Problems on H.C.F and L.C.M

21. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

A. 15 cm
B. 25 cm
C. 35 cm
D. 42 cm

Correct Answer: C. 35 cm

Answer Explanation:

Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm.

22. 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. 75
B. 81
C. 85
D. 89

Correct Answer: C. 85

Answer Explanation:

The sum of the three numbers is

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

A. 4
B. 6
C. 12
D. 18

Correct Answer: C. 12

Answer Explanation:

highest common factor

24. Which of the following fraction is the largest?

fraction

Correct Answer: Option A

Answer Explanation:

largest

25. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

A. 504
B. 536
C. 544
D. 548

Correct Answer: D. 548

Answer Explanation:

Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.


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