GATE Questions

Q:

The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number ?

A) 57 B) 75
C) 48 D) 39
 
Answer & Explanation Answer: D) 39

Explanation:

Let the two-digit number be 10a + b
a + b = 12 --- (1)
If a>b, a - b = 6
If b>a, b - a = 6
If a - b = 6, adding it to equation (1), we get
2a = 18 => a =9
so b = 12 - a = 3
Number would be 93.
if b - a = 6, adding it to the equation (1), we get
2b = 18 => b = 9
a = 12 - b = 3.
Number would be 39.
There fore, Number would be 39 or 93.

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Filed Under: Problems on Numbers
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Q:

Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?

A) 96 days B) 48 days
C) 24 days D) 12 days
 
Answer & Explanation Answer: A) 96 days

Explanation:

Let number of days Charan can do the same work alone is 'd' days.

According to the given data,

512 + 716 + 14d = 114d = 1 - 20 + 214814d = 48 - 4148d = 14 x 487d = 96 days

 

Therefore, Charan alone can complete the work in 96 days.

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Filed Under: Time and Work
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Q:

Unresolved dissonance is a characteristic of

Answer

When the tension is unresolved, we have unresolved dissonance. Unresolved dissonance is a characteristic of the baroque music.


The general characteristics of Baroque music is movement, energy, and tension.

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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:

DNA can be found in what Organelles?

A) Chloroplasts and Mitichondria B) Nucleus and Ribosomes
C) Ribosomes and Mitochondria D) Endoplasmic Reticulum and Nucleus
 
Answer & Explanation Answer: A) Chloroplasts and Mitichondria

Explanation:

DNA can be found in 3 Organelles namely Nucleus, Mitochondria in animals and Chloroplasts in plants.

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Filed Under: Biology
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Q:

What has Hands But cannot Clap?

A) Toy B) Clock
C) Bag D) Shirt
 
Answer & Explanation Answer: B) Clock

Explanation:

What has Hands But cannot Clap is a Clock or a Watch.

A Clock technically has 3 hands.

1 Hour Hand Which tells Hours

1 Minute Hand Which tells Minutes

1 Second Hand Which tells Seconds.

But cannot clap with these hands.

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Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23 B) 432
C) 22 D) 431
 
Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

 

C19+C18+C16 = 23 will be answer.

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Filed Under: Permutations and Combinations
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Q:

Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete.

The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses.

A) Caught, impact B) Caught, effect
C) Fetched, affect D) Fetching, impact
 
Answer & Explanation Answer: A) Caught, impact

Explanation:

Caught - according to the sentence given caught means to become involved in something, often without wanting to.

Impasse - means a situation in which further development is impossible.

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Filed Under: Logical Sequence of Words
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