HCF and LCM CUET General Test MCQs

Question: HCF of the reciprocals of the fractions 3/4, 9/10 and 15/16 is
a) 3/15
b) 3/80
c) 1/15
d) 2/45

Answer: d

Question: HCF of Rs 1.20, Rs 3.40, Rs 4.80
a) 80 paise
b) 60 paise
c) 40 paise
d) 20 paise

Answer: d

Question: The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is
a) 28
b) 32
c) 40
d) 64

Answer: c

Question: The LCM of 22, 54, 108, 135 is
a) 5940
b) 5490
c) 5405
d) 5095

Answer: a

Question: Which of the following number has the highest divisor?
a) 99
b) 101
c) 176
d) 182

Answer: c

Question: Mayank, Manoj and Ankit begin to jog around a circular stadium. They complete their revolutions in 425, 565 and 635, respectively. After how many seconds will they be together at the starting point?
a) 520 s
b) 504 s
c) 380 s
d) 480 s

Answer: b

Question: Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.
a) 21
b) 30
c) 35
d) 40

Answer: c

Question: The HCF of 1056, 1584, 2178 is
a) 66
b) 56
c) 62
d) 64

Answer: a

Question: The HCF of 5/6, 10/18, 25/36 is
a) 5/36
b) 25/6
c) 25/36
d) 5/18

Answer: a

Question: What is the largest number which can divide 1356, 1868 and 2764 leaving 12 as remainder in each case ?
a) 64
b) 124
c) 156
d) 260

Answer: a

Question: The LCM of 1/3, 5/6, 2/9, 4/27 is
a) 1/54
b) 10/27
c) 20/3
d) None of these

Answer: c

Question: Find the ratio between LCM and HCF of 5, 15 and 20.
a) 8 : 1
b) 14 : 3
c) 12 : 2
d) 12 : 1

Answer: d

Question: The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is
a) 142
b) 126
c) 118
d) 112

Answer: b

Question: If the LCM of three numbers is 9570, then their HCF will be
a) 11
b) 12
c) 19
d) 21

Answer: a

Question: Which is the smallest number of five digits which is divided by 41?
a) 10045
b) 10004
c) 10041
d) 10025

Answer: b

Question: The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers.
a) 8 and 6
b) 8 and 10
c) 12 and 4
d) 6 and 4

Answer: d

Question: In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?
a) 12220 cm
b) 12230 cm
c) 12240 cm
d) 12250 cm

Answer: c

Question: Find out of LCM of 4⁵, 4⁻¹⁸ , 4¹² and 4⁷
a) 4⁻⁸¹
b) 4⁵
c) 4⁷
d) 4¹²

Answer: d

Question: The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, the two numbers are
a) 273, 357
b) 210, 340
c) 215, 314
d) 210, 252

Answer: a

Question: Five bells first begin to toll together and then at intervals of 3, 5, 7, 8 and 10 s. Find after what interval they will again toll together. How many times does they toll together in one hour?
a) 14 min, 3 times
b) 12 min, 4 times
c) 14 min, 4 times
d) 12 min, 3 times

Answer: c

Question: The least number of square tiles required to pave the ceiling of a room 15 m 17 cm long and 9 m 2 cm broad is
a) 656
b) 814
c) 902
d) 738

Answer: b

Question: The LCM of (16 − x²) and (x²+ x − 6) is
a) (x − 3)(x + 3) (4 − x²) 
b) 4 (4 − x²) (x + 3)
c) (4 − x²) (x − 3)
d) (16 − x²) (x − 2) (x + 3)

Answer: d

Question: Find out the HCF of 3⁸,3⁵, 3⁹ and 3¹⁴
a) 3¹⁴
b) 3⁸
c) 3⁵
d) 3⁹

Answer: c

Question: The LCM of two numbers is (a + b) and their HCF is P(a − b). If one of the numbers is P, then the other number is
a) Pa/b
b) Pab
c) a² − b²
d) (a + b)/P(a - b)

Answer: c