MCQOPTIONS
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MCQOPTIONS
This section includes 143 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. |
_ There are 7 non-collinear points. How many triangles can be drawn by joining these points?$? |
| A. | 35 |
| B. | 10 |
| C. | 8 |
| D. | 7 |
| Answer» B. 10 | |
| 52. |
_ A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?$? |
| A. | 11340 |
| B. | 12750 |
| C. | 40 |
| D. | 320 |
| Answer» B. 12750 | |
| 53. |
_ In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?$? |
| A. | 8*9! |
| B. | 8*8! |
| C. | 7*9! |
| D. | 9*8! |
| Answer» B. 8*8! | |
| 54. |
__A student is required to answer 6 out of 10 questions divided into two groups each containing 5 questions. He is not permitted to attempt more than 4 from each group. In how many ways can he make the choice?__ |
| A. | 210 |
| B. | 150 |
| C. | 100 |
| D. | 200 |
| Answer» E. | |
| 55. |
__There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never together?__ |
| A. | 48 |
| B. | 72 |
| C. | 120 |
| D. | 210 |
| Answer» C. 120 | |
| 56. |
__There are 20 couples in a party. Every person greets every person except his or her spouse. People of the same sex shake hands and those of opposite sex greet each other with a Namaste (It means bringing one's own palms together and raising them to the chest level). What is the total number of handshakes and Namaste's in the party?__ |
| A. | 760 |
| B. | 1140 |
| C. | 780 |
| D. | 720 |
| Answer» C. 780 | |
| 57. |
_A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.$? |
| A. | 252 |
| B. | 240 |
| C. | 300 |
| D. | 340 |
| Answer» B. 240 | |
| 58. |
_I have an amount of Rs 10 lakh, which I went to invest in stocks of some companies. I always invest only amounts that are multiples of Rs 1 lakh in the stock of any company. If I can choose from among the stocks of five different companies, In how many ways can I invest the entire amount that I have?$? |
| A. | 252 |
| B. | 250 |
| C. | 1001 |
| D. | 1089 |
| Answer» D. 1089 | |
| 59. |
_How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?$? |
| A. | 510 |
| B. | 105 |
| C. | 10P5 |
| D. | 10C5 |
| Answer» B. 105 | |
| 60. |
_In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?$? |
| A. | 172000 |
| B. | 12600 |
| C. | 45920 |
| D. | 43200 |
| Answer» E. | |
| 61. |
_In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:$? |
| A. | 18 |
| B. | 19 |
| C. | 17 |
| D. | 16 |
| Answer» B. 19 | |
| 62. |
_In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?$? |
| A. | 24 |
| B. | 48 |
| C. | 96 |
| D. | 64 |
| Answer» C. 96 | |
| 63. |
_If 5* nP3 = 4* (n+1)P3, find n?$? |
| A. | 10 |
| B. | 11 |
| C. | 12 |
| D. | 14 |
| Answer» E. | |
| 64. |
_In how many ways can six different rings be worn on four fingers of one hand?$? |
| A. | 10 |
| B. | 12 |
| C. | 15 |
| D. | 16 |
| Answer» D. 16 | |
| 65. |
_Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?$? |
| A. | 9 |
| B. | 30 |
| C. | 36 |
| D. | 15 |
| Answer» E. | |
| 66. |
_How many different words can be formed using all the letters of the word ALLAHABAD?(a) When vowels occupy the even positions.(b) Both L do not occur together.$? |
| A. | 7560,60,1680 |
| B. | 7890,120,650 |
| C. | 7650,200,4444 |
| D. | None of these |
| Answer» E. | |
| 67. |
There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?$? |
| A. | 6P5 |
| B. | 1 |
| C. | 5 |
| D. | None of these |
| Answer» E. | |
| 68. |
A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?$? |
| A. | 392 |
| B. | 126 |
| C. | 26 |
| D. | 9 |
| Answer» C. 26 | |
| 69. |
How many different five-letter words can be formed using the letter from the world APPLE?$? |
| A. | 24 |
| B. | 60 |
| C. | 120 |
| D. | 240 |
| Answer» C. 120 | |
| 70. |
In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?$? |
| A. | 29P7 |
| B. | 29C7 |
| C. | 28P7 |
| D. | 28C7 |
| Answer» B. 29C7 | |
| 71. |
How many numbers are there between 100 and 1000 such that at least one of their digits is 6?$? |
| A. | 200 |
| B. | 225 |
| C. | 252 |
| D. | 120 |
| Answer» D. 120 | |
| 72. |
In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together whereas 2 particular green toys are always together?$? |
| A. | 11! * 2! |
| B. | 9! * 90 |
| C. | 4 * 10! |
| D. | 18 √ó 10! |
| Answer» E. | |
| 73. |
How many natural numbers less than a lakh can be formed with the digits 0,6 and 9?$? |
| A. | 242 |
| B. | 243 |
| C. | 728 |
| D. | 729 |
| Answer» B. 243 | |
| 74. |
A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?? |
| A. | 392 |
| B. | 126 |
| C. | 26 |
| D. | 9 |
| Answer» C. 26 | |
| 75. |
How many different five-letter words can be formed using the letter from the world APPLE?? |
| A. | 24 |
| B. | 60 |
| C. | 120 |
| D. | 240 |
| Answer» C. 120 | |
| 76. |
In how many ways can seven friends be seated in a row having 35 seats, such that no two friends occupy adjacent seats?? |
| A. | 29P7 |
| B. | 29C7 |
| C. | 28P7 |
| D. | 28C7 |
| Answer» B. 29C7 | |
| 77. |
Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct. |
| A. | 60000 |
| B. | 65000 |
| C. | 70000 |
| D. | 75000 |
| Answer» C. 70000 | |
| 78. |
In how many ways a President, VP and Water-boy can be selected from a group of 10 people. |
| A. | 10C3 |
| B. | 10P3 |
| C. | 240 |
| D. | 360 |
| Answer» C. 240 | |
| 79. |
A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged? |
| A. | 6! √ó 1440 |
| B. | 18! √ó 1440 |
| C. | 18! √ó2! √ó 1440 |
| D. | None of these |
| Answer» C. 18! ‚àö√≥2! ‚àö√≥ 1440 | |
| 80. |
If 6Pr = 360 and If 6Cr = 15, find r ? |
| A. | 5 |
| B. | 6 |
| C. | 4 |
| D. | 3 |
| Answer» D. 3 | |
| 81. |
In how many ways 2 students can be chosen from the class of 20 students? |
| A. | 190 |
| B. | 180 |
| C. | 240 |
| D. | 390 |
| Answer» B. 180 | |
| 82. |
How many Permutations of the letters of the word APPLE are there? |
| A. | 600 |
| B. | 120 |
| C. | 240 |
| D. | 60 |
| Answer» E. | |
| 83. |
In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? |
| A. | 10! - 2! |
| B. | 9! - 2! |
| C. | 10! - 9! |
| D. | None of these |
| Answer» E. | |
| 84. |
Six boxes are numbered 1,2,3,4,5 and 6. Each box must contain either a white ball or a black ball. At least one box must contain a black ball and boxes containing black balls must be consecutively numbered. find the total number of ways of placing the balls. |
| A. | 15 |
| B. | 20 |
| C. | 21 |
| D. | 36 |
| Answer» D. 36 | |
| 85. |
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION? |
| A. | 9!/4 |
| B. | 9!/4!√ó5! |
| C. | 4!√ó5! |
| D. | None of these |
| Answer» D. None of these | |
| 86. |
How many arrangements of four 0's (zeroes), two 1's and two 2's are there in which the first 1 occur before the first 2? |
| A. | 420 |
| B. | 360 |
| C. | 320 |
| D. | 210 |
| Answer» E. | |
| 87. |
There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person? |
| A. | 35 |
| B. | 70 |
| C. | 105 |
| D. | 210 |
| Answer» C. 105 | |
| 88. |
There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man? |
| A. | 55 |
| B. | 60 |
| C. | 25 |
| D. | 192 |
| Answer» C. 25 | |
| 89. |
A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can a candidate attempt the questions? |
| A. | 209 |
| B. | (4!-1)*(5!-1)*(6!-1) |
| C. | 119 |
| D. | 29295 |
| Answer» E. | |
| 90. |
The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR? |
| A. | 242 |
| B. | 240 |
| C. | 251 |
| D. | 275 |
| Answer» B. 240 | |
| 91. |
How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively? |
| A. | 6! *2! |
| B. | 6! – 2! |
| C. | 4! |
| D. | 5! |
| Answer» D. 5! | |
| 92. |
A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ? |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» E. | |
| 93. |
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together? |
| A. | 3! 4! 8! 4! |
| B. | 3! 8! |
| C. | 4! 4! |
| D. | 8! 4! 4! |
| Answer» B. 3! 8! | |
| 94. |
In a cricket match if a batsman score 0,1,2,3,4,or 6 runs of a ball, then find the number or different sequences in which he can score exactly 30 runs of an over. Assume that an over consists of only 6 balls and there were no extra and no run outs. |
| A. | 86 |
| B. | 71 |
| C. | 56 |
| D. | 65 |
| Answer» C. 56 | |
| 95. |
In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people? |
| A. | 15! /8! |
| B. | 7! *8! |
| C. | 15C7 *6! *7! |
| D. | 2 * 15C7 *6! *7! |
| E. | 15C8 *8! |
| Answer» D. 2 * 15C7 *6! *7! | |
| 96. |
a,b,c,d and e are five natural numbers. Find the number of ordered sets (a,b,c,d,e) possible such that a+b+c+d+e=64. |
| A. | 64C5 |
| B. | 63C4 |
| C. | 65C4 |
| D. | 63C5 |
| Answer» C. 65C4 | |
| 97. |
Find the number of ways in which 8064 can be resolved as the product of two factors? |
| A. | 22 |
| B. | 24 |
| C. | 21 |
| D. | 20 |
| Answer» C. 21 | |
| 98. |
In how many ways can 3 men and their wives be made stand in a line such that none of the 3 men stand in a position that is ahead of his wife? |
| A. | 6! /(3!*3!*3!) |
| B. | 6! /(2! *2!) |
| C. | 6! /(2! *2! *2!) |
| D. | 6! /(2! *3!) |
| Answer» D. 6! /(2! *3!) | |
| 99. |
How many number of times will the digit 7 be written when listing the integers from 1 to 1000? |
| A. | 271 |
| B. | 300 |
| C. | 252 |
| D. | 304 |
| Answer» C. 252 | |
| 100. |
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. | 2 * 17! |
| B. | 18! * 18 |
| C. | 19! * 18 |
| D. | 2 * 18! |
| E. | 2 * 17! * 17! |
| Answer» E. 2 * 17! * 17! | |