Quantitative Aptitude
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Question 11
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Correct Answer: Option C
Number of bricks
| = | Volume of the wall | = |  |
800 x 600 x 22.5 |  |
| Volume of 1 brick | 25 x 11.25 x 6 | ||||
Question 12
What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?
Correct Answer: Option C
h = 14 cm, r = 7 cm.
So, l = (7)2 + (14)2 = 245 = 75 cm.
Total surface area
=  rl + r2 |
||||||||||
|
||||||||||
| = [154(5 + 1)] cm2 | ||||||||||
| = (154 x 3.236) cm2 | ||||||||||
| = 498.35 cm2. |
Question 13
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
Correct Answer: Option B
| r2h |
= | 924 |  r = |
|
924 | x 2 | |
= 7 m. |
| 2rh |
264 | 264 |
| And, 2rh = 264 h = |
|
264 x | 7 | x | 1 | x | 1 | |
| 22 | 2 | 7 | ||||||
| = 6m. |
| Required ratio = |
2r | = | 14 | = 7 : 3. |
| h | 6 |
Question 14
A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?
Correct Answer: Option C
Volume of the large cube = (33 + 43 + 53) = 216 cm3.
Let the edge of the large cube be a.
So, a3 = 216 a = 6 cm.
| Required ratio = |
|
6 x (32 + 42 + 52) | |
= | 50 |
| 6 x 62 | 36 | ||||
= 25 : 18. |
Question 15
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
Correct Answer: Option B
Let the thickness of the bottom be x cm.
Then, [(330 - 10) x (260 - 10) x (110 - x)] = 8000 x 1000
320 x 250 x (110 - x) = 8000 x 1000
| (110 - x) = |
8000 x 1000 | = 100 |
| 320 x 250 |
x = 10 cm = 1 dm.