SarkariPYQ

SSC CGL 2018 PYQ — Question 93

SSC CGL Tier II Quant - 21/02/2018 • Quantitative Aptitude • Q93

Back to paper

If A = 232, B = 231 + 230 + 229 + … + 2o and C = 315 + 314 + 313 + … + 3o , then which of the following option is TRUE?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3, i.e. A > B > C

A = 232

B = 231 + 230 + 229 + … + 2o = 2o(231 - 1)/(2-1) = (232 - 1)

C = 3o + 31 + .........315 = 3o(315  - 1)/(3-2) = (316  - 1)/2

so, A > B > C