GATE Questions and Answers with Explanation

Q:

A passenger train covers the distance between station K and L, 40 minutes faster than a goods train. Find this distance between K and L if the average speed of the passenger train is 50 km/h and that of goods train is 30 km/h?

A) 50 kms	B) 48 kms
C) 46 kms	D) 44 kms

Answer & Explanation Answer: A) 50 kms

Explanation:

Let the distance be 'd' kms.

According to the given data,

$\frac{d}{30} - \frac{d}{50} = \frac{40}{60} hrs = > 6 d = 300 = > d = 50 kms .$

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Q:

Heat transfer horizontally within the atmosphere is called

A) Convection	B) Advection
C) Conduction	D) Absorption

Answer & Explanation Answer: B) Advection

Explanation:

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Q:

Raghu can do a job in 12 days alone and Sam can do the same job in 15 days alone. A third person Aru whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

A) 10	B) 12
C) 13	D) 15

Answer & Explanation Answer: A) 10

Explanation:

One day work of Raghu and Sam together = 1/12 + 1/15 = 9/60 = 3/20

Aru efficiency = 2/3 of (Raghu + Sam)

Number of days required for Aru to do thw work alone = 3/2 x 20/3 = 10 days.

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Filed Under: Time and Work
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9 6771

Q:

The construction of Warangal Fort was started by ______ ?

A) Beta - II	B) Rudra
C) Jayapa	D) Prola - II

Answer & Explanation Answer: B) Rudra

Explanation:

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Filed Under: Indian History
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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:

What number should be Replaced ?

19113682_1335002436606857_8814713213200837998_n1499843587.jpg image

A) 15	B) 17
C) 10	D) 6

Answer & Explanation Answer: D) 6

Explanation:

Sum of numbers in the outer circle in before Arc should come in inner circle patterns in the clock wise direction next Arc.

i.e, 9+6 = 15 comes in next arc of inner circle

7+3 = 10 comes in next arc of inner circle

In the same way, 4+2 = 6 comes in place of '?'.

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Filed Under: Logic Puzzles
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Q:

The percentage of irrigated land in India is about

A) 66%	B) 35%
C) 71%	D) 22%

Answer & Explanation Answer: B) 35%

Explanation:

According to World Bank Indicator India - Land use:

Agriculture Land - 1797090 sq. Km (about 60.4%).

Forest Area - 677598 sq. Km. (about 22.08%).

Agriculture Irrigated land - 35 %.

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Filed Under: Indian Geography
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