HCF & LCM MCQ SET 6
1. Three numbers are in the ratio of 3 : 4 : 5 and their HCF is 18 . What is the sum of these numbers?
(a) 216
(b) 198
(c) 180
(d) 234
Answer: A
2. Find the greatest number that divides 556 , 763 and 349 and leaves 4 as remainders respectively .
(a) 69
(b) 92
(c) 36
(d) 54
Answer: A
3. Find the greatest number that divides 797 , 1085 and 1232 and leaves 16 , 20 , 25 as remainders respectively .
(a) 69
(b) 71
(c) 65
(d) 91
Answer: B
4. Let x be the greatest number which when divides 955 , 1027 , 1075 , the remainder in each case is the same . Which of the following is NOT a factor of x?
(a) 6
(b) 16
(c) 4
(d) 8
Answer: B
5. When 7897 , 8110 and 8536 are divided by the greatest number , then the remainder in each case is the same . The sum of the digits of x is:
(a) 6
(b) 9
(c) 14
(d) 5
Answer: A
6. When 2388 , 4309 and 8151 are divided by a certain 3-digit number , the remainder in each case is the same . The remainder is :
(a) 15
(b) 19
(c) 39
(d) 23
Answer: A
7. When 1062 , 1134 and 1182 are divided by the greatest number x , the reminder in case is y . What is the value of (x – y) ?
(a) 19
(b) 17
(c) 16
(d) 18
ย Answer: D
8. If r is the remainder when each of 4749 , 5601 and 7092 is divided by the greatest possible number d(>1) , then the value of (d + r) will be:
(a) 276
(b) 271
(c) 137
(d) 149
Answer: A
9. When 4546 , 5398 and 6889 are divided by the greatest number m , the remainder in each case is n . What is the value of (2m – 3n)?
(a) 189
(b) 140
(c) 207
(d) 134
Answer: C
10. Let the least number which when divided by 4 , 6 , 10 , 15 leaves in each case same remainder 2 be N . the sum of digits in N is.
(a) 3
(b) 5
(c) 4
(d) 6
Answer: B
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