SarkariPYQ

SSC GD 2019 PYQ — Question 61

SSC GD Constable (English) - 6 March 2019 Shift 1 • Quantitative Aptitude • Q61

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If a/b = 2/3, then the value of (5a3 - a2b) : (3ab2 - b3) is :

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 28 : 27

Let value of a and b be 2x and 3x respectively

(5a3 - a2b) : (3ab2 - b3)

{5 × (2x)3 - (2x)2 × 3x} : {3 × 2x × (3x)2 - (3x)3}

(5 × 8x3 - 4x2 × 3x) : (3 × 2x × 9x2 - 27x3)

(40x3 - 12x3) : (54x3 - 27x3)

28x3 : 27x3 = 28 : 27