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SSC Selection Post 2022 PYQ — Question 75

SSC Selection Post - Matriculation Level 2022 - 2 Feb 2022 - Shift 3 • Quantitative Aptitude • Q75

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Find the value of4p3+14p+6\sqrt{4p^3+14p+6} such that a 6-digit number 602p0p is divisible by 9.

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 24.

Sum of digits = 6 + 0 + 2 + p + 0 + p = 8 + 2p

For divisibility by 9:

8 + 2p = 0, 9

p = 5

=4p3+14p+6=4(125)+14(5)+6=500+70+6=576=24=\sqrt{4p^3 + 14p + 6} \\ = \sqrt{4(125) + 14(5) + 6} \\ = \sqrt{500 + 70 + 6} = \sqrt{576} = 24