SSC CGL 2016 PYQ — Question 85

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q85

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

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Correct answer: A

Explanation

The correct answer is option 1

[(x-1)(x+1)]/[(x+1)(x+2)] = 5/6

(x2-1)/(x2+3x+2) = 5/6

x2 - 15x - 16 = 0

(x-16)(x+1) = 0

x = 16