GATE Questions

Q:

A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required?

A. Distance between point A and B.

B. Time taken to travel downstream from B to A.

C. Speed of the stream of water.

A) Only A and B B) Only B and C
C) All are required D) Any one pair of A and B, B and C or C and A is sufficient
 
Answer & Explanation Answer: D) Any one pair of A and B, B and C or C and A is sufficient

Explanation:

Let distance between A & B = d km
Let speed in still water = x kmph
Let speed of current = y kmph

from the given data,
d/x = 2

From A) we get d
From B) we get d/x+y
From C) we get y

 

So, Any one pair of A and B, B and C or C and A is sufficient to give the answer i.e, the speed of upstream.

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Filed Under: Boats and Streams
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7 6514
Q:

Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ?

A) 5.75 kms B) 7.36 kms
C) 8.2 kms D) 6.98 kms
 
Answer & Explanation Answer: B) 7.36 kms

Explanation:

Total running distance in four weeks = (24 x 240) + (4 x 400)

= 5760 + 1600

= 7360 meters

= 7360/1000

=> 7.36 kms

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Filed Under: Time and Distance
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7 6514
Q:

The intersection of a column and a row

A) Cell B) Menu
C) Key D) Field
 
Answer & Explanation Answer: A) Cell

Explanation:

The intersection of a column and a row in a spread sheet is called as a cell or a bon.

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5 6512
Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A) Rs. 1100 B) Rs. 5500
C) Rs. 1400 D) Rs. 4120
 
Answer & Explanation Answer: A) Rs. 1100

Explanation:

Let the sum be Rs.x. Then, 

 

 x1+101002-x=1155

 

x11102-1=1155

 

=> x =5500

 

sum = Rs. 5500.

 

So, S.I = Rs. 5500×5×4100 = 1100

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Filed Under: Compound Interest
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2 6512
Q:

The capacity of a tank is 2400 m3.  A pump can be used both for filling and emptying the tank.  The emptying capacity of the pump is 10 m3/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' m3/min

Then, the filling capacity of the pump will be (F + 10) m3/min

From the given data,

2400F - 2400F+10= 8 2400 F+10-FF(F+10) =8 F2 + 10F - 3000 = 0 F = 50 m3/min

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15 6504
Q:

Solve the Puzzle?

mathpuzzle1525339524.jpg image

Answer

From the assumption and trial and error method,


last three digits sum must leave the same digit as the answer. It is possible only if the answer must be units digit number leaving tens digit as carry.


And the possible 3rd digit is 5. Since 5 + 5 + 5 = 15 


Now, 2nd step is  1 + x + x + x = 5


=> 3x = 4


It is possible with x = 8. 8 + 8 + 8 + 1 = 25 leaving 2 as carry. 


Now, 3rd step is 2 + x + x + x = 5 => x = 1


 


Hence, the three dgits are 1, 8, 5.


185 + 185 + 185 = 555. 

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10 6500
Q:

Why are viruses considered to be nonliving?

A) Viruses have no metabolic activity. B) Viruses don't have any cells, like living organisms.
C) Viruses can't produce new proteins, DNA, or RNA. D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

Viruses are responsible for some of the most dangerous and deadly diseases including influenza, ebola, rabies and smallpox.

Despite their potential to kill, these potent pathogens are in fact considered to be non-living.

 

Reasons:

1. Viruses don't have any cells, like living organisms do. They have protein coats but no organelles or other cellular machinery. Just a little DNA packet.

2. Viruses can't produce new proteins, DNA, or RNA and therefore are unable to reproduce on their own. They need infected cells' machinery to make all of these and produce new virons.

3. Viruses have no metabolic activity. They don't use or convert energy and have no ongoing interior processes. They're basically just inert structures until they impact a potential host cell.

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Filed Under: General Science
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3 6489
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)  2gR  D)  5gR

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  = 5gR.

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Filed Under: Physics
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6 6482