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Q:

# The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -

 A) 3:2 B) 2:3 C) 5:7 D) 7:5

Answer:   B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And,  height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

Q:

Solve the below equation.

 A) 94 B) 65 C) 214 D) 215

Answer & Explanation Answer: C) 214

Explanation:
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0 29
Q:

Which of the following is an example of a metal that needs to be stored under oil?

 A) Potassium B) Gold C) Iron D) Silver

Answer & Explanation Answer: A) Potassium

Explanation:
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0 39
Q:

Pabitra had$1927$ l of petrol in the fuel tank of his vehicle at the start of a journey. During the journey,$1312$ l of petrol was consumed. What fraction of the initial petrol was left in the fuel tank after the journey?

 A) 710 B) 35 C) 310 D) 1140

Answer & Explanation Answer: C) 310

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0 30
Q:

If A lies in third quadrant, and $20tanA=2120 tan A = 21$, then the value of $5sinA-2cosA4cosA-57sinAfrac{5 sin A - 2 cos A}{4 cos A - frac{5}{7} sin A}$

 A) -6529\frac{-65}{29} B) 15\frac{1}{5} C) 529\frac{5}{29} D) 1312\frac{13}{12}

Answer & Explanation Answer: B) 15\frac{1}{5}

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2 44
Q:

The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between greatest number and smallest number is:

 A) 15 B) 21 C) 31 D) 18

Answer & Explanation Answer: B) 21

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0 69
Q:

Two circles of radii 8 cm and 6 cm touch each other externally. The length of the direct common tangent is:

 A) 13.86 B) 20 C) 10.12 D) 24

Answer & Explanation Answer: A) 13.86

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0 80
Q:

Which of the following physical quantities has no unit?

 A) Momentum B) Density C) Pressure D) Relative density

Answer & Explanation Answer: D) Relative density

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0 556
Q:

Satya Pal Malik was appointed as the governor of ....... by President Ram Nath Kovind.

 A) Chhattisgarh B) Bihar C) Odisha D) Jharkhand

Answer & Explanation Answer:

Explanation:
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0 449