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

Q21. Two numbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. The sum of the numbers is :

A. 669

B. 966

C. 696

D. 666

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Correct Answer : 696


Q22. Reduce  \mathbf{\frac{128352}{238368}} to its lowest terms.

A. 9/13

B. 3/4

C. 5/13

D. 7/13

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Correct Answer : 7/13


Q23. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is :

A. 48

B. 24

C. 12

D. 16

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Correct Answer : 48


Q24. Three numbers are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is :

A. 200

B. 120

C. 40

D. 80

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Correct Answer : 40


Q25. Find the highest common factor of 36 and 84.

A. 6

B. 4

C. 18

D. 12

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Correct Answer : 12


Q26. The G.C.D. of 1.08, 0.36 and 0.9 is :

A. 0.18

B. 0.03

C. 0.108

D. 0.9

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Correct Answer : 0.18


Q27. L.C.M. of two prime numbers x and y (x > y) is 161. The value of 3y – x is :

A. 1

B. 2

C. – 2

D. -1

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Correct Answer : – 2


Q28. H.C.F of \mathbf{4\times 27 \times 3125} , \mathbf{8 \times 9\times 25\times 7}  &  \mathbf{16 \times 81\times 5\times 11\times 49} is:

A. 180

B. 360

C. 540

D. 1260

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Correct Answer : 180


Q29. The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :

A. 91

B. 910

C. 1001

D. 1911

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Correct Answer : 91


Q30. \mathbf{\frac{1095}{1168}} when expressed in simplest form is :

A. 17/26

B. 15/16

C. 25/26

D. 13/16

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Correct Answer : 15/16


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