GATE Questions

Q:

A man sell 35 waffers for Rs. 15 each and loses Rs. 40.4. If he sells 35 waffers for Rs. 18, how much does he loss or gain ?

A) Rs. 64 B) Rs. 52
C) Rs. 72 D) Rs. 55
 
Answer & Explanation Answer: A) Rs. 64

Explanation:

Given Loss = Rs. 40.4
We know loss = cost price - selling price
40.4 = CP - 35(15)
=> CP = 40.4 + 525
=> CP = Rs. 565.4
Now the New selling price of waffer is Rs. 18
=> SP = 35(18) = 630
Now Gain = SP - CP = 630 -565.4 = Rs. 64.6.

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Filed Under: Profit and Loss
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5 3962
Q:

"Light years" is the unit of _____?

A) Acceleration B) Distance
C) Light Intensity D) Weight
 
Answer & Explanation Answer: B) Distance

Explanation:

A Light-year is a distance that light travels in the vacuum in one Julian year (365.25 days).

The light-year is a unit of length used to express astronomical distances. It is about 9.5 trillion kilometers or 5.9 trillion miles. 

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Filed Under: Physics
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11 3960
Q:

How many feet are in a meter?

A) 3.214 B) 3.28084
C) 3.2516 D) 3.21456
 
Answer & Explanation Answer: B) 3.28084

Explanation:

We know that, 

1 meter = 100 cms. 

=> 1 meter = 3.28084 feet.

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Filed Under: Arithmetical Reasoning
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14 3952
Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days B) 15 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

 

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
n2 + 39n - 550 = 0
 n2+ 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Filed Under: Arithmetical Reasoning
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2 3952
Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

A) Rs. 364 B) Rs. 432
C) Rs. 498 D) Rs. 554
 
Answer & Explanation Answer: B) Rs. 432

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = 2 x 5400 x 4100 = 432

 

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

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Filed Under: Simple Interest
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2 3949
Q:

Correct the mistakes in the following sentences.

1. He are very happy.

2. We gonna get a new dog.

3. It taste sweet.

4. He like cats.

5. Me favourite coler is blue.

Answer

In the above given sentences, there are some english grammatical and spelling mistakes. They are ::


 


1. He are very happy -------> He is very happy


 


2. We gonna get a new dog ------> We are going to get a new dog


 


3. It taste sweet  -------> It tastes sweet


 


4. He like cats -------> He likes cats


 


5. Me favourite coler is blue -------> My favourite color is blue

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4 3948
Q:

Which formula represents a nonpolar molecule?

A) H2O B) CF4
C) HCl D) H2S
 
Answer & Explanation Answer: B) CF4

Explanation:

You have to consider three things.

1. First, are the bonds polar?

Look at differences in electronegativity and if  it is >0.5, bonds are polar.

 

2. Second, does the molecule have unshared electron pairs?

If so, they generally lead to a polar molecule.

 

3. Third, is the molecule symmetric?

If so, then although the bonds may be polar, the symmetry cancels out the individual bond polarity and the molecule is non polar.

CF4 follows all the rules above and has a symmetric distribution of charge, making it nonpolar. The others all have asymmetric charge distributions.

 

Hence, CF4 represents a Non-polar molecule.

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Filed Under: Chemistry
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1 3947
Q:

Lens is made up of which glass

A) Ordinary glass B) Pyrex glass
C) Flint glass D) Cobalt glass
 
Answer & Explanation Answer: C) Flint glass

Explanation:
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Filed Under: Physics
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9 3940