GATE Questions

Q:

Shamma lends Rs.40,000 to two of her friends. She gives Rs.24,000 to the first at 8% p.a. simple interest. Shamma wants to make a profit of 10% on the whole. The simple interest rate at which she should lend the remaining sum of money to the second friend is:

A) 13% B) 8.5%
C) 9.5% D) 11.25%
 
Answer & Explanation Answer: A) 13%

Explanation:

The ratio of money she lended is

24000 : 16000 = 3 : 2

Let the rate of interest be R%

 

8%                   R%
     

           10

 

3          :           2

 

R = 13%.

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Filed Under: Profit and Loss
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Q:

Can you Solve the Problem ?

SOLVE1500443612.jpg image

Answer

Let the two digits be x & y


From given data in the question, we get


x + y = 3(x - y)


x + y = 3x - 3y


=> 2x = 4y


x/y = 2/1


For having the 2:1, numbers satisfying are


12, 21, 24, 42, 36, 63, 48, 84


From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.


Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

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Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64 B) 84
C) 56 D) 20
 
Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

 

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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Filed Under: Probability
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14 4739
Q:

Rolling friction is caused by ____ from the following?

A) Non-elastic effects B) Gravity
C) Power dissipation D) Buoyancy
 
Answer & Explanation Answer: A) Non-elastic effects

Explanation:

Rolling friction or rolling drag is the force resisting the motion when a body rolls on a surface. It is mainly caused by non-elastic effects, that is, not all the energy needed for deformation of the wheel, roadbed, etc... is recovered when the pressure is removed.

Another cause of rolling resistance lies in the slippage between the wheel and the surface, which dissipates energy.

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Filed Under: Physics
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Q:

Second generation computers were developed during

A) 1956 - 1963 B) 1970 - 1975
C) 1975 - 1980 D) 1990 - 2000
 
Answer & Explanation Answer: A) 1956 - 1963

Explanation:

Second generation computers were developed during 1956 - 1963.

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Filed Under: Computer
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3 4722
Q:

What is 15 of 80 with simple method and examples?

A) 12.5% B) 18.75%
C) 16.55% D) 17.80%
 
Answer & Explanation Answer: B) 18.75%

Explanation:

Given that to find 15 of 80

=> What % of 80 is 15

Let it be 'p'

=> p% of 80 = 15

=> p x 80100 = 15p = 15 x 10080p = 150080 = 18.75

 

Therefore, 15 is 18.75% of 80 => 18.75% of 80 = 15

 

Example::

Now, in the similar way we can find 15% of 80 =?

=> 15x80/100 = p

=> p = 4 x 3 = 12

 

Therefore, 15% of 80 = 12

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Filed Under: Percentage
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Q:

Ahinav Bindra is associated with which game?

A) Badminton B) Shooting
C) Golf D) Swimming
 
Answer & Explanation Answer: B) Shooting

Explanation:

Abhinav Bindra is an Indian professional shooter who is the world and Olympic champion in the 10 m air rifle event.

Abhinav Bindra thinks sports in India need investment

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Filed Under: Sports
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10 4719
Q:

Which of the following gases is present under pressure in soft drinks?

A) Nitrous oxide B) Oxygen
C) Nitrogen D) Carbon dioxide
 
Answer & Explanation Answer: D) Carbon dioxide

Explanation:

Carbon dioxide is present under pressure in soft drinks.

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Filed Under: Chemistry
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