If you are preparing for Defence Exam, then here you can practice here HCF LCM Questions MCQ which can help to improve in your preparation.
Question 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
Question 2: The GCD and LCM of two polynomials are x+1 and x4-1 respectively. If one of the polynomials is x2+1, find other one
(A) x3-1
(B) (x + 1)(x2 – 1)
(C) x2 + x – 1
(D) x2 – x +
Question 3: Find the Highest Common Factor of 4p2q3r, 8p3q2r2, 16p2q4r3
(A) 4p2q4r3
(B) 4p2q2r
(C) 16p2q2r
(D) 16p2q4r3
Question 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
Question 5: Find the HCF of 9a2b2, 18b2c2, 27c2a2
(A) 9
(B) 18
(C) 27
(D) 36
HCF LCM Questions MCQ
Question 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
Question 7: Find the L.C.M. of 35 a2c3b, 42 a3cb2, 30 ac2b3
(A) 7 a2b2c2
(B) 210 abc
(C) 210 a3b3c3
(D) 210 a2b2c2
Question 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
Question 9: The HCF of 108, 360 and 408 is
(A) 6
(B) 10
(C) 12
(D) 14
Question 10: The LCM of two numbers is 2079 then HCF is 27. If the 1st number is 189, then the 2nd number is
(A) 195
(B) 215
(C) 246
(D) 297
HCF LCM Questions MCQ
Question 11: Find the LCM of 12(x-1)3 and 15(x-1)(x+2)2
(A) 60(x-1)3(x+2)2
(B) 60(x-1)
(C) 3(x-1)
(D) 3(x-1)3(x+2)2
Question 12: The L.C.M. of 22, 54, 108, 135 and 198 is
(A) 300
(B) 1890
(C) 5940
(D) 10560
Question 13: If P is a prime number, then the L.C.M. of P and P + 1 is
(A) P2 + 1
(B) P(P+1)/2
(C) (P+1)2
(D) P(P+1)
Question 14: The ratio of two numbers is 3:4 and their H.C.F is 4. Find their L.C.M.
(A) 12
(B) 16
(C) 24
(D) 48
Question 15: The HCF and LCM of two numbers m and n are 6 and 210 respectively. If m + n =72 the 1/m + 1/n is equal to
(A) 1/35
(B) 2/35
(C) 3/35
(D) 4/35
HCF LCM Questions MCQ
Question 16: Three numbers are in the ratio 3:4:5 and their LCM is 2400. Find the HCF.
(A) 40
(B) 70
(C) 110
(D) 180
Question 17: Three numbers are in the ratio of 2:3:4 an their HCF is 10. The numbers are
(A) 10, 20, 30
(B) 20, 30, 40
(C) 30, 20, 40
(D) 40, 20, 30
Question 18: The LCM of two numbers is 2310 and their HCF is 30. If one number is 210, the other number is
(A) 330
(B) 1370
(C) 2010
(D) 16570
Question 19: The HCF of 6/7, 5/14 and 10/21 is
(A) 5/7
(B) 1/21
(C) 1/42
(D) 30/7
Question 20: LCM of x3 – a3 and (x – a)2 is
(A) (x3 – a3) (x – a)
(B) (x3 – a3) (x – a)2
(C) (x3 – a3) (x + a)
(D) (x – a)2 (x2 + ax + a2)
HCF LCM Questions MCQ, HCF LCM Questions MCQ, HCF LCM Questions MCQ
HCF LCM Questions MCQ – Mathematics Preparation Answer Key: –
| Question No. | Answer | Question No. | Answer |
| Question 1 | A | Question 11 | A |
| Question 2 | B | Question 12 | D |
| Question 3 | B | Question 13 | D |
| Question 4 | B | Question 14 | B |
| Question 5 | A | Question 15 | B |
| Question 6 | A | Question 16 | A |
| Question 7 | C | Question 17 | B |
| Question 8 | D | Question 18 | A |
| Question 9 | C | Question 19 | C |
| Question 10 | D | Question 20 | D |
