SSC CGL 2018 PYQ — Question 28

SSC CGL Tier II Quant - 20/02/2018 • Quantitative Aptitude • Q28

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O1 and O2 of the two circles?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 5√10

In ΔQRT

QT = 25 cm

QR = 20 cm

= 15 cm

Now, inradius (r) = = 5 cm

and R will be 10 cm

∴ Distance b/w O1 & O2 = 

Distance O1 O2 = 5√10 cm