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SSC CGL 2020 PYQ — Question 33

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q33

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If 1X+1y+2z+14=2979\frac{1}{X + \frac{1}{y + \frac{2}{z+\frac{1}{4}}}}= \frac{29}{79}, where x, y and z are natural numbers, then the value of (2x + 3y - z) is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 2.

On Solving the RHS first we get,

29/79 ⇒17929⇒ \frac{1}{\frac{79}{29}}

29/79 = 12+2129\frac{1}{2 + \frac{21}{29}}

29/79 = 12+12129\frac{1}{2 + \frac{1}{\frac{21}{29}}}

 29/79 = 12+11+821\frac{1}{2 + \frac{1}{1 + \frac{8}{21}}}

  29/79 = 12+11+2214\frac{1}{2 + \frac{1}{1 + \frac{2}{\frac{21}{4}}}}

  29/79 = 12+11+25+14\frac{1}{2 + \frac{1}{1 + \frac{2}{5 + \frac{1}{4}}}} 

On comparing with the LHS we get,

x = 2, y = 1 and z = 5.

(2x + 3y - z) = 2 × 2 + 3 × 1 - 5 = 2.