9) The length of the longest pole that can be placed in a room which is 12 metres long, 9 metres broad and 8 metres high is
(A) 18 m
(B) 17 m
(C) 16 m
(D) 15 m
10) A 7 metre wide road surrounds a circular park. If the circumference of the park is 352 m, the area of the road (in square metres) is
(A) 2518
(B) 2618
(C) 2718
(D) 1872
11) The circumference of a circle is equal to the perimeter of a square. Their areas are in the ratio
(A) 4 : 11
(B) 11 : 7
(C) 14 : 11
(D) 22 : 7
12) The cost of carpeting a room 5 m wide with carpet at Rs. 3.50 per m is Rs. 105. The length of the rooms is
(A) 3.5 m
(B) 5 m
(C) 6 m
(D) 6.5 m
13) How many square shaped handkerchiefs of the maximum area can be made out of a cloth of 1.2 m in length and 96 cm in breadth, without wastage of the cloth?
(A) 20
(B) 24
(C) 28
(D) 48
14) A cube of lead with edges measuring 6 cm each is melted and recasted into 27 equal cubes. The length of the edges of the new cubes is
(A) 2 cm
(B) 4 cm
(C) 6 cm
(D) 1.5 cm
15) The three sides of a triangle measure 6 cm, 8 cm and 10 cm. A rectangle equal in area to that of the triangle has a width of 8 cm. the perimeter of the rectangle is
(A) 11 cm
(B) 22 cm
(C) 16 cm
(D) None of these
16) The length of a ladder exactly equals the height of a wall. If the ladder is placed on a 2 feet tall stool placed 10 feet away from the wall, then its tip just touches the top of the wall. The height of the wall in feet is
(A) 15
(B) 26
(C) 28
(D) 32