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SSC CHSL 2023 PYQ — Question 65

SSC CHSL - 10 March 2023 - Shift 3 • Quantitative Aptitude • Q65

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If (15)3+(4)3(152+42−k)=19\frac{(15)^{3}+(4)^{3}}{(15^{2}+4^{2}-k)}=19, then what is the value of K?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 60.

(15)3+(4)3(152+42−k)=19\frac{(15)^{3}+(4)^{3}}{(15^{2}+4^{2}-k)}=19

⇒ 3375+64(225+16−k)=19\frac{3375+64}{(225+16-k)}=19

⇒ 3439(241−k)=19\frac{3439}{(241-k)}=19

⇒ 4579 - 19k = 3439

⇒ 19k = 1140

⇒ k = 1140/19 = 60

Therefore, the value of k is 60.