29
Q:

# The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

 A) 2520 B) 2420 C) 2320 D) 2620

Explanation:

We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m

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:

0 174
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:

0 130
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:

1 103
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:

0 287
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

Explanation:

0 199
Q:

Sides AB and DC of cyclic quadrilateral ABCD are produced to meet at E, and sides AD and BC are produced to meet at F. If $∠BAD=102°and∠BEC=38°$ then the difference between  is:

 A) 21^\circ B) 31^\circ C) 22^\circ D) 23^\circ

Explanation:

0 173
Q:

D is the midpoint of side BC of .$∆ABC$ Point E lies on AC such that $CE=13AC$ . BE and AD intersect at G. What is $AGGD$?

 A) 5 : 2 B) 8 : 3 C) 3 : 1 D) 4 : 1

Explanation:

0 146
Q:

The area of the four walls of a room having length 6 m, breadth 4 m and height 4 m, is:

 A)  50 sq.m B) 60 sq.m C) 40 sq.m D) 80 sq.m