × 26P2 × 4P1 × 4P2 × 4P3 |
| D. | (26P1 × 4P1)2 |
| Answer» C. 26P1 × 26P2 × 4P1 × 4P2 × 4P3 | |
| 60. |
When six fairs coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads ? |
| A. | 15 |
| B. | 42 |
| C. | 16 |
| D. | 40 |
| Answer» C. 16 | |
| 61. |
When John arrives in New York,he has eight stops to see, but he has time only to visit six of them.In how many different ways can he arrange his schedule in New York? |
| A. | 20610 |
| B. | 24000 |
| C. | 20160 |
| D. | 21000 |
| Answer» D. 21000 | |
| 62. |
What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each? |
| A. | 2856 |
| B. | 3969 |
| C. | 480 |
| D. | None of these |
| Answer» C. 480 | |
| 63. |
When Dr. Ram arrives in his dispensary, he finds 12 patients waiting to see him. If he can see only one patients at a time,find the number of ways, he can schedule his patients if 3 leave in disgust before Dr. Ram gets around to seeing them. |
| A. | 479001600 |
| B. | 79833600 |
| C. | 34879012 |
| D. | 67800983 |
| Answer» C. 34879012 | |
| 64. |
When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3? |
| A. | 620 |
| B. | 671 |
| C. | 625 |
| D. | 567 |
| Answer» C. 625 | |
| 65. |
What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ? |
| A. | 28450 |
| B. | 26340 |
| C. | 32640 |
| D. | 36450 |
| Answer» D. 36450 | |
| 66. |
Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is |
| A. | 1,00,000 |
| B. | 59049 |
| C. | 3439 |
| D. | 6561 |
| Answer» D. 6561 | |
| 67. |
To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? |
| A. | 7920 |
| B. | 74841 |
| C. | 14874 |
| D. | 10213 |
| Answer» B. 74841 | |
| 68. |
There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? |
| A. | 105 |
| B. | 7! x 6! |
| C. | 7!/5! |
| D. | 420 |
| Answer» B. 7! x 6! | |
| 69. |
There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two seniors, how many different groupings are possible ? |
| A. | 23024 |
| B. | 24023 |
| C. | 23023 |
| D. | 25690 |
| Answer» D. 25690 | |
| 70. |
There are five cards lying on the table in one row. Five numbers from among 1 to 100 have to be written on them, one number per card, such that the difference between the numbers on any two adjacent cards is not divisible by 4. The remainder when each of the 5 numbers is divided by 4 is written down on another card (the 6th card) in order. How many sequences can be written down on the 6th card ? |
| A. | 4 x 3^4 |
| B. | 3^4 |
| C. | 4^3 |
| D. | 3 x 4^3 |
| Answer» B. 3^4 | |
| 71. |
There are 7 non-collinear points. How many triangles can be drawn by joining these points? |
| A. | 10 |
| B. | 30 |
| C. | 35 |
| D. | 60 |
| Answer» D. 60 | |
| 72. |
There are 6 bowlers and 9 batsmen in a cricket club. In how many ways can a team of 11 be selected so that the team contains at least 4 bowlers? |
| A. | 1170 |
| B. | 1200 |
| C. | 720 |
| D. | 360 |
| Answer» B. 1200 | |
| 73. |
There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ? |
| A. | 1200 |
| B. | 1240 |
| C. | 1260 |
| D. | 1620 |
| Answer» D. 1620 | |
| 74. |
There are 5 novels and 4 biographies. In how many ways can 4 novels and 2Â biographies can be arranged on a shelf ? |
| A. | 26100 |
| B. | 21600 |
| C. | 24000 |
| D. | 36000 |
| Answer» C. 24000 | |
| 75. |
There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each? |
| A. | 1112 |
| B. | 2304 |
| C. | 1224 |
| D. | 2426 |
| Answer» C. 1224 | |
| 76. |
There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ? |
| A. | 49450 |
| B. | 50540 |
| C. | 46587 |
| D. | 52487 |
| Answer» C. 46587 | |
| 77. |
There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ? |
| A. | 1000 |
| B. | 625 |
| C. | 525 |
| D. | 125 |
| Answer» E. | |
| 78. |
There are 4 books on fairy tales, 5 novels and 3 plays. In how many ways can you arrange these so that books on fairy tales are together, novels are together and plays are together and in the order, books on fairytales, novels and plays ? |
| A. | 12400 |
| B. | 17820 |
| C. | 17280 |
| D. | 12460 |
| Answer» D. 12460 | |
| 79. |
There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? |
| A. | 23 |
| B. | 432 |
| C. | 22 |
| D. | 431 |
| Answer» B. 432 | |
| 80. |
There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers? |
| A. | 18! x 19! |
| B. | 2 x 19! |
| C. | 2 x 18! |
| D. | 18! x 18! |
| Answer» D. 18! x 18! | |
| 81. |
There are 11 True or False questions. How many ways can these be answered ? |
| A. | 11!/2 |
| B. | 1024 |
| C. | 11! |
| D. | 2048 |
| Answer» E. | |
| 82. |
The number of ways that 8 beads of different colours be strung as a necklace is |
| A. | 2520 |
| B. | 2880 |
| C. | 4320 |
| D. | 5040 |
| Answer» B. 2880 | |
| 83. |
The ratio of the members of blue to red balls in abag is constant. When there were 44 red balls, the number of blue balls was 36. If the number of blue balls is 54, how many red balls will be in the bag? |
| A. | 68 |
| B. | 32 |
| C. | 64 |
| D. | 66 |
| Answer» E. | |
| 84. |
The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is |
| A. | 7! x 7! |
| B. | 7! x 6! |
| C. | 6! x 6! |
| D. | 7! x 5! |
| Answer» C. 6! x 6! | |
| 85. |
The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ? |
| A. | 2(6!) |
| B. | 6! x 7 |
| C. | 6! x â·P₆ |
| D. | None |
| Answer» D. None | |
| 86. |
The number of ways in which 8 distinct toys can be distributed among 5 children? |
| A. | 5P8 |
| B. | 5^8 |
| C. | 8P5 |
| D. | 8^5 |
| Answer» C. 8P5 | |
| 87. |
The Number of times the digit 8 will be written when listing the integers from 1 to 1000 is : |
| A. | 100 |
| B. | 200 |
| C. | 300 |
| D. | 400 |
| Answer» D. 400 | |
| 88. |
The number of signals that can be generated by using 5 differently coloured flags, when any number of them may be hoisted at a time is: |
| A. | 235 |
| B. | 253 |
| C. | 325 |
| D. | None of these |
| Answer» D. None of these | |
| 89. |
The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ? |
| A. | 2580 |
| B. | 3687 |
| C. | 4320 |
| D. | 5460 |
| Answer» D. 5460 | |
| 90. |
The number of permutations of the letters of the word 'MESMERISE' is  ? |
| A. | 9!/(2!)^{2}x3! |
| B. | 9! x 2! x 3! |
| C. | 0 |
| D. | None |
| Answer» B. 9! x 2! x 3! | |
| 91. |
The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? |
| A. | 4320 |
| B. | 4694 |
| C. | 4957 |
| D. | 4871 |
| Answer» B. 4694 | |
| 92. |
The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and atleast 4 bowlers? |
| A. | 1024 |
| B. | 1900 |
| C. | 2000 |
| D. | 1092 |
| Answer» E. | |
| 93. |
Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it? |
| A. | 360 |
| B. | 780 |
| C. | 720 |
| D. | 240 |
| Answer» D. 240 | |
| 94. |
Suppose you can travel from a place A to a place B by 3 buses, from place BÂ to place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3Â buses. In how many ways can you travel ?from A to E? |
| A. | 36 |
| B. | 64 |
| C. | 74 |
| D. | 72 |
| Answer» E. | |
| 95. |
Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ? |
| A. | 28 |
| B. | 56 |
| C. | 44 |
| D. | 36 |
| Answer» E. | |
| 96. |
Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds? |
| A. | 2400 |
| B. | 6400 |
| C. | 3600 |
| D. | 7200 |
| Answer» D. 7200 | |
| 97. |
Out of seven consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ? |
| A. | 25200 |
| B. | 25000 |
| C. | 25225 |
| D. | 24752 |
| Answer» B. 25000 | |
| 98. |
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? |
| A. | 25200 |
| B. | 52000 |
| C. | 120 |
| D. | 24400 |
| Answer» B. 52000 | |
| 99. |
Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ? |
| A. | 42 |
| B. | 34 |
| C. | 31 |
| D. | 22 |
| Answer» C. 31 | |
| 100. |
Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? |
| A. | 43929 |
| B. | 59049 |
| C. | 15120 |
| D. | 0 |
| Answer» B. 59049 | |