52n −22n is of the form a2n − b2n which is divisible by both (a + b) and (a – b).
So, 52n − 22n is divisible by both 7, 3.
14. The H.C.F of 441, 567 and 693 is
(A) 1
(B) 441
(C) 126
(D) 63
Answer: D
Explanation:
693 = 3×3×7×7
567 = 3×3×3×3×7
441 = 3×3×7×11
Therefore H.C.F of 693, 567 and 441 is 63.
15. On a morning walk, three persons step off together and their steps measure 40
cm, 42 cm and 45 cm, respectively. What is the minimum distance each should walk
so that each can cover the same distance in complete steps?
(A) 2520cm
(B) 2525cm
(C) 2555cm
(D) 2528cm
Answer: A
Explanation: We need to find the L.C.M of 40, 42 and 45 cm to get the required minimum
distance.
40 = 2×2×2×5
42 = 2×3×7
45 = 3×3×5
L.C.M. = 2×3×5×2×2×3×7 = 2520
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Hi mate!!!
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these qs. u get from @cybeeworld4u ????
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