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SSC CGL 2022 PYQ — Question 75

SSC CGL - 01 Dec 2022 - Shift 2 • Quantitative Aptitude • Q75

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k is a negative number such that k + k-1 = - 2, then what is the value of (k2 + 4k - 2)/(k2 + k - 5) ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 1.

Given:

k is a negative number such that k + k-1 = -2.

Concept used:

(a + b)2 = a2 + 2ab + b2

Calculation:

k + k-1= -2

⇒ k2 + 1 = - 2k

⇒ k2 + 2k + 1 = 0

⇒ (k + 1)2 = 0

So, k = -1

Now,

(k2 + 4k - 2)/(k2 + k - 5) 

= ((-1)2 - 4 - 2)/(1 - 1 - 5) (Putting k = -1)

= (1- 4 - 2 )/( - 5) = -5/-5 = 1