# HCF and LCM MCQ Questions

**HCF and LCM MCQ Questions**

**1-If LCM of ‘’a’’ and ‘’b’’ is a and LCM of ‘’b’’ and ‘’c’’ is b, then what is the LCM of ‘’c’’ and ‘’a’’.**

(A) a

(B) b

(C) c

(D) abc

**2-The GCD and LCM of two polynomials are x+1 and x ^{4}-1 respectively. If one of the polynomials is x^{2}+1, find other one**

(A) x^{3}-1

(B) (x + 1)(x^{2 }– 1)

(C) x^{2 }+ x – 1

(D) x^{2 }– x + 1

**3-Find the Highest Common Factor of 4p ^{2}q^{3}r, 8p^{3}q^{2}r^{2}, 16p^{2}q^{4}r^{3}**

(A) 4p^{2}q^{4}r^{3}

(B) 4p^{2}q^{2}r

(C) 16p^{2}q^{2}r

(D) 16p^{2}q^{4}r^{3}

**4-The H.C.F. of 2/3, 8/9, 64/81, 10/27 is**

(A) 2/3

(B) 2/81

(C) 160/3

(D) 160/81

**5-Find the HCF of 9a ^{2}b^{2}, 18b^{2}c^{2}, 27c^{2}a^{2}**

(A) 9

(B) 18

(C) 27

(D) 36

**6-The HCF of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is**

(A) 180

(B) 360

(C) 540

(D) 1260

**7-Find the L.C.M. of 35 a ^{2}c^{3}b, 42 a^{3}cb^{2}, 30 ac^{2}b^{3}**

(A) 7 a^{2}b^{2}c^{2}

(B) 210 abc

(C) 210 a^{3}b^{3}c^{3}

(D) 210 a^{2}b^{2}c^{2}

**8-The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. Find the second number**

(A) 50

(B) 75

(C) 100

(D) 125

**9-The HCF of 108, 360 and 408 is**

(A) 6

(B) 10

(C) 12

(D) 14

**10-The LCM of two numbers is 2079 then HCF is 27. If the 1 ^{st} number is 189, then the 2^{nd} number is**

(A) 195

(B) 215

(C) 246

(D) 297

**ANSWERS:**

**1-(A), 2-(B), 3-(B), 4-(B), 5-(A), 6-(A), 7-(C), 8-(D), 9-(C), 10-(D)**