GATE Questions and Answers with Explanation

Q:

That which cannot be seen -

A) Invisible	B) Unseen
C) Intangible	D) All of the above

Answer & Explanation Answer: A) Invisible

Explanation:

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Q:

The capacity of a tank is 2400 $m^{3}$ . A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 $m^{3}$ /minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.

A) 46 cub.m/min	B) 44 cub.m/min
C) 48 cub.m/min	D) 50 cub.m/min

Answer & Explanation Answer: D) 50 cub.m/min

Explanation:

Let filling capacity of the pump be 'F' $m^{3} / \min$

Then, the filling capacity of the pump will be (F + 10) $m^{3} / \min$

From the given data,

$\frac{2400}{F} - \frac{2400}{F + 10} = 8 \Rightarrow 2400 [\frac{F + 10 - F}{F (F + 10)}] = 8 \Rightarrow F^{2} + 10 F - 3000 = 0 \Rightarrow F = 50 m^{3} / \min$

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Filed Under: Pipes and Cistern
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Q:

What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop?

A) 0 B) gR C) $\sqrt{2} g R$ D) $\sqrt{5 g R}$

A) A	B) B
C) C	D) D

Answer & Explanation Answer: D) D

Explanation:

To complete the vertical loop, the minimum speed required at the lowest point = $\sqrt{5 g R}$ .

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Filed Under: Physics
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Q:

If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ?

A) 1.44 %	B) 2.02 %
C) 1.04 %	D) 2.25 %

Answer & Explanation Answer: D) 2.25 %

Explanation:

SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car.

In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100

= (15)(15)/100 % = 2.25%

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Filed Under: Profit and Loss
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Q:

A by product of involuntary muscle contraction and relaxation is

A) Oxygen	B) Water
C) Heat	D) Nitrogen

Answer & Explanation Answer: C) Heat

Explanation:

A_by_product_of_involuntary_muscle_contraction_and_relaxation_is1537166589.jpg image

When a muscle is contracted and relaxed some amount of heat is released as a by product.

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Q:

Find the one which does not belong to that group ?

A) Architect	B) Blacksmith
C) Sculpture	D) Tailor

Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Q:

K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L?

A) Rs. 13,204	B) Rs. 14,521
C) Rs. 12,800	D) Rs. 15,000

Answer & Explanation Answer: C) Rs. 12,800

Explanation:

Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio.

Ratio of K and L is

$\frac{16000 \times 8}{x \times 4} = \frac{5}{2}$

x = Rs. 12,800.

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Q:

If the boat goes 7 kms upstream in 42 min and speed of the stream is 3 kmph, then the speed of the boat in still water ?

A) 14 kmph	B) 13 kmph
C) 12 kmph	D) 11 kmph

Answer & Explanation Answer: B) 13 kmph

Explanation:

Given that, upstream distance = 7 kms

Upstream speed = 7/42 x 60 = 10 kms

Speed of the stream = 3 kmph

Let speed in still water = M kmph, then

Upstream speed = M - 3 = 10

=> M = 13 kmph.

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