6.
The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
A.
5 1
4
B.
13 1
2
C. 27 D. 37
Answer & Explanation
Answer: Option C
Explanation:
Other side =
15 2 – 9 2
2 2
ft
=
225 – 81
4 4
ft
=
144
4
ft
= 6 ft.
Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
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7.
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
A. 10% B. 10.08%
C. 20% D. 28%
Answer & Explanation
Answer: Option D
Explanation:
Let original length = x and original breadth = y.
Decrease in area
= xy – 80 x x 90 y
100 100
= xy – 18 xy
25
= 7 xy.
25
Decrease % = 7 xy x 1 x 100 % = 28%.
25 xy
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8.
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
A. 20 B. 24
C. 30 D. 33
Answer & Explanation
Answer: Option C
Explanation:
Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres.
AC = 2x = (1.41x) m.
Saving on 2x metres = (0.59x) m.
Saving % = 0.59x x 100 % = 30% (approx.)
2x
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9.
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
A. 9 cm B. 18 cm
C. 20 cm D. 41 cm
Answer & Explanation
Answer: Option B
Explanation:
l2 + b2 = 41.
Also, lb = 20.
(l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81
(l + b) = 9.
Perimeter = 2(l + b) = 18 cm.
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10.
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
A. 814 B. 820
C. 840 D. 844
Answer & Explanation
Answer: Option A
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) cm2.
Required number of tiles = 1517 x 902 = 814.
41 x 41