GATE Questions

Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929 B) 59049
C) 15120 D) 0
 
Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = 95

 

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = 9P5

 

Number of words can be formed which have at least one letter repeated =  95 - 9P5

 

= 59049 - 15120

 

= 43929

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Filed Under: Permutations and Combinations
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11 5782
Q:

A line is an undefined term because it

Answer

A line is an undefined term because of it :


 


1. Contains an infinite number of points


2. can be used to create other geometric shapes


3. is a term that does not have a formal definition


 


In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.

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Q:

Raghu can do a job in 12 days alone and Sam can do the same job in 15 days alone. A third person Aru whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

A) 10 B) 12
C) 13 D) 15
 
Answer & Explanation Answer: A) 10

Explanation:

One day work of Raghu and Sam together = 1/12 + 1/15 = 9/60 = 3/20

Aru efficiency = 2/3 of (Raghu + Sam)

Number of days required for Aru to do thw work alone = 3/2 x 20/3 = 10 days. 

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Filed Under: Time and Work
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9 5768
Q:

Which of the following is true of a scientific theory?

A) It is only accepted after the person who came up with it has died. B) It is a method or device that applies scientific knowledge for some specific purpose.
C) It generates testable hypotheses, is supported by a large body of evidence, and is broad in scope. D) It must demonstrate the effect of one variable by testing control groups and experimental groups.
 
Answer & Explanation Answer: C) It generates testable hypotheses, is supported by a large body of evidence, and is broad in scope.

Explanation:

A scientific theory is a well-substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment. Such fact-supported theories are not "guesses" but reliable accounts of the real world. Scientific theories are not ever proved in the sense of being proved to be 100% correct.

 

Examples of some scientific theories are ::

Evolution, gravity, atomic theory, the germ theory of disease, relativity, quantum theory, electromagnetic theory, layered Earth theory, etc...

 

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Filed Under: General Science
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0 5765
Q:

Which of the following is an example of a simile?

A) Clouds of vanilla cotton candy floated in the sky. B) His stomach rumbled like an approaching train.
C) She was drowning in a sea of grief. D) He was a hurricane in her heart.
 
Answer & Explanation Answer: B) His stomach rumbled like an approaching train.

Explanation:

In the given options, "His stomach rumbled like an approaching train" is an example of Simile.

All the other options are examples of metaphors. 

 

Simile and Metaphor are both figure of speeches in English which are used for comparing things but the only difference is Simile uses LIKE or AS words in comparing and metaphor directly compares without using any words.

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Filed Under: English
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4 5758
Q:

If the boat goes 7 kms upstream in 42 min and speed of the stream is 3 kmph, then the speed of the boat in still water ?

A) 14 kmph B) 13 kmph
C) 12 kmph D) 11 kmph
 
Answer & Explanation Answer: B) 13 kmph

Explanation:

Given that, upstream distance = 7 kms

Upstream speed = 7/42 x 60 = 10 kms

Speed of the stream = 3 kmph

Let speed in still water = M kmph, then

Upstream speed = M - 3 = 10

=> M = 13 kmph.

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Filed Under: Boats and Streams
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10 5758
Q:

Inflection best relates to

A) Tone B) Volume
C) Pace D) Vocabulary
 
Answer & Explanation Answer: A) Tone

Explanation:

Inflection most often refers to the pitch and tone patterns in a person's speech that is where the voice rises and falls.

 

Hence, Inflection best relates to Tone.

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Filed Under: Analogy
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4 5750
Q:

Artist is to painting as senator is to

A) politician B) constituents
C) attorney D) law
 
Answer & Explanation Answer: D) law

Explanation:

As we know that an artist makes paintings, similarly, a senator makes laws.

 

Hence, Artist : Painting :: Senator : Law.

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Filed Under: Analogy
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5 5739