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SSC CHSL 2024 PYQ — Question 59

SSC CHSL - 04 July 2024 - Shift 3 • Quantitative Aptitude • Q59

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Find the remainder, when we divide 2x3 - 3x2 + 6x - 4 by 2x - 3.

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 5.

2x3 - 3x2 + 6x - 4 by 2x - 3

Let, f(x) = 2x3 - 3x2 + 6x - 4.....(1)

And, Divisor = 2x - 3

⇒ 2x - 3 = 0

⇒ 2x = 3

⇒ x = 3/2

Now, on putting the value of x in equation 1

⇒ f(3/2) = 2(3/2)3 - 3(3/2)2 + 6(3/2) - 4

⇒ f(3/2) = 2 × 27/8 - 3 × 9/4 + 9 - 4

⇒ f(3/2) = 27/4 - 27/4 + 9 - 4

⇒ f(3/2) = 27/4 - 27/4 + 5

⇒ f(3/2) = 5