Problems on H.C.F and L.C.M - Quantitative Aptitude (MCQ) questions

1)   Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
- Published on 03 May 17

a. 108
b. 96
c. 72
d. 36
Answer  Explanation 

ANSWER: 72

Explanation:
hcf lcm


2)   LCM of two numbers is 138. But their GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?
- Published on 03 May 17

a. 46
b. 138
c. 69
d. 23
Answer  Explanation 

ANSWER: 138

Explanation:
hcf lcm


3)   The least common multiple of two numbers is 168 and highest common factor of them is 12. If the difference between the numbers is 60, what is the sum of the numbers?
- Published on 12 Apr 17

a. 108
b. 96
c. 122
d. 144
Answer  Explanation 

ANSWER: 108

Explanation:
hcf lcm


4)   If least common multiple of two numbers is 225 and the highest common factor is 5 then find the numbers when one of the numbers is 25?
- Published on 11 Apr 17

a. 75
b. 65
c. 15
d. 45
Answer  Explanation 

ANSWER: 45

Explanation:
hcf lcm


5)   The greatest number of four digits which is divisible by 15, 25, 40, 75 is
- Published on 11 Apr 17

a. 600
b. 9000
c. 9600
d. 9400
Answer  Explanation 

ANSWER: 9600

Explanation:
hcf lcm


6)   What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but which when divided by 13 leaves no remainder?
- Published on 11 Apr 17

a. 312
b. 962
c. 1586
d. 1562
Answer  Explanation 

ANSWER: 1586

Explanation:
hcf lcm


7)   When a number is divided by 893 the remainder is 193. What will be the remainder when it is divided by 47?
- Published on 11 Apr 17

a. 19
b. 5
c. 33
d. 23
Answer  Explanation 

ANSWER: 5

Explanation:
hcf lcm


8)   The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs is
- Published on 11 Apr 17

a. 2
b. 5
c. 4
d. 3
Answer  Explanation 

ANSWER: 2

Explanation:
hcf lcm


9)   The L.C.M. of two numbers is 14560 and their H.C.F. is 13. If one of them is 416, the other is
- Published on 11 Apr 17

a. 460
b. 455
c. 450
d. 445
Answer  Explanation 

ANSWER: 455

Explanation:
hcf lcm


10)   The greatest length of the scale that can measure exactly 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm lengths is
- Published on 05 Apr 17

a. 5 cm
b. 10 cm
c. 15cm
d. 30 cm
Answer  Explanation 

ANSWER: 15cm

Explanation:
hcf lcm


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