OverviewExercise"Act well your part; there all honor lies."
- Alexander Pope
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| 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?
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Answer: Option C
Explanation:
| Other side |
= |
| ft |
|
= |
|
ft |
|
= |
|
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:
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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 |
|
|
|
| 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?
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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:
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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?
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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 |
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