SSC CGL 2022 PYQ — Question 87

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q87

The value of 11.4ˉ+22.567ˉ−33.59ˉ11.\bar{4}+22.5\bar{67}-33.5\bar{9} is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 0.412ˉ0.4\bar{12}

11.4ˉ11.\bar{4} = (114 - 11)/9 = 103/9.

22.567ˉ22.5\bar{67} = (22567 - 225)/990 = 22342/990.

33.59ˉ33.5\bar{9} = (3359 - 335)90.

⇒ 103/9 + 22342/990 - 3024/90

⇒ 408/990 = 0.412ˉ0.4\bar{12}