Problems on L.C.M and H.C.F : Aptitude Questions and Answers

Q11. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

A. 85

B. 89

C. 81

D. 75

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Correct Answer : 85


Q12. The H.C.F. and L.C.M. of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is :

A. 110

B. 99

C. 88

D. 77

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Correct Answer : 77


Q13. The L.C.M. of 22, 54, 108, 135 and 198 is :

A. 5940

B. 330

C. 1980

D. 11880

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Correct Answer : 5940


Q14. The sum of two numbers is 528 and their H.C.F. is 33. The number of pairs of numbers satisfying the above conditions is :

A. 8

B. 4

C. 6

D. 12

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Correct Answer : 4


Q15. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is :

A. 318

B. 308

C. 283

D. 279

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Correct Answer : 308


Q16. Product of two co – prime numbers is 117. Their L.C.M. should be :

A. 117

B. 110

C. 122

D. 1

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Correct Answer : 117


Q17. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to :

A. 120/11

B. 55/601

C. 11/120

D. 601/55

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Correct Answer : 11/120


Q18. Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. The numbers are :

A. 4, 8, 12

B. 12, 24, 36

C. 10, 20, 30

D. 5, 10, 15

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Correct Answer : 12, 24, 36


Q19. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :

A. 40

B. 28

C. 64

D. 32

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Correct Answer : 40


Q20. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :

A. 2

B. 1

C. 4

D. 3

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Correct Answer : 2


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