HCF and LCM Questions with Answers for Competitive Exam

HCF and LCM Aptitude Questions

 
11. What is the greatest number which divides 24, 28 and 34 and leaves the same remainder in each case?
A. 1
B. 2
C. 3
D. 4
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Ans .  B

 
 
12. The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. What is the largest number?
A. 312
B. 282
C. 299
D. 322
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Ans .  D

 
 
13. Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
A. 28
B. 40
C. 64
D. 42
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Ans .  B

 
 
14. The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number
(A)400
(B) 256
(C) 120
(D) 420
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Ans .  D

 
 
15. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is
(A)10:28 am
(B) 10:30 am
(C) 10:31 am
(D) None of above
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Ans .  C

 
 
16. If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.
(A)2574
(B) 2500
(C) 1365
(D) 1574
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Ans .  A

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

 
 
18. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
(A) 269
(B) 285
(C) 300
(D) 275
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Ans .  D

 
 
19. Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
(A) 45cm
(B) 255cm
(C) 244cm
(D) 55cm
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Ans .  A

 
 
20. Find the largest number of four digits which is exactly divisible by 27,18,12,15
(A) 9700
(B) 9710
(C) 9720
(D) 9730
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Ans .  C