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SSC CGL 2023 PYQ — Question 62

SSC CGL - 24 July 2023 - Shift 1 • Quantitative Aptitude • Q62

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What is the value of the given expression?

 4a+4−5×4a+215×4a−22×4a\frac{4^{a+4}-5\times4^{a+2}}{15\times 4^a-2^2\times4^a}

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 16.

⇒ 4a+4−5×4a+215×4a−22×4a\frac{4^{a+4}-5\times4^{a+2}}{15\times 4^a-2^2\times4^a}

⇒ 4a(44−5×42)4a(15−22){4^a({4^4-5\times4^2)}}\over{4^a({15-2^2)}}

⇒ 44−5×4215−22{{4^4-5\times4^2}}\over{{15-2^2}}

⇒​​​​​​​ 256−8015−4{256 - 80} \over15-4

⇒​​​​​​​​​​​​​​ 17611=16{176\over11} = 16