MCQOPTIONS
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MCQOPTIONS
This section includes 109 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Vowels being never together. |
| A. | 36 ways |
| B. | 84 ways |
| C. | 120 ways |
| D. | 10 ways |
| E. | None of the above |
| Answer» C. 120 ways | |
| 52. |
2 Men and 1 women board a bus in which 5 seats are vacant, one of these 5 seats is reserved for ladies. A women may or may not sit on the seat reserved for ladies . In how many different ways can the five seats be occupied by these passengers ? |
| A. | 15 |
| B. | 36 |
| C. | 48 |
| D. | 60 |
| Answer» C. 48 | |
| 53. |
There are 10 questions in a question paper. In how many ways, a student can solve there questions, if he solves one or more question ? |
| A. | 1024 |
| B. | 1025 |
| C. | 1023 |
| D. | 1000 |
| E. | None of the above |
| Answer» D. 1000 | |
| 54. |
139 person have signed for an elimination tournament. All players are to be paired up for the first round but because 139 is an odd number one player gets a bye, which promotes him to the second round without actually playing in the first round. The pairing continues on the next round with a bye to any player left over. If the schedule is planned, so that a minimum number of matches is required to determine the champion, the number of matches which must be played is ? |
| A. | 136 |
| B. | 137 |
| C. | 138 |
| D. | 139 |
| Answer» D. 139 | |
| 55. |
O and A occupying end places. |
| A. | 12 |
| B. | 14 |
| C. | 20 |
| D. | 18 |
| E. | None of the above |
| Answer» B. 14 | |
| 56. |
E being always in the middle. |
| A. | 18 ways |
| B. | 24 ways |
| C. | 48 ways |
| D. | 20 ways |
| E. | None of the above |
| Answer» C. 48 ways | |
| 57. |
Vowels occupying odd places . |
| A. | 12 ways |
| B. | 16 ways |
| C. | 6 ways |
| D. | 20 ways |
| E. | None of the above |
| Answer» B. 16 ways | |
| 58. |
If there are 10 positive real numbers n |
| A. | 45 |
| B. | 90 |
| C. | 120 |
| D. | 180 |
| Answer» D. 180 | |
| 59. |
How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter ? |
| A. | 990 |
| B. | 2730 |
| C. | 12870 |
| D. | 1560000 |
| Answer» D. 1560000 | |
| 60. |
A man has 5 friends and his wife has 4 friends. They want to invite either of their friends, one or more to a party. In how many ways can they do so ? |
| A. | 9 |
| B. | 18 |
| C. | 31 |
| D. | 46 |
| Answer» E. | |
| 61. |
A question paper had 10 questions. Each question could only be answered as True (T) or false (F). Each candidate answered all the questions. Yet, no two candidate wrote the answers in an identical sequence. How many different sequences of answers are possible ? |
| A. | 20 |
| B. | 40 |
| C. | 512 |
| D. | 1024 |
| Answer» E. | |
| 62. |
Groups, each containing 3 boys are to be formed out of 5 boys, A, B , C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups ? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» D. 8 | |
| 63. |
How many different letter arrangements can be made from the letter of the word RECOVER ? |
| A. | 1210 |
| B. | 5040 |
| C. | 1260 |
| D. | 1200 |
| Answer» D. 1200 | |
| 64. |
There are 20 books of which 4 are single volumes and the other are books of 8, 5 and 3 volumes respectively. In how many ways can all these books be arranged on a self so that volumes of the same book are not separated ? |
| A. | 7! 8! 5! 3! |
| B. | 7! 8! 4! 3! |
| C. | 7! 6! 5! 3! |
| D. | None of these |
| Answer» B. 7! 8! 4! 3! | |
| 65. |
If S= {2, 3, 4, 5, 7, 9} , then the number of different three-digit number (with all distinct digits) less than 400 that can be formed from S is ? |
| A. | 20 |
| B. | 40 |
| C. | 80 |
| D. | 120 |
| Answer» B. 40 | |
| 66. |
If 7 points out of 12 are in the same straight line, then the number of triangles formed is ? |
| A. | 19 |
| B. | 158 |
| C. | 185 |
| D. | 201 |
| Answer» D. 201 | |
| 67. |
In how many different ways can the letters of word JUDGE be arranged so that the vowels always come together? |
| A. | 48 |
| B. | 24 |
| C. | 120 |
| D. | 60 |
| Answer» B. 24 | |
| 68. |
From 4 officers and 8 Jawans in how many ways can 6 be chosen to include at least one officer? |
| A. | 896 |
| B. | 986 |
| C. | 886 |
| D. | 996 |
| Answer» B. 986 | |
| 69. |
From a group of 6 men and 4 women a committee of 4 persons is to be formed ? |
| A. | 210 |
| B. | 225 |
| C. | 195 |
| D. | 185 |
| Answer» D. 185 | |
| 70. |
The numbers of straight lines can be formed out of 10 points of which 7 are collinear ? |
| A. | 26 |
| B. | 21 |
| C. | 25 |
| D. | None of these |
| Answer» D. None of these | |
| 71. |
The number of different permutations of the word 'BANANA' is ? |
| A. | 270 |
| B. | 60 |
| C. | 120 |
| D. | 360 |
| Answer» C. 120 | |
| 72. |
The total number of arrangements of the letters in the expression a |
| A. | 1260 |
| B. | 2520 |
| C. | 610 |
| D. | None of these |
| Answer» B. 2520 | |
| 73. |
An intelligence agency forms a code of two distinct digits selected from 0, 1, 2,....., 9 such that the first-digit of code is non-zero. The code, handwritten on a slip, can however potentially create confusion when read upside down, for examples the code 91 may appear as 16. how many codes are there for which no such confusion can arise? |
| A. | 80 |
| B. | 78 |
| C. | 71 |
| D. | 69 |
| Answer» E. | |
| 74. |
How many numbers can be formed from 1, 2, 3, 4, 5, ( without repetition), when the digit at the unit's place must be greater than that in the ten's place? |
| A. | 54 |
| B. | 60 |
| C. | 51/3 |
| D. | 2 x 4! |
| Answer» C. 51/3 | |
| 75. |
Boxes numbered 1, 2, 3, 4, and 5 are kept in a row and they are to be filled with either a red or a blue ball, such that no two adjacent boxes can be filled with blue balls. Then, how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects? |
| A. | 8 |
| B. | 10 |
| C. | 15 |
| D. | 22 |
| Answer» E. | |
| 76. |
A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated ? |
| A. | 120 |
| B. | 180 |
| C. | 160 |
| D. | 140 |
| Answer» B. 180 | |
| 77. |
4 boys and 2 girls are to be seated in a row in such a way that two girls are always together. In how many different ways can they be seated ? |
| A. | 120 |
| B. | 720 |
| C. | 148 |
| D. | 240 |
| Answer» E. | |
| 78. |
The total number of words, which can be formed out of the letters a, b, c, d, e, f taken 3 together, such that each word contains at least one vowel is ? |
| A. | 72 |
| B. | 48 |
| C. | 96 |
| D. | None of these |
| Answer» D. None of these | |
| 79. |
Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is ? |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» C. 13 | |
| 80. |
A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the question". One question from each section is compulsory. In how many ways, a candidate can select the question ? |
| A. | 38 |
| B. | 217 |
| C. | 256 |
| D. | 320 |
| E. | None of the above |
| Answer» C. 256 | |
| 81. |
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities, is |
| A. | 92 |
| B. | 90 |
| C. | 91 |
| D. | 93 |
| E. | None of the above |
| Answer» C. 91 | |
| 82. |
The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed from a group consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee if Mr. Y is its member, is |
| A. | 1960 |
| B. | 3240 |
| C. | 1540 |
| D. | None of these |
| Answer» E. | |
| 83. |
A five-digit number divisible by 3 is to be formed using digits 0, 1, 2, 3, 4 and 5 without repetition, the total number of ways this can be done, is |
| A. | 122 |
| B. | 210 |
| C. | 216 |
| D. | 217 |
| E. | None of the above |
| Answer» D. 217 | |
| 84. |
A new flag is to be designed with six vertical stripes using some or all of the colour yellow, green,blue and red. Then, the number of ways this can be made such that no two adjacent stripes have the same colour is |
| A. | 12 x 81 |
| B. | 16 x 192 |
| C. | 20 x 125 |
| D. | 24 x 216 |
| Answer» B. 16 x 192 | |
| 85. |
In how many ways can the letter of the word ' civilization' be arranged ? |
| A. | 12! / 4! |
| B. | 12! / 4! -1 |
| C. | 13! / 5! - 1 |
| D. | None of these |
| Answer» C. 13! / 5! - 1 | |
| 86. |
Letters of the word DIRECTOR are arranged in such a way that all the vowels come together. Find out the total no. of ways for making such arrangement. ? |
| A. | 4320 |
| B. | 2720 |
| C. | 2160 |
| D. | 1120 |
| Answer» D. 1120 | |
| 87. |
In how many difference ways can six players be arranged in a line such that two of them, Abhinav and Manjesh are never together ? |
| A. | 120 |
| B. | 240 |
| C. | 360 |
| D. | 480 |
| Answer» D. 480 | |
| 88. |
In a monthly test, the teacher decides that there will be there questions, one each from ex. 7, 8 and 9 of the text book. There are 12 questions in ex-7 , 18 in ex-8 and 9 in ex-9. In how many ways can the three questions be selected ? |
| A. | 1944 |
| B. | 2094 |
| C. | 1894 |
| D. | 2194 |
| Answer» B. 2094 | |
| 89. |
If there are 12 persons in a party and each of them shakes hands with each other, how many handshakes do happen in the party? |
| A. | 77 |
| B. | 66 |
| C. | 44 |
| D. | 55 |
| Answer» C. 44 | |
| 90. |
In a question paper, there are four multiple choice type question. Each question has five choices with only one choice for its correct answer. What is the total number of ways in which a candidate will not get all the four answers correct ? |
| A. | 19 |
| B. | 120 |
| C. | 624 |
| D. | 1024 |
| Answer» D. 1024 | |
| 91. |
A, B , C , and D are four towns, any three of which are non-collinear. Then, the number of ways to construct three roads each joining a pair of towns, so that the roads do not form a triangle, is ? |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 24 |
| Answer» E. | |
| 92. |
Three dice (each having six faces with each face having one number from 1 or 6 ) are rolled. What is the number of possible outcomes such that atleast one dice shows the numbers 2 ? |
| A. | 36 |
| B. | 81 |
| C. | 91 |
| D. | 116 |
| Answer» D. 116 | |
| 93. |
How many different numbers can be formed from the digits 3, 4, 5, 6 and 7 when repetitions are allowed ? |
| A. | 3125 |
| B. | 625 |
| C. | 3905 |
| D. | 125 |
| Answer» D. 125 | |
| 94. |
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 ? |
| A. | 185 |
| B. | 175 |
| C. | 115 |
| D. | 105 |
| Answer» B. 175 | |
| 95. |
How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels. If all the letters are different ? |
| A. | 251820 |
| B. | 258120 |
| C. | 281520 |
| D. | 285120 |
| Answer» E. | |
| 96. |
12 persons are to be arranged to a round table. If two particular persons among them are not to be side by side, the total number of arrangements is ? |
| A. | 9 (10!) |
| B. | 2 (10!) |
| C. | 45 (8!) |
| D. | 10! |
| Answer» B. 2 (10!) | |
| 97. |
The total number of selections of fruit which can be made from 3 bananas, 4 apples and 2 oranges is ? |
| A. | 39 |
| B. | 315 |
| C. | 512 |
| D. | None of these |
| Answer» E. | |
| 98. |
In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible ? |
| A. | 72 |
| B. | 144 |
| C. | 288 |
| D. | 234 |
| Answer» C. 288 | |
| 99. |
How many straight lines can be drawn from 15 non-collinear points ? |
| A. | 105 |
| B. | 120 |
| C. | 110 |
| D. | 115 |
| E. | 118 |
| Answer» B. 120 | |
| 100. |
In how many ways, the letters of the word 'ARMOUR' can be arranged ? |
| A. | 720 |
| B. | 300 |
| C. | 640 |
| D. | 350 |
| E. | None of the above |
| Answer» F. | |