HCF and LCM Questions and Answers for Practice
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are-
(A) 273, 357
(B) 273,361
(C) 273, 359
(D) 273, 363
Correct Answer : A
The HCF and LCM of two number are 20 and 120, respectively. If one number is 50 percent more than the other number, then which is the smaller number.
(A) 80
(B) 40
(C) 60
(D) 20
Correct Answer : B
Three Alarm make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is
(A) 10:07:36 hrs
(B) 10:07:24 hrs
(C) 10:07:12 hrs
(D) 10:07:48 hrs
Correct Answer : C
If the product of three consecutive numbers is 210 then the sum of the smaller numbers is:
(A) 5
(B) 11
(C) 3
(D) 4
Correct Answer : B
The ratio of two numbers is 2: 3 and their L.C.M is 48. What is the number?
(A) 8, 6
(B) 16, 24
(C) 18, 32
(D) 25, 28
Correct Answer : B
A General of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remained unused.
(A) 81
(B) 97
(C) 36
(D) 65
Correct Answer : A
The least number which when divided by 4, 6, 8 and 9 leave zero remainders in each case and when divided by 13 leaves a remainder of 7 is:
(A) 85
(B) 36
(C) 144
(D) 72
Correct Answer : D
If the least common multiple of two numbers, 1728 and K is 5184, then how many values of K are possible?
(A) 6
(B) 7
(C) 11
(D) 8
Correct Answer : B
The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is
(A) 136
(B) 204
(C) 254
(D) 146
Correct Answer : A
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is:
(A) 2
(B) 3
(C) 0
(D) 1
Correct Answer : A