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Q.

In the prime factorization of 37!=2α2.3α3.5α5...........37α37 the ratio α3:α5=

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a

8:21

b

17:8

c

3:5

d

5:3

answer is B.

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Detailed Solution

37!=2α2 3α3 5α5 37α37

α3=373+3732+3733=12+4+1=17

α5=375+3752=7+1=8

α3:α5=17:8

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