MCQOPTIONS
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MCQOPTIONS
This section includes 285 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If (x - 6) is the HCF of x2 - 2x - 24 and x2- kx - 6, then what is the value of k? |
| A. | 3 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 2. |
If HCF of x3 - 10m2 + 31x - 30m and x2 - 8mx + 15 is a linear polynomial, then what is the value of m ? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 3. |
What is the LCM of (x2 - y2 - z2 - 2yz), (x2 - y2 + z2 + 2xz) and (x2 + y2 - z2 - 2xy) ? |
| A. | (x + y + z) (x + y - z) (x - y + z) |
| B. | (x + y + z) (x - y - z) (x - y + z) |
| C. | (x + y + z) (x + y - z) (x - y - z) |
| D. | (x + y - z) (x - y - z) (x - y + z) |
| Answer» C. (x + y + z) (x + y - z) (x - y - z) | |
| 4. |
The total number of prime factors of the products (8)20, (15)24, (7)15 is ? |
| A. | 59 |
| B. | 98 |
| C. | 123 |
| D. | 138 |
| Answer» D. 138 | |
| 5. |
What are the values of c when the HCF of x3 + c x2 - x + 2c and x2 + cx - 2 over the rational is a linear polynomial ? |
| A. | +1 |
| B. | +2 |
| C. | +1 |
| D. | +4 |
| Answer» B. +2 | |
| 6. |
The number of prime factors in the expression (6)10 x (7)17 x (11)27 is ? |
| A. | 54 |
| B. | 64 |
| C. | 71 |
| D. | 81 |
| Answer» C. 71 | |
| 7. |
The number of prime factors in 2222 x 3333 x 5555 is ? |
| A. | 3 |
| B. | 1107 |
| C. | 1110 |
| D. | 1272 |
| Answer» D. 1272 | |
| 8. |
H.C.F . of 23, 32 and 15 is ? |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 360 |
| Answer» D. 360 | |
| 9. |
L.C.M of 33, 4, 42 and 3 is ? |
| A. | 12 |
| B. | 48 |
| C. | 432 |
| D. | None of these |
| Answer» D. None of these | |
| 10. |
If there number are 2a, 5a, and 7a, what will be their LCM? |
| A. | 70a |
| B. | 65a |
| C. | 75a |
| D. | 70a |
| E. | |
| Answer» B. 65a | |
| 11. |
If (x+2) is the HCF of x2 + ax + b and x2 + cx + d , then which one of the following is correct ? |
| A. | a + c = b + d |
| B. | 2a + b = 2c + d |
| C. | b + 2c = 2a + d |
| D. | b - 2c = 2a - d |
| Answer» D. b - 2c = 2a - d | |
| 12. |
The sum of two numbers is 36 and their H.C.F and L.C.M. are 3 and 105 respectively. The sum of the reciprocals of two numbers is |
| A. | |
| B. | |
| C. | |
| Answer» D. | |
| 13. |
If p : q be the ratio of two whole numbers and r be their HCF, then the LCM of those two numbers is |
| A. | qr |
| B. | |
| C. | |
| D. | pqr |
| Answer» E. | |
| 14. |
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| Answer» C. | |||||||||||
| 15. |
4 bells ring at intervals of 30 minutes, 1 hour, 11/2 hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at : |
| A. | 12 mid night |
| B. | 3 a.m. |
| C. | 6 a.m. |
| D. | 9 a.m. |
| Answer» E. | |
| 16. |
From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speed of 21/2 km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after |
| A. | 30 hours |
| B. | 6 hours |
| C. | 10 hours |
| D. | 15 hours |
| Answer» D. 15 hours | |
| 17. |
If (x+2) is the HCF of x |
| A. | a + c = b + d |
| B. | 2a + b = 2c + d |
| C. | b + 2c = 2a + d |
| D. | b - 2c = 2a - d |
| Answer» D. b - 2c = 2a - d | |
| 18. |
The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» D. 5 | |
| 19. |
The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible ? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 20. |
A number p is divisible by 7. When this number is divided by 8, 12 and 16. It leaves a remainder 3 in each case. The least value of p is: |
| A. | 148 |
| B. | 149 |
| C. | 150 |
| D. | 147 |
| Answer» E. | |
| 21. |
The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 is |
| A. | 9828 |
| B. | 9288 |
| C. | 9882 |
| D. | 9928 |
| Answer» B. 9288 | |
| 22. |
Let p be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of p is |
| A. | 21 |
| B. | 22 |
| C. | 18 |
| D. | 24 |
| Answer» D. 24 | |
| 23. |
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. | 75 |
| B. | 81 |
| C. | 85 |
| D. | 89 |
| Answer» D. 89 | |
| 24. |
L.C.M. of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers ? |
| A. | 140 |
| B. | 80 |
| C. | 60 |
| D. | 70 |
| Answer» E. | |
| 25. |
Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is |
| A. | 100 |
| B. | 192 |
| C. | 288 |
| D. | 336 |
| Answer» D. 336 | |
| 26. |
The number between 3000 and 4000 which is exactly divisible by 30, 36 and 80 is |
| A. | 3625 |
| B. | 3250 |
| C. | 3500 |
| D. | 3600 |
| Answer» E. | |
| 27. |
HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is : |
| A. | 70 |
| B. | 77 |
| C. | 63 |
| D. | 56 |
| Answer» D. 56 | |
| 28. |
Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is : |
| A. | 966 |
| B. | 696 |
| C. | 669 |
| D. | 666 |
| Answer» C. 669 | |
| 29. |
The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is |
| A. | 1100 |
| B. | 975 |
| C. | 900 |
| D. | 800 |
| Answer» B. 975 | |
| 30. |
The L.C.M. of two numbers is 20 times their H.C.F. The sum of H.C.F. and L.C.M. is 2520. If one of the number is 480, the other number is : |
| A. | 400 |
| B. | 480 |
| C. | 520 |
| D. | 600 |
| Answer» E. | |
| 31. |
Three plots having an area of 132, 204 and 228 square metres respectively are to be subdivided into equal vegetable beds. If the breadth of a bed is 3 metres, find the maximum length that a bed can have. |
| A. | 14 metres |
| B. | 4 metres |
| C. | 24 metres |
| D. | 6 metres |
| Answer» C. 24 metres | |
| 32. |
The sum of two numbers is 1215 and their HCF is 81. How many such pairs of numbers can be formed? |
| A. | 3 |
| B. | 4 |
| C. | 6 |
| D. | None of these |
| Answer» C. 6 | |
| 33. |
The number of pair of positive integers whose sum is 99 and HCF is 9 is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |
| 34. |
The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively |
| A. | 12, 24 |
| B. | 24, 12 |
| C. | 24, 36 |
| D. | 36, 24 |
| Answer» E. | |
| 35. |
Find the greatest number which will divide 478 and 719 leaving remainders 2 and 5 respectively. |
| A. | 242 |
| B. | 240 |
| C. | 236 |
| D. | 238 |
| Answer» E. | |
| 36. |
A wine seller had three types of wine, 403 litres of 1st kind, 434 litres of 2nd kind and 465 litres of 3rd kind. Find the least possible number of casks of equal size in which different types of wine can be filled without mixing. |
| A. | 46 |
| B. | 44 |
| C. | 42 |
| D. | 48 |
| Answer» D. 48 | |
| 37. |
Find the least number of square tiles by which the floor of a room of dimensions 16.58 8.32 m can be covered completely? |
| A. | 348644 |
| B. | 344864 |
| C. | 384644 |
| D. | None of these |
| Answer» C. 384644 | |
| 38. |
A room is 26 metres long and 10 metres broad. Its floor is to be paved by square tiles. What will be the least number of tiles required to cover the floor completely ? |
| A. | 50 |
| B. | 55 |
| C. | 60 |
| D. | 65 |
| Answer» E. | |
| 39. |
On being divided by a three digit number, the numbers 95336 and 91545 leave the same remainder. Find the number and the remainder. |
| A. | 234 and 109 |
| B. | 233 and 105 |
| C. | 223 and 115 |
| D. | None of these |
| Answer» D. None of these | |
| 40. |
The numbers 2270, 3739 and 6677 on being divided by a certain number of three digits, leave the same remainder. Find the number and the remainder respectively. |
| A. | 123, 20 |
| B. | 113, 10 |
| C. | 116, 20 |
| D. | 118, 15 |
| Answer» C. 116, 20 | |
| 41. |
A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes 1/3 Then, the LCM of the numerator and denominator of the said fraction, must be |
| A. | 14 |
| B. | 350 |
| C. | 5 |
| D. | 70 |
| Answer» E. | |
| 42. |
Three plots having an area of 165, 195 and 285 square metres respectively are to be sub-divided into equalised flower beds. If the breadth of a bed is 3 metres, what will the maximum length of a bed? |
| A. | 5.5 metres |
| B. | 6 metres |
| C. | 5 metres |
| D. | 6.5 metres |
| Answer» D. 6.5 metres | |
| 43. |
On dividing the numbers 7654, 8506 and 9997 by a certain largest number, in each case the remainder is the same. Find the number and the remainder. |
| A. | 213 and 199 |
| B. | 223 and 189 |
| C. | 233 and 179 |
| D. | None of these |
| Answer» B. 223 and 189 | |
| 44. |
Find the greatest number which divides 99, 123 and 183 leaving the same remainder in each case. |
| A. | 11 |
| B. | 12 |
| C. | 13 |
| D. | 14 |
| Answer» D. 14 | |
| 45. |
Find the greatest number which will divide 42, 49 and 56 and leave remainders 6, 7 and 8 respectively. |
| A. | 6 |
| B. | 8 |
| C. | 12 |
| D. | 24 |
| Answer» B. 8 | |
| 46. |
The HCF of two numbers is 15 and their LCM is 225. If one of the numbers is 75, then find the another number. |
| A. | 105 |
| B. | 90 |
| C. | 60 |
| D. | 45 |
| Answer» E. | |
| 47. |
Find the least number which when divided by 12, 15, 20 and 24 leaves the same remainder 2 in each case ? |
| A. | 122 |
| B. | 120 |
| C. | 124 |
| D. | 126 |
| Answer» B. 120 | |
| 48. |
What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )? |
| A. | 2 x 3 x 7 |
| B. | 2 x 3 x 9 |
| C. | 2 x 3 |
| D. | 2 x 7 x 9 x 11 |
| Answer» D. 2 x 7 x 9 x 11 | |
| 49. |
Find the LCM of 1/3, 2/9, 5/6 and 4/27. |
| A. | 1/54 |
| B. | 10/27 |
| C. | 20/3 |
| D. | 3/20 |
| Answer» D. 3/20 | |
| 50. |
Find the LCM of 2/3, 3/5, 4/7 and 9/13. |
| A. | 36 |
| B. | 1/36 |
| C. | 1/1365 |
| D. | 12/455 |
| Answer» B. 1/36 | |