GATE Questions

Q:

Which statement about electrons and atomic orbitals is NOT true?

A) An orbital can contain a minimum of two electrons B) An electron has the same amount of energy in all orbitals
C) An atom’s lowest energy level has only two orbitals D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

Yes, all the given statements are NOT true about electrons and atomic orbitals.

 

True statements are ::

 

An orbital can contain a maximum of two electrons.

An atom’s lowest energy level has only one orbital.

An electron has different amount of energies in all orbitals.

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Filed Under: Chemistry
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Q:

Karthik walks at 5 km/hr and reaches his destination 8 min late. If he walks at 6 km/hr, he reaches his destination on time. What distance he will cover in given time ?

A) 10 kms B) 8 kms
C) 6 kms D) 4 kms
 
Answer & Explanation Answer: D) 4 kms

Explanation:

Let the actual distance be t kms

Now, According to the data,

 

5t + 860 = 6t=> 560t + 860 = 6t=> 60t + 8 = 72t=> 8 = 12t=> t = 8/12 = 2/3 hrs

 

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.

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Filed Under: Time and Distance
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Q:

What happens during the bootstrap process?

Answer

A bootstrap is the process of starting up a computer. It also refers to the program that initializes the operating system (OS) during start-up.


It referred to a bootstrap load button that was used to initiate a hardwired bootstrap program, or smaller program that executed a larger program such as the OS.

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Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20% B) 24%
C) 21% D) 25%
 
Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x 

Then new price of the car

=> (x) + (×25/100) Rs. 5x/

To restore the original price, the new price must be decreased by

5x/− x/4

So required percentage =(x/4)/(5x/4) × 100%

= 20%

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Filed Under: Percentage
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Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250 B) 751210
C) 362880 D) 907200
 
Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

 

Here T & I letters are repeated

 

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
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Q:

On Rs. 3500 invested at a simple interest rate of 7 per cent per annum, Rs. 500 is obtained as interest in certain years. In order to earn Rs. 800 as interest on Rs. 4900 in the same number of years, what should be the rate of simple interest?

A) 8% B) 7.5%
C) 9% D) 8.5%
 
Answer & Explanation Answer: A) 8%

Explanation:

From the given data,

3500x7xt/100 = 500

=> t = 100/49 years

Now, in the second case

The interest per year = 49/100 x 800 = 392

 => 4900 x 1 x r/100 = 392

=> r = 8%

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Filed Under: Simple Interest
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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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Filed Under: English
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Q:

The price of commodity X increases by 60 rupees every year, while the price of commodity Y increases by 20 rupees every year. If in 2002, the price of commodity X was Rs. 320 and that of Y was Rs. 740, in which year commodity X will cost 60 rupees more than the commodity Y ?

A) 2011 B) 2014
C) 2012 D) 2017
 
Answer & Explanation Answer: B) 2014

Explanation:

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60
=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

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Filed Under: Arithmetical Reasoning
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