HCF & LCM MCQ Set 6

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

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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

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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

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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

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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

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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

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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

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 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

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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

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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

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Answer: B