128
Q:

# The diagonal of a rectangle is $41$ cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

 A) 18 B) 28 C) 38 D) 48

Explanation:

$l2+b2=41$ (or)   $l2+b2=41$

Also, $lb=20$

$l+b2=l2+b2+2lb$  = 41 + 40 = 81

(l + b) = 9.

Perimeter = 2(l + b) = 18 cm.

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:

0 199
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:

0 142
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:

1 105
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

Answer & Explanation Answer: B) ₹ 4,500

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

Answer & Explanation Answer: D) 2(a + b)^2

Explanation:

0 201
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:

0 176
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

Answer & Explanation Answer: D) 4 : 1

Explanation:

0 152
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

Answer & Explanation Answer: D) 80 sq.m

Explanation: