TS ICET 2016 Question Paper with Solutions for online practice

Note : In a code the

n^{th}

letter in the English alphabet is coded as the

r^{th}

letter of it, where r is the remainder when 3n + 2 is divided by 26. For example, the 7th letter G is coded as W since 3.7 + 2 = 23 and W is the 23rd letter; the 8th letter H is coded as Z since 3.8 + 2 = 26 and Z is the 26th letter in the alphabet. The reverse process is used for decoding. Based on this coding and decoding answer Q. Nos. 56 to 60.

Question : 118 of 200

Marks: +1, -0

x^5 - 7x^4

9x^3 + 7x^2

- 10 = (

x^2

- 1 )g(x), then one of the values of a such that g(a) = 0 is

Validate

Solution:

Given :

x^5–7x4+9x^3+7x^2–10x=(x^2–1)g(x)

⇒x(x^4–7x^3+9x^2+7x–10)=(x^2–1)g(x)

⇒x(x^2–1)(x^2–7x+10)=(x^2–1)g(x)

⇒g(x)=x(x^2–7x+10)=x(x–2)(x–5)

⇒ g(a) = 0 when

a=0,2,5

Among the given options 5 is the correct choice.

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