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.
| 1. |
A motor starts with the speed of 70 km ph with its speed increasing every two hours by 10 km ph. In how many hours will it cover 345 kms? |
| A. | 4½ hours |
| B. | 3 hours |
| C. | 5¼ hours |
| D. | 2 hours |
| Answer» B. 3 hours | |
| 2. |
Patrick reads twice as much as Bob but only 1/2 as much as Amy and Doug reads as much as all three others put together. How many books did Bob read last week if Doug read 7 books? |
| A. | 1/2 book |
| B. | 1/4 book |
| C. | 2 books |
| D. | 1 book |
| Answer» E. | |
| 3. |
How many combinations are possible if a person has 4 sports jackets, 5 shirts and 3 pairs of slacks? |
| A. | 12 |
| B. | 5 |
| C. | 120 |
| D. | 60 |
| Answer» E. | |
| 4. |
What is the third term in a sequence of numbers that leave remainders of 1, 2 and 3 when divided by 2, 3 and 4 respectively? |
| A. | 17 |
| B. | 11 |
| C. | 35 |
| D. | 19 |
| Answer» D. 19 | |
| 5. |
A family of 9 men in Indore spends Rs16380 in a year. What must be the expenses of 8 men in Calcutta who live in the same style for 7 months, assuming that the price in Calcutta are (3/5) of what they are in Indore? |
| A. | Rs5460 |
| B. | Rs5096 |
| C. | Rs5224 |
| D. | Rs4879 |
| Answer» C. Rs5224 | |
| 6. |
A bag contains 20 gum balls. If there are 8 red, 7 white and 5 green, what is the minimum number of gum balls one must pick from the bag to be assured of one of each color? |
| A. | 6 |
| B. | 3 |
| C. | 19 |
| D. | 16 |
| Answer» E. | |
| 7. |
All faces of a cube with a 4 meter edge are covered with striped paper. If the cube is then cut into cubes with 1 meter edges, how many of the 1meter cubes have striped paper on exactly one face? |
| A. | 36 |
| B. | 24 |
| C. | 72 |
| D. | 48 |
| Answer» C. 72 | |
| 8. |
In a certain school, 20% of the students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years age, which is 48. What is the total number of students in the school? |
| A. | 80 |
| B. | 72 |
| C. | 120 |
| D. | 100 |
| Answer» E. | |
| 9. |
Tickets numbered from 1 through 50 are placed in a container, and one ticket will be selected at random. What is the probability that the ticket selected will have a number on it divisible by 3? |
| A. | 01-05-2015 |
| B. | 01-03-1950 |
| C. | 01-08-2025 |
| D. | 03-10-2015 |
| Answer» D. 03-10-2015 | |
| 10. |
A certain number of glasses were purchased for Rs600. Ten more glasses could have been purchased for the same amount, if each glass were cheaper by Rs5. Find the number of glasses purchased? |
| A. | 30 |
| B. | 20 |
| C. | 45 |
| D. | 40 |
| Answer» B. 20 | |
| 11. |
In a class room, there are 6 students. We need to divide them into 3 pairs for the purpose of assigning homework. In how many ways can we make such pairs? |
| A. | 6 |
| B. | 5 |
| C. | 24 |
| D. | 15 |
| Answer» E. | |
| 12. |
Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Four years ago Jim was 4 twice as old as Sam. How old is Jim now? |
| A. | 12 |
| B. | 8 |
| C. | 20 |
| D. | 16 |
| Answer» D. 16 | |
| 13. |
From a container having pure spirit, 20% is replaced by water and the process is repeated thrice. At the end of the third operation pure spirit is: |
| A. | 0.512 |
| B. | 0.488 |
| C. | 0.542 |
| D. | 0.5 |
| Answer» B. 0.488 | |
| 14. |
A bag contains 5 red, 6 white and 3 black balls. Two balls are drawn at random. Find the probability that at least one of them will be red? |
| A. | 55/89 |
| B. | 110/123 |
| C. | 55/91 |
| D. | 47/91 |
| Answer» D. 47/91 | |
| 15. |
Daniel had a number of cookies. After eating one, he gave half the remaining ones to his sister. After eating another cookie, he gave half of what was left to his brother. Daniel now had only 15 cookies left. How many cookies did she start with? |
| A. | 61 |
| B. | 23 |
| C. | 63 |
| D. | 65 |
| Answer» D. 65 | |
| 16. |
In a function there are 12 men and 6 women. Each man shakes his hand with all the men and each woman shakes her hand with all the women. Find the total number of hand shakes? |
| A. | 81 |
| B. | 66 |
| C. | 72 |
| D. | 15 |
| Answer» B. 66 | |
| 17. |
A bag contains three kinds of coins in the following ratio – the number of 5 – rupee coins; the number of 2 – rupee coins; the number of 1 rupee coins = 3:2:1. If the total value of the coins is Rs240, find the number of 1 – r |
| A. | 12 |
| B. | 11 |
| C. | 14 |
| D. | 13 |
| Answer» B. 11 | |
| 18. |
If a store purchases several items for $1.80 per dozen and sells them at 3 for $0.85, what is the store’s profit on 6 dozen of these items? |
| A. | $5.70 |
| B. | $4.20 |
| C. | $10.60 |
| D. | $9.60 |
| Answer» E. | |
| 19. |
Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices. |
| A. | 56 |
| B. | 24 |
| C. | 16 |
| D. | 8 |
| Answer» B. 24 | |
| 20. |
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 | |
| 21. |
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. | |
| 22. |
12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.%! |
| A. | 360 |
| B. | 384 |
| C. | 432 |
| D. | 470 |
| Answer» C. 432 | |
| 23. |
Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.%! |
| A. | 56 |
| B. | 24 |
| C. | 16 |
| D. | 8 |
| Answer» B. 24 | |
| 24. |
How many diagonals can be drawn in a pentagon?%! |
| A. | 5 |
| B. | 10 |
| C. | 8 |
| D. | 7 |
| Answer» B. 10 | |
| 25. |
A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?%! |
| A. | 10 |
| B. | 12 |
| C. | 15 |
| D. | 20 |
| Answer» D. 20 | |
| 26. |
From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?%! |
| A. | 246 |
| B. | 340 |
| C. | 290 |
| D. | 315 |
| Answer» B. 340 | |
| 27. |
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. | |
| 28. |
How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?%! |
| A. | 100 |
| B. | 50 |
| C. | 26 |
| D. | 1000 |
| Answer» B. 50 | |
| 29. |
How many 5-digit positive integers exist the sum of whose digits are odd?%! |
| A. | 36000 |
| B. | 38000 |
| C. | 45000 |
| D. | 90000 |
| Answer» D. 90000 | |
| 30. |
How many positive integers 'n' can be form using the digits 3,4,4,5,6,6,7, if we want 'n' to exceed 60,00,000?%! |
| A. | 320 |
| B. | 360 |
| C. | 540 |
| D. | 720 |
| Answer» D. 720 | |
| 31. |
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?%! |
| A. | 210 |
| B. | 29 |
| C. | 3 *28 |
| D. | None of these |
| Answer» C. 3 *28 | |
| 32. |
In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs does not matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?%! |
| A. | 7 |
| B. | 6 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 33. |
*$_How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?? |
| A. | 100 |
| B. | 50 |
| C. | 26 |
| D. | 1000 |
| Answer» B. 50 | |
| 34. |
*$_How many 5-digit positive integers exist the sum of whose digits are odd?? |
| A. | 36000 |
| B. | 38000 |
| C. | 45000 |
| D. | 90000 |
| Answer» D. 90000 | |
| 35. |
*$_A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?? |
| A. | 105 |
| B. | 168 |
| C. | 120 |
| D. | 189 |
| Answer» C. 120 | |
| 36. |
*/*_A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?? |
| A. | 10 |
| B. | 12 |
| C. | 15 |
| D. | 20 |
| Answer» D. 20 | |
| 37. |
*/*_How many diagonals can be drawn in a pentagon?? |
| A. | 5 |
| B. | 10 |
| C. | 8 |
| D. | 7 |
| Answer» B. 10 | |
| 38. |
*/*_12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.? |
| A. | 360 |
| B. | 384 |
| C. | 432 |
| D. | 470 |
| Answer» C. 432 | |
| 39. |
*/*_From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?? |
| A. | 246 |
| B. | 340 |
| C. | 290 |
| D. | 315 |
| Answer» B. 340 | |
| 40. |
*/*_Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.? |
| A. | 56 |
| B. | 24 |
| C. | 16 |
| D. | 8 |
| Answer» B. 24 | |
| 41. |
*/*_In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.? |
| A. | 144 |
| B. | 288 |
| C. | 12 |
| D. | 256 |
| Answer» B. 288 | |
| 42. |
%_While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of "lower wear" (either a pant or a half-pant), a choice of "upper wear" (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?_% |
| A. | 567 |
| B. | 1821 |
| C. | 743 |
| D. | 1701 |
| Answer» E. | |
| 43. |
%_The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same is:_% |
| A. | 1514 |
| B. | 1512 |
| C. | 3024 |
| D. | 3028 |
| Answer» C. 3024 | |
| 44. |
%_In how many ways can a leap year have 53 Sundays?_% |
| A. | 365C7 |
| B. | 7 |
| C. | 4 |
| D. | 2 |
| Answer» E. | |
| 45. |
%_A committee is to be formed comprising 7 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?_% |
| A. | 4914 |
| B. | 3630 |
| C. | 3724 |
| D. | 3824 |
| Answer» B. 3630 | |
| 46. |
%_A selection committee is to be chosen consisting of 5 ex-technicians. Now there are 12 representatives from four zones. It has further been decided that if Mr. X is selected, Y and Z will not be selected and vice-versa. In how many ways it can be done?_% |
| A. | 572 |
| B. | 672 |
| C. | 472 |
| D. | 372 |
| Answer» C. 472 | |
| 47. |
_ There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:$? |
| A. | 10 ways |
| B. | 30 ways |
| C. | 60 ways |
| D. | 80 ways |
| Answer» B. 30 ways | |
| 48. |
_ A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?$? |
| A. | 105 |
| B. | 168 |
| C. | 189 |
| D. | 120 |
| Answer» C. 189 | |
| 49. |
_ After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?$? |
| A. | 16 |
| B. | 15 |
| C. | 13 |
| D. | 14 |
| Answer» C. 13 | |
| 50. |
_ Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:$? |
| A. | 69760 |
| B. | 30240 |
| C. | 99748 |
| D. | 42386 |
| Answer» B. 30240 | |