SSC CGL 2016 PYQ — Question 55

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q55

A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is: 

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1.056 cm3

The volume of the material removed = volume of cylinder - volume of cone

= πr2h −13\dfrac{1}{3}πr2h

= 13\dfrac{1}{3}πr2h {r = 1.22\dfrac{1.2}{2}= 0.6, h = 1.4}

= 23\dfrac{2}{3}×227\dfrac{22}{7}× 0.62 × 1.4 = 2 × 22 × 0.2 × 0.2 × 0.6 = 1.056 cm3

Short Tric: 

Answer will be divisible by 11. 

Only option 1 divisible by 11.