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TRINA DAS

· started a discussion

· 1 Months ago

Doubt (Question:231916.0)

Why 43 is given as answer?

Question:

n4 – 4n3 – 39n2 + 86n + 140 (where n is a natural number) is always divisible by ________.

Options:
A)

140

B)

 

125

C)

20

D)

43

Solution:

Ans: (d) Let E(n) =  n4 – 4n3 – 39n2 + 86n + 140

∴ E (1) = 184

Since, neither 140 nor 125 nor 20 is a factor of 184

It is not divisible by any of  them 

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