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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 11 of 82 pages
Question 101. The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of wood is :
  1.    19404 dm3
  2.    194.04 dm3
  3.    19.404 dm3
  4.    1940.4 dm3
 Discuss Question
Answer: Option C. -> 19.404 dm3
Question 102. The ratio of the volume of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is :
  1.    1 : 2
  2.    2 : 3
  3.    3 : 4
  4.    4 : 5
 Discuss Question
Answer: Option B. -> 2 : 3
Question 103. If the diameter of a sphere is 6 m, its hemisphere will have a volume of :
  1.    $$18\pi $$ m3
  2.    $$36\pi $$ m3
  3.    $$72\pi $$ m3
  4.    None of these
 Discuss Question
Answer: Option A. -> $$18\pi $$ m3
Question 104. The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is :
  1.    15$$\sqrt 3 $$ m
  2.    15 m
  3.    10$$\sqrt 2 $$ m
  4.    5$$\sqrt 3 $$ m
 Discuss Question
Answer: Option B. -> 15 m
Question 105. The sum of the radius and the height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, what is the volume of the cylinder ?
  1.    3080 m3
  2.    2940 m3
  3.    3220 m3
  4.    2660 m3
  5.    2800 m3
 Discuss Question
Answer: Option A. -> 3080 m3
Question 106. Given that 1 cu. cm of marble weights 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is :
  1.    26.5 cm
  2.    32 cm
  3.    36 cm
  4.    37.5 cm
 Discuss Question
Answer: Option B. -> 32 cm
Question 107. An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimension 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is :
  1.    148 cm2
  2.    284 cm2
  3.    316 cm2
  4.    460 cm2
 Discuss Question
Answer: Option B. -> 284 cm2
Question 108. V1, V2, V3 and V4 are the volumes of four cubes of side lengths x cm, 2x cm, 3x cm and 4 cm respectively. Some statements regarding these volumes are given below :
(i) V1 + V2 + 2V3 < V4
(ii) V1 + 4V2 + V3 < V4
(iii) 2(V1 + V3) + V2 = V4
Which of these statements area correct ?
  1.    1 and 2
  2.    2 and 3
  3.    1 and 3
  4.    1, 2 and 3
 Discuss Question
Answer: Option D. -> 1, 2 and 3
Question 109. A circular well with a diameter of 2 metres, is dug to a depth of 14 metres. What is the volume of the earth dug out ?
  1.    32 m3
  2.    36 m3
  3.    40 m3
  4.    44 m3
 Discuss Question
Answer: Option D. -> 44 m3
Question 110. The number of circular pipes with an inside diameter of 1 inch which will carry the same amount of water as a pipe with an inside diameter of 6 inches is :
  1.    $$6\pi $$
  2.    $$12$$
  3.    $$36$$
  4.    $$36\pi $$
 Discuss Question
Answer: Option C. -> $$36$$

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