HCF & LCM MCQ Set 3

HCF & LCM MCQ SET 3

1. What is the HCF of (x^8 – y^8) and (x^7 – y^7 + x^5y^2 – x^2y^5) ?

(a) (x^2 + y^2)

(b) (x^2 – y^2)

(c) (x^3 – y^3 – x^2y + xy^2)

(d) (x^3 – y^3 + x^2y – xy^2)

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Answer: C

2. Let p(x) = x^4 + x^2 + 1 ,
q(x) = x^4 – 2x^3 + 3x^2 – 2x + 1 . If HCF of p(x) and q(x) is x^2 – x + 1 , then what is their LCM?

(a) (x^2 + x + 1) (x^2 – x + 1)^2

(b) (x^4 + x^2 + 1)^2 (x^2 – x + 1)

(c) (x^4 + x^2 + 1) (x^2 + x + 1)^2

(d) (x^4 + x^2 + 1) (x^2 – x + 1)^2

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Answer: A

3. The HCF and LCM of two numbers is 6 and 5040 respectively . If one of the number is 210 , then the other number is:

(a) 256

(b) 144

(c) 30

(d) 630

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Answer: B

4. The product of HCF and LCM of two numbers is 3321 . If one of the numbers is 369 . The HCF of number is

(a) 21

(b) 9

(c) 3

(d) 27

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Answer: B

5. The LCM of two numbers is 2079 . Ans their HCF is 27 . If one of the numbers is 189 , then what is the second number?

(a) 297

(b) 528

(c) 189

(d) 216

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Answer: A

6. Two numbers are in the ratio of 5 : 7 . The product of their LCM and HCF is 12635 . then the sum of the numbers will be .

(a) 252

(b) 228

(c) 304

(d) 380

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Answer: B

7. The sum of and difference between the LCM and HCF of two numbers are 512 and 496 , respectively . If one number is 72 , then the other number is:

(a) 80

(b) 40

(c) 64

(d) 56

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 Answer: D

8. When product of two numbers , is divided by its HCF then we get 5775 , but when it is divided by LCM , we get 25 . If one number is 525 , what is the second number?

(a) 275

(b) 325

(c) 405

(d) 210

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Answer: A

9. The sum of two numbers is 528 and their H.C.F. is 33 . The number of pairs of numbers are possible :

(a) 4

(b) 6

(c) 8

(d) 12

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Answer: A

10. The sum of two numbers is 1224 and their HCF is 68 . The number of pairs of numbers satisfying the above condition is :

(a) 3

(b) 4

(c) 6

(d) 2

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Answer: A