MCQOPTIONS
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MCQOPTIONS
This section includes 115 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF. |
| A. | 21 |
| B. | 42 |
| C. | 63 |
| D. | 36 |
| Answer» B. 42 | |
| 2. |
The HCF and LCM of two numbers are 3 and 2730 respectively. If one of the numbers is 78, find the other number. |
| A. | 107 |
| B. | 103 |
| C. | 105 |
| D. | 102 |
| Answer» D. 102 | |
| 3. |
What is the LCM (least common multiple) of 57 and 93? |
| A. | 1576 |
| B. | 1767 |
| C. | 1567 |
| D. | 1919 |
| Answer» C. 1567 | |
| 4. |
a and b are two whole numbers and c is their HCF, then the LCM of those two numbers is |
| A. | ab/c |
| B. | abc |
| C. | bc |
| D. | ac/b |
| Answer» B. abc | |
| 5. |
LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is |
| A. | 297 |
| B. | 584 |
| C. | 189 |
| D. | 216 |
| Answer» B. 584 | |
| 6. |
Two numbers are in the ratio 3: 4. If their LCM is 240, the E smaller of the two numbers is: |
| A. | 100 |
| B. | 80 |
| C. | 60 |
| D. | 50 |
| Answer» D. 50 | |
| 7. |
The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is. |
| A. | 124 |
| B. | 128 |
| C. | 134 |
| D. | 138 |
| Answer» B. 128 | |
| 8. |
What is the HCF of 16, 72 and 28 ? |
| A. | 3 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» C. 2 | |
| 9. |
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are- |
| A. | 273, 357 |
| B. | 273,361 |
| C. | 273, 359 |
| D. | 273, 363 |
| Answer» B. 273,361 | |
| 10. |
The least number is a perfect square and is also divisible by 10,12,15 and 18 is? |
| A. | 3600 |
| B. | 2500 |
| C. | 1600 |
| D. | 900 |
| Answer» E. | |
| 11. |
Find out the H.C.F of 306, 204 and 136. |
| A. | 17 |
| B. | 51 |
| C. | 68 |
| D. | 34 |
| Answer» E. | |
| 12. |
The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M? |
| A. | 24 |
| B. | 48 |
| C. | 56 |
| D. | 60 |
| Answer» E. | |
| 13. |
The product of two numbers is 2028 and their HCF is 13. The number of such pair is- |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 14. |
Four bells ring at the intervals of 5, 6, 8, and 9 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after: |
| A. | 12 minutes |
| B. | 18 minutes |
| C. | 6 minutes |
| D. | 24 minutes |
| Answer» D. 24 minutes | |
| 15. |
The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is |
| A. | 2522 |
| B. | 840 |
| C. | 2520 |
| D. | 842 |
| Answer» B. 840 | |
| 16. |
What is the L.C.M of 12, 36, 6 and 9? |
| A. | 36 |
| B. | 144 |
| C. | 108 |
| D. | 62 |
| Answer» B. 144 | |
| 17. |
Two pipes of length 36 metre and 40 metre are to be cut into equal pieces without leaving any extra length of pipe. Find the number of such pieces if pipes are to be cut of maximum length. |
| A. | 9 |
| B. | 19 |
| C. | 4 |
| D. | 15 |
| Answer» C. 4 | |
| 18. |
Find the least number which when divided by 25, 30, 35 and 40 leaves the remainder 18, 23, 28 and 33 respectively. |
| A. | 4186 |
| B. | 4193 |
| C. | 4196 |
| D. | 4183 |
| E. | 4207 |
| Answer» C. 4196 | |
| 19. |
The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers. |
| A. | 10 |
| B. | 14 |
| C. | 20 |
| D. | 28 |
| Answer» D. 28 | |
| 20. |
The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is- |
| A. | 10 |
| B. | 46 |
| C. | 70 |
| D. | 90 |
| Answer» B. 46 | |
| 21. |
The product of the LCM and HCF of two numbers is 24.The difference of the two numbers is 2.Find the numbers ? |
| A. | 8 and 6 |
| B. | 8 and 10 |
| C. | 2 and 4 |
| D. | 6 and 4 |
| Answer» E. | |
| 22. |
The product of two number is 4107. If the HCF of the number is 37. The greatest number is |
| A. | 185 |
| B. | 111 |
| C. | 107 |
| D. | 101 |
| Answer» C. 107 | |
| 23. |
The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum of HCF and LCM is 1150. The other numbers is- |
| A. | 225 |
| B. | 235 |
| C. | 240 |
| D. | 250 |
| Answer» B. 235 | |
| 24. |
The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is- |
| A. | 9136 |
| B. | 9216 |
| C. | 9316 |
| D. | 9236 |
| Answer» B. 9216 | |
| 25. |
The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is: |
| A. | 91 |
| B. | 910 |
| C. | 1001 |
| D. | 1911 |
| Answer» B. 910 | |
| 26. |
The HCF of two numbers 12906 and 14818 is 478. Their LCM is: |
| A. | 400086 |
| B. | 200043 |
| C. | 600129 |
| D. | 600129 |
| Answer» B. 200043 | |
| 27. |
Find the L.C.M of $$ {6x}{y^{2}z},{8x^{2}{y^{3}z^{2},{12{x^{3}{y^{3}z^{3}}}}}}$$. |
| A. | 2xyz |
| B. | $$ {4x}{y^{2}z}$$ |
| C. | $$ {3x}{y^{2}z}$$ |
| D. | $$ {2x}{y^{2}z}$$ |
| Answer» E. | |
| 28. |
If the least common multiple(LCM) of two numbers is 231, the Highest common multiple(H.C.F) of both numbers is 11 and the first number is 77, then the second number is |
| A. | 47 |
| B. | 37 |
| C. | 57 |
| D. | 33 |
| Answer» E. | |
| 29. |
Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is: |
| A. | 85 |
| B. | 89 |
| C. | 75 |
| D. | 81 |
| Answer» B. 89 | |
| 30. |
A six digit number is formatted by repeating a three digit number: for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by: |
| A. | 7 only |
| B. | 11 only |
| C. | 13 only |
| D. | 1001 only |
| Answer» E. | |
| 31. |
What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ? |
| A. | 364 |
| B. | 350 |
| C. | 343 |
| D. | 371 |
| Answer» B. 350 | |
| 32. |
If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number? |
| A. | 9 |
| B. | 22 |
| C. | 33 |
| D. | 11 |
| Answer» D. 11 | |
| 33. |
What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively? |
| A. | 1133 |
| B. | 127 |
| C. | 42 |
| D. | 1100 |
| Answer» B. 127 | |
| 34. |
A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets the same remainder in each case. What is the common remainder? |
| A. | 156 |
| B. | 199 |
| C. | 211 |
| D. | 231 |
| Answer» C. 211 | |
| 35. |
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs? |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» D. 1 | |
| 36. |
N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N? |
| A. | 4 |
| B. | 3 |
| C. | 6 |
| D. | 5 |
| Answer» B. 3 | |
| 37. |
Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at some time. They will again ring simultaneously after: |
| A. | 6 minutes |
| B. | 12 minutes |
| C. | 18 minutes |
| D. | 24 minutes |
| Answer» B. 12 minutes | |
| 38. |
The smallest perfect square divisible by each of 6, 12 and 18 is : |
| A. | 196 |
| B. | 144 |
| C. | 108 |
| D. | 36 |
| Answer» E. | |
| 39. |
Two numbers are in the ratio 3 : 4. Their LCM is 84 . The greater number is: |
| A. | 21 |
| B. | 24 |
| C. | 28 |
| D. | 84 |
| Answer» D. 84 | |
| 40. |
The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is: |
| A. | 147 |
| B. | 528 |
| C. | 132 |
| D. | 264 |
| Answer» D. 264 | |
| 41. |
The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 42. |
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is |
| A. | 1120 |
| B. | 4714 |
| C. | 5200 |
| D. | 5600 |
| Answer» C. 5200 | |
| 43. |
The greatest number, which when divides 989 and 1327 leave remainder 5 and 7 respectively: |
| A. | 8 |
| B. | 16 |
| C. | 24 |
| D. | 32 |
| Answer» D. 32 | |
| 44. |
The HCF and LCM of two numbers are 12 and 336 respectively. If one of the number is 84, the other is |
| A. | 36 |
| B. | 48 |
| C. | 72 |
| D. | 96 |
| Answer» C. 72 | |
| 45. |
If A and B are the HCF and LCM respectively of two algebraic expressions x and y, and A + B = x + y, then the value of A3 + B3 is |
| A. | $$x^3-y^3 $$ |
| B. | $$x^3$$ |
| C. | $$y^3$$ |
| D. | $$x^3 + y^3$$ |
| Answer» E. | |
| 46. |
The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is? |
| A. | 450 |
| B. | 454 |
| C. | 540 |
| D. | 544 |
| Answer» E. | |
| 47. |
LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be? |
| A. | 5 |
| B. | 25 |
| C. | 45 |
| D. | 225 |
| Answer» D. 225 | |
| 48. |
Two numbers are in the ratio 3: 4 if their LCM is 240 then smaller number will be |
| A. | 100 |
| B. | 80 |
| C. | 60 |
| D. | 50 |
| Answer» D. 50 | |
| 49. |
If the ratio of two numbers is 13 : 15 and their L.C.M. is 39780. Then the numbers are? |
| A. | 2550 and 3450 |
| B. | 2652 and 3060 |
| C. | 2250 and 2340 |
| D. | 2450 and 3450 |
| Answer» C. 2250 and 2340 | |
| 50. |
Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time? |
| A. | 3600 sec. |
| B. | 2400 sec. |
| C. | 1800 sec. |
| D. | 4800 sec. |
| Answer» D. 4800 sec. | |