HCF and LCM Questions with Answers for Competitive Exam

HCF and LCM Aptitude Questions

 
31. Which of the following integers has the most number of divisors?
A. 101
B. 99
C. 182
D. 176

 
 
32. What is the greatest number of four digits which is divisible by 15, 25, 40 and 75twnyyy ?
A. 9800
B. 9600
C. 9400
D. 9200


 
 
33. 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


 
 
34. The H.C.F. of two numbers is 5 and their L.C.M. is 150. If one of the numbers is 25, then the other is:
A. 30
B. 28
C. 24
D. 20


 
 
35. The least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
A. 41
B. 42
C. 32
D. 37


 
 
36. Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
A. 40
B. 30
C. 20
D. 10


 
 
37. Find the greatest common divisor of 24 and 16
A. 6
B. 2
C. 4
D. 8


 
 
38. Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. How many times will they ring together in 60 minutes ?
A. 31
B. 15
C. 16
D. 30


 
39. What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?
A. 276
B. 264
C. 272
D. 268


 
 
40. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
(A) 16cm
(B) 25cm
(C) 15cm
(D) 35cm