Two ci rc les of radi i 4 cm and 9 cm
respectively touch each other externally at
a point and a common tangent touches
them at the points P and Q respectively.
Then the area of a square with one side
PQ, is –

The population of a town is 15000. If the
number of males increases by 8% and that
of females by 10%, then the population would
increase to 16300. Find the number of
females in the town.

A thief is noticed by a policeman from a
distance of 200 m. Then thief starts running
and the policeman chases him. The thief
and the policeman run at the rate of 10 km
and 11 km per hour respectively. The
distance (in metres) between them after 6
minutes is –

The average age of four boys, five years ago
was 9 years. On including a new boy, the
present average age of all the five is 15
years. The present age of the new boy is –

ATQ,
Five year ago, average age of 4 boys
= 9 years
The present average age of 4 boys
= 9 + 5 = 14 years
So, the age of new boy = (15 + 4 × 1) years
= (15 + 4) years
= 19 years

The cost of a piece of diamond varies with
the square of its weight. A diamond of
` 5,184 value is cut into 3 pieces whose
weights are in the ratio 1 : 2 : 3. Find the
loss involved in the cutting.