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HCF and LCM Questions & Answers

Practice important H.C.F. and L.C.M questions to ensure clarity. H.C.F. and L.C.M questions and answers carry a high weightage in the examination and ought to be practiced on a regular basis.

Q1

Q1 Find the HCF of 72,288 and 1080

A

36

B

72

C

144

D

288

Q2

Q2 The product of two numbers is 2268. If their HCF is 9,what is their LCM?

A

240

B

280

C

124

D

252

Q3

Q3 Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A

40

B

80

C

120

D

200

Q4

Q4 HCF of two numbers is 12 and their sum is 288. How many such pairs of numbers is possible?

A

3

B

2

C

4

D

1

Q5

Q5 The number of number pairs lying between 40 and 100 with their HCF as 15 is

A

3

B

2

C

4

D

1

Q6

Q6 What is the minimum number of identical square tiles to required fit in a rectangular floor of dimension 720*540?

A

13

B

12

C

14

D

11

Q7

Q7 Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

A

13

B

16

C

14

D

15

Q8

Q8 In a meet, persons from five different places have assembled in Bangalore High School. From the five places the persons come to represent are 42,60,210,90 and 84. What is the minimum number of rooms that would be required to accommodate so that each room has the same number of occupants and occupants are all from the same places?

A

44

B

62

C

81

D

96

Q9

Q9 Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A

13

B

2

C

4

D

11

Q10

Q10 The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A

1325

B

840

C

1683

D

1563

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Practice HCF and LCM Questions & Answers

The more questions a candidate answers, the better their understanding of the HCF and LCM concepts and their ability to answer quickly and accurately.

Importance: High

Difficulty level: 3 out of 5 (Normal)

Examination- SSC, Banking, GMAT, GRE, SAT, CAT, etc.

Parent section: Quantitative Aptitude

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