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SSC CPO 2024 PYQ — Question 104

SSC CPO - 28 June 2024 - Shift 3 • Quantitative Aptitude • Q104

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If x = 11, then the value of (x5 − 12x4 + 12x3 − 12x2 + 12x − 1) is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 10.

(115−12×114+12×113−12×112+12×11−1)(11^5 - 12 × 11^4 + 12 × 11^3 - 12 × 11^2 + 12 × 11 - 1)

Now, we can calculate each term:

⇒ 11511^5 = 161051

 ⇒ 12 × 11411^4 = 175692

 ⇒ 12 × 11311^3 = 15972 

 ⇒ 12 × 11211^2 = 1452

 ⇒ 12 × 11 = 132

Substituting these values back into the expression:

161051 - 175692 + 15972 - 1452 + 132 - 1

Now, we can perform the arithmetic operations:

= 10