HCF & LCM MCQ SET 5
1. The LCM of the two numbers is 12 times their HCF . If the sum of LCM and HCF is 169 and the sum of the numbers is 91 , find the difference between the numbers .
(a) 13
(b) 58
(c) 72
(d) 66
Answer: A
2. The HCF and the LCM of two numbers are 5 and 120 , respectively . If the sum of the two numbers is 55 , then the sum of the reciprocals of these two numbers is equal to :
(a) 55/601
(b) 11/120
(c) 120/11
(d) 601/55
Answer: B
3. The sum of two numbers is 1215 and their HCF is 81 . If the numbers lie between 500 and 700 , then the sum of the reciprocals of the number is ……
(a) 5/702
(b) 5/378
(c) 5/1512
(d) 5/1188
Answer: C
4. Two numbers are in the ratio 7 : 11 . If their HCF is 28 ,ย then the sum of the two numbers is:
(a) 196
(b) 504
(c) 112
(d) 308
Answer: C
5. Three numbers are in the ratio 1/2 : 2/3 : 3/4 . If the difference between the greatest number and the smallest number is 33 , then HCF of the three numbers is :
(a) 9
(b) 5
(c) 13
(d) 11
Answer: D
6. The ratio of two numbers 9 : 14 and their LCM is 1008 . The numbers are :
(a) 63 , 98
(b) 72 , 112
(c) 81 , 126
(d) 54 , 105
Answer: B
7. The HCF of two numbers is 29 and the other two factors of their LCM are 15 and 13 . The larger of the two numbers is :
(a) 435
(b) 377
(c) 406
(d) 464
ย Answer: A
8. The sum of LCM and HCF of two numbers is 4956 . Those numbers have a ratio of 11 : 16 . What’s the difference between LCM and HCF of two numbers?
(a) 4480
(b) 4620
(c) 4780
(d) 4900
Answer: D
9. The LCM of 165 , 176 , 385 and495 is k . When k is divided by the HCF of the numbers , the quotient is p . What is the value of p?
(a) 2520
(b) 5040
(c) 6720
(d) 3360
Answer: B
10. Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280 . What is their HCF ?
(a) 60
(b) 69
(c) 75
(d) 57
Answer: B
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