HCF and LCM Questions with Answers for Competitive Exam

HCF and LCM Aptitude Questions

21. Find the HCF of 54, 288, 360
(A) 18
(B) 36
(C) 54
(D) 108
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Ans .  A

 
 
22. Reduce 803876 to the lowest terms.
(A) 1112
(B) 2324
(C) 2627
(D) 47
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Ans .  A

 
 
23. Find the LCM of 23,46,827
(A) 827
(B) 227
(C) 83
(D) 23
827
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Ans .  B

 
 
24. What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?
A. 125
B. 117
C. 132
D. 112
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Ans .  A

 
 
25. The ratio of two numbers is 4 : 5. If the HCF of these numbers is 6, what is their LCM?
A. 30
B. 60
C. 90
D. 120
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Ans .  D

 
 
26. The product of two 2 digit numbers is 2028 and their HCF is 13. What are the numbers ?
A. 26, 78
B. 39, 52
C. 13, 156
D. 36, 68
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Ans .  B

 
 
27. What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
A. 1286
B. 1436
C. 1216
D. 1386
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Ans .  D

 
 
28. 504 can be expressed as a product of primes as
A. 2 × 2 × 3 × 3 × 7 × 7    
B. 2 × 3 × 3 × 3 × 7 × 7
C. 2 × 3 × 3 × 3 × 3 × 7
D. 2 × 2 × 2 × 3 × 3 × 7
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Ans .  D

 
 
29. What is the lowest common multiple of 12, 36 and 20?
A. 160
B. 220
C. 120
D. 180
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Ans .  D

 
 
30. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1108
B. 1683
C. 2007
D. 3363
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Ans .  B