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)
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
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
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
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
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
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
ย 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
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
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
Answer: A
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