MCQOPTIONS
Saved Bookmarks
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.
| 101. |
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? |
| A. | 256 |
| B. | 24 |
| C. | 12 |
| D. | None of these |
| Answer» C. 12 | |
| 102. |
If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number: |
| A. | 601 |
| B. | 600 |
| C. | 603 |
| D. | 602 |
| Answer» B. 600 | |
| 103. |
What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift? |
| A. | 72 * 8! |
| B. | 144 * 8! |
| C. | 36 * 8! |
| D. | 9! |
| Answer» D. 9! | |
| 104. |
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. | |
| 105. |
10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged ? |
| A. | 2775600 |
| B. | 125600 |
| C. | 7257600 |
| D. | 1200560 |
| E. | None of these |
| Answer» D. 1200560 | |
| 106. |
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together? |
| A. | 6! /2 |
| B. | 3!*3! |
| C. | 4! /2 |
| D. | 4!*3! /2! |
| E. | 5! /2 |
| Answer» E. 5! /2 | |
| 107. |
How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant? |
| A. | 263 *21 |
| B. | 26*25*24*21 |
| C. | 25*24*23*21 |
| D. | None of these |
| Answer» B. 26*25*24*21 | |
| 108. |
A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, East, West or South. Find the number of ways of he can reach the point (5,6), covering the shortest possible distance. |
| A. | 252 |
| B. | 432 |
| C. | 462 |
| D. | 504 |
| Answer» D. 504 | |
| 109. |
A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting four digit code with the proper combination of each of the 4 rings. Maximum how many codes can be formed to open the lock ? |
| A. | 49 |
| B. | 94 |
| C. | 9P4 |
| D. | None of these |
| Answer» C. 9P4 | |
| 110. |
A book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are available, In how many ways can the book shelf be filled such that book on the same languages are not put adjacently. |
| A. | (40P6) /6! |
| B. | (6P4) /2! |
| C. | 10 *95 |
| D. | 4 *35 |
| Answer» E. | |
| 111. |
A college has 10 basketball players. A 5 member's team and a captain will be selected out of these 10 players. How many different selections can be made? |
| A. | 1260 |
| B. | 210 |
| C. | 10C6 *6! |
| D. | 10C5 *6 |
| Answer» D. 10C5 *6 | |
| 112. |
Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side. |
| A. | 864 |
| B. | 863 |
| C. | 865 |
| D. | 1728 |
| Answer» E. | |
| 113. |
If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be: |
| A. | 67 |
| B. | 68 |
| C. | 65 |
| D. | 69 |
| Answer» B. 68 | |
| 114. |
How many factors of 25 *36 *52 are perfect squares? |
| A. | 20 |
| B. | 24 |
| C. | 30 |
| D. | 36 |
| Answer» C. 30 | |
| 115. |
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. | 16C7 *7! |
| B. | 12C4 *4C3 *7! |
| C. | 12C3 *4C4 |
| D. | 11C4 *4C3 |
| Answer» C. 12C3 *4C4 | |
| 116. |
There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to: |
| A. | 2!*7! |
| B. | 2!*8! |
| C. | 3!*7! |
| D. | 3!*8! |
| E. | None of these |
| Answer» B. 2!*8! | |
| 117. |
There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals |
| A. | 9 : 1 |
| B. | 72 : 1 |
| C. | 10 : 1 |
| D. | 8 : 1 |
| Answer» D. 8 : 1 | |
| 118. |
Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| E. | None of these |
| Answer» C. 4 | |
| 119. |
In the next World cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. Four top teams of this round will qualify for the semifinal round, where they play the best of three matches. The Minimum number of matches in the next World cup will be: |
| A. | 54 |
| B. | 53 |
| C. | 38 |
| D. | 43 |
| E. | None of these |
| Answer» C. 38 | |
| 120. |
How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeated. |
| A. | 15 |
| B. | 96 |
| C. | 216 |
| D. | 120 |
| E. | 625 |
| Answer» D. 120 | |
| 121. |
Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race? |
| A. | 700 |
| B. | 360 |
| C. | 120 |
| D. | 24 |
| E. | 21 |
| Answer» C. 120 | |
| 122. |
The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition. |
| A. | 1200 |
| B. | 1500 |
| C. | 1600 |
| D. | 1630 |
| Answer» E. | |
| 123. |
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? |
| A. | 499 |
| B. | 500 |
| C. | 375 |
| D. | 376 |
| E. | 501 |
| Answer» E. 501 | |
| 124. |
From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible? |
| A. | 138 |
| B. | 128 |
| C. | 112 |
| D. | 91 |
| Answer» E. | |
| 125. |
In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party. |
| A. | 15 |
| B. | 14 |
| C. | 21 |
| D. | 25 |
| Answer» B. 14 | |
| 126. |
The number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is: |
| A. | 12 |
| B. | 8 |
| C. | 9 |
| D. | 10 |
| Answer» E. | |
| 127. |
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. | 210 |
| B. | 210 *33 |
| C. | 4 *34 |
| D. | 42 *33 |
| Answer» D. 42 *33 | |
| 128. |
There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices. |
| A. | 120 |
| B. | 116 |
| C. | 140 |
| D. | 20 |
| Answer» C. 140 | |
| 129. |
In how many ways can the letters of the word 'LEADER' be arranged? |
| A. | 72 |
| B. | 144 |
| C. | 360 |
| D. | 720 |
| E. | None of these |
| Answer» D. 720 | |
| 130. |
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions? |
| A. | 32 |
| B. | 48 |
| C. | 36 |
| D. | 60 |
| E. | 120 |
| Answer» D. 60 | |
| 131. |
20 men handshake with each other without repetition. What is the total number of handshakes made? |
| A. | 190 |
| B. | 210 |
| C. | 150 |
| D. | 250 |
| E. | None of these |
| Answer» B. 210 | |
| 132. |
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? |
| A. | 210 |
| B. | 1050 |
| C. | 25200 |
| D. | 21400 |
| E. | None of these |
| Answer» D. 21400 | |
| 133. |
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw? |
| A. | 32 |
| B. | 48 |
| C. | 64 |
| D. | 96 |
| E. | None of these |
| Answer» D. 96 | |
| 134. |
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together? |
| A. | 120 |
| B. | 720 |
| C. | 4320 |
| D. | 2160 |
| E. | None of these |
| Answer» C. 4320 | |
| 135. |
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? |
| A. | 810 |
| B. | 1440 |
| C. | 2880 |
| D. | 50400 |
| E. | 5760 |
| Answer» E. 5760 | |
| 136. |
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women? |
| A. | 266 |
| B. | 5040 |
| C. | 11760 |
| D. | 86400 |
| E. | None of these |
| Answer» D. 86400 | |
| 137. |
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together? |
| A. | 10080 |
| B. | 4989600 |
| C. | 120960 |
| D. | None of these |
| E. | None of these |
| Answer» D. None of these | |
| 138. |
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? |
| A. | 360 |
| B. | 480 |
| C. | 720 |
| D. | 5040 |
| E. | None of these |
| Answer» D. 5040 | |
| 139. |
How many 3-digit numbers 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. | 5 |
| B. | 10 |
| C. | 15 |
| D. | 20 |
| E. | None of these |
| Answer» E. None of these | |
| 140. |
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed? |
| A. | 40 |
| B. | 400 |
| C. | 5040 |
| D. | 2520 |
| E. | None of these |
| Answer» D. 2520 | |
| 141. |
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? |
| A. | 564 |
| B. | 645 |
| C. | 735 |
| D. | 756 |
| E. | None of these |
| Answer» E. None of these | |
| 142. |
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? |
| A. | 159 |
| B. | 194 |
| C. | 205 |
| D. | 209 |
| E. | None of these |
| Answer» E. None of these | |
| 143. |
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? |
| A. | 63 |
| B. | 90 |
| C. | 126 |
| D. | 45 |
| E. | 135 |
| Answer» B. 90 | |