1. A chess board contains 64 equal squares and the area of each square is 6.25 cm^2. A border around the board is 2 cm wide. Find the length of the side of the chess board.
(A) 20 cm
(B) 24 cm
(C) 22 cm
(D) 18 cm
2. A rectangular garden, the length of which is four times its breadth, has an area of 2 acres 320 sq. yards. Find its length and breadth in the yard respectively.
(A) 200 yards, 50 yards
(B) 240 yards, 60 yards
(C) 80 yards, 20 yards
(D) None of these
3. PR is a tangent at a point Q on a circle, in which O is the centre and its radius is 8 cm. If OR=16 cm and OP=10 cm, then the length of PR is-
(A) 18 cm
(B) 19 cm
(C) 19.8 cm
(D) 21.86 cm
4. The area of a trapezium is 180 cm^2 and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the two parallel sides.
(A) 15 cm, 21 cm
(B) 14 cm, 20 cm
(C) 17 cm, 23 cm
(D) 12 cm, 18 cm
5. The length and breadth of a rectangular field are in the ratio 3 : 2. If the area of the field is 3456 cm^2, find the cost of fencing the field at Rs. 3.50 per cm.
(A) Rs. 800
(B) Rs. 840
(C) Rs. 400
(D) Rs. 480
6. The thickness of a hollow wooden cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. find the volume of the wood required to make the cylinder, assuming it is open at either end.
(A) 5720 cm^2
(B) 5770 cm^2
(C) 7520 cm^2
(D) 5570 cm^2
7. Two concentric circles with centre P have radii 6.5 cm and 3.3 cm. Through a point A of the larger circle, a tangent is drawn to the smaller circle touching it at B and the larger circle at C. Find AC.
(A) 5.6 cm
(B) 11.2 cm
(C) 11.8 cm
(D) 6.5 cm
Note : Answers will be updated soon..........
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