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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 16 of 82 pages
Question 151. A school room is be built to accommodate 70 children so as to allow 2.2 m2 of floor and 11 m3 of space for each child. If the room be 14 metres long, what must be its breadth and height ?
  1.    11 m, 4 m
  2.    11 m, 5 m
  3.    12 m, 5.5 m
  4.    13 m, 6 m
 Discuss Question
Answer: Option B. -> 11 m, 5 m
Question 152. A rectangular water tank is open at the top. Its capacity is 24 m3. Its length and breadth are 4 m and 3 m respectively. Ignoring the thickness of the material used for building the tank, the total cost of painting the inner and outer surface of the tank at the rate of Rs. 10 per m2 is :
  1.    Rs. 400
  2.    Rs. 500
  3.    Rs. 600
  4.    Rs. 800
 Discuss Question
Answer: Option D. -> Rs. 800
Question 153. A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu.m, how many men are there in the bath ?
  1.    32
  2.    36
  3.    42
  4.    46
 Discuss Question
Answer: Option B. -> 36
Question 154. 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 :
  1.    90 cm
  2.    1 dm
  3.    1 m
  4.    1.1 m
 Discuss Question
Answer: Option B. -> 1 dm
Question 155. How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m × 22.5 cm ?
  1.    5600
  2.    6000
  3.    6400
  4.    7200
 Discuss Question
Answer: Option C. -> 6400
Question 156. A solid cube just gets completely immersed in water when a 0.2 kg mass is placed on it. If the mass is removed, the cube is 2 cm above the water level. What is the length of each side of the cube ?
  1.    6 cm
  2.    8 cm
  3.    10 cm
  4.    12 cm
 Discuss Question
Answer: Option C. -> 10 cm
Question 157. The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is :
  1.    5.2 cm
  2.    5.5 cm
  3.    11 cm
  4.    22 cm
 Discuss Question
Answer: Option B. -> 5.5 cm
Question 158. If two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio if their radii is :
  1.    $$\sqrt 6 :\sqrt 3 $$
  2.    $$\sqrt 5 :\sqrt 3 $$
  3.    $$2 : 3 $$
  4.    $$\sqrt 3 :\sqrt 2 $$
 Discuss Question
Answer: Option D. -> $$\sqrt 3 :\sqrt 2 $$
Question 159. A cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remaining portion ?
  1.    $$\frac{7}{8}$$ of the weight of the original cube
  2.    $$\frac{8}{9}$$ of the weight of the original cube
  3.    $$\frac{63}{64}$$ of the weight of the original cube
  4.    $$\frac{511}{512}$$ of the weight of the original cube
 Discuss Question
Answer: Option D. -> $$\frac{511}{512}$$ of the weight of the original cube
Question 160. Capacity of a cylindrical vessel is 25.872 litres. If the height of the cylinder is three times the radius of its base, what is the area of the base ?
  1.    336 cm2
  2.    616 cm2
  3.    1232 cm2
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option B. -> 616 cm2

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