Question: A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by :
A.$$10\frac{1}{2}{\text{ cm}}$$
B.$$11\frac{3}{7}{\text{ cm}}$$
C.$$12\frac{6}{7}{\text{ cm}}$$
D.$$14{\text{ cm}}$$
Answer: Option B

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Question 1. The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is $$301\frac{5}{7}$$ cm3, what is its slant height ?
  1.    8 cm
  2.    9 cm
  3.    10 cm
  4.    12 cm
Answer: Option C
Question 2. A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. The area of the canvas required for the tent is :
  1.    1300 m2
  2.    1310 m2
  3.    1320 m2
  4.    1330 m2
Answer: Option C
Question 3. The dimensions of a certain machine are 48" × 30" × 52". If the size of the machine is increased proportionately until the sum of its dimensions equal 156", what will be the increase in the shortest side ?
  1.    4"
  2.    6"
  3.    8"
  4.    9"
Answer: Option B
Question 4. The truck of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the truck is trimmed just enough to reduce it to a rectangular parallelopiped on a square base is :
  1.    44 m3
  2.    45 m3
  3.    46 m3
  4.    47 m3
Answer: Option A
Question 5. A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at Rs. 3 per sq.meter :
  1.    Rs. 1465
  2.    Rs. 1475
  3.    Rs. 1485
  4.    Rs. 1495
Answer: Option C
Question 6. A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is :
  1.    24 cm2
  2.    96 cm2
  3.    384 cm2
  4.    None of these
Answer: Option D

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