4
Q:

# The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

 A) 153600 B) 143600 C) 13600 D) 16300

Explanation:

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

Length = 480 m and Breadth = 320 m.Area = (480 x 320) sq.m = 153600 sq.m

Q:

If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle (in cm) is

 A) 15 B) 16 C) 17 D) 34

Explanation:

1 76
Q:

In a triangle PQR, PQ = PR and angle Q is twice that of angle P. Then angle Q is equal to

 A) 72 deg B) 36 deg C) 144 deg D) 108 deg

Explanation:

1 68
Q:

If two circles touch each other internally. The greater circle has its radius as 6 cm and the distance between the centres of the circles is 2 cm. The radius of the other circle is

 A) 3 cm B) 4 cm C) 2 cm D) 5 cm

Explanation:

0 80
Q:

The area of a field in the shape of a regular hexagon is 2400√3 sq.m. The cost of fencing the field at Rs. 16.80/metre is:

 A) 4,536 B) 3,024 C) 4,032 D) 3,528

Explanation:

0 295
Q:

Two circles of radii 7 cm and 5 cm intersect each other at A and B, and the distance between their centres is 10 cm. The length (incm) of the common chord AB is:

 A) 3√66/5 B) 4√66/5 C) 2√74/5 D) 3√74/5

Explanation:

2 220
Q:

The chords AB and CD ofa circle intersect at E. IfAE = 12 cm, BE = 20.25 cm and CE = 3 DE,thenthe length (in cm) of CE is:

.

 A) 27 B) 25.5 C) 18 D) 28.5

Explanation:

1 145
Q:

The length and breadth of a rectangular field is in the of ratio 3:2. If the area of the field is 1350 sq.m, then the cost of fencing it at ₹30/m will be:

 A) ₹ 5,680 B) ₹ 4,500 C) ₹ 4,000 D) ₹ 5,240

Explanation:

0 334
Q:

The diagonal of a square A is (a + b) units. What is the area (in square units) of the square drawn on the diagonal of square B whose area is twice the area of A?

 A) (a + b)^2 B) 4(a + b)^2 C) 8(a + b)^2 D) 2(a + b)^2