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Find the value of p(5)

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 6 :-

May 25, 2020
algebrapolynomial

Problem Statement

Let p(x)p(x) be a polynomial of degree 4 with leading coefficients 1. Suppose p(1)=1p(1)=1, p(2)=2p(2)=2, p(3)=3p(3)=3, p(4)=4p(4)=4. Then p(5)=p(5)=
[*] 5 [*] 256\frac{25}{6} [*] 29 [*] 35
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