GATE Questions

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:

A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ?

A) 6.24 sec B) 6.58 sec
C) 7.325 sec D) 7.65 sec
 
Answer & Explanation Answer: D) 7.65 sec

Explanation:

Here total distance = 154 + 101 = 255 mts
Given speed = 120 kmph = 120x5/18 m/sec
Hence, Time = d/s = 255x18/120x5 = 7.65 sec

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Filed Under: Problems on Trains
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8 5651
Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5! B) 6!
C) 4! D) Can't determine
 
Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Filed Under: Permutations and Combinations
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6 5651
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 5649
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 5627
Q:

Elisa test is employed to diagnose

A) HIV B) Cancer
C) Tuberculosis D) Polio
 
Answer & Explanation Answer: A) HIV

Explanation:

ELISA - Enzyme-Linked Immuno Sorbent Assay.

test11528447143.jpg image

 

An ELISA test may be used to diagnose: HIV, which causes AIDS.

 

An ELISA also called EIA, is a test that detects and measures antibodies in your blood. Antibodies are proteins that your body produces in response to harmful substances called antigens.

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8 5619
Q:

What lives in the winter dies in the summer?

A) Plants B) Animals
C) Icycle D) None of the above
 
Answer & Explanation Answer: C) Icycle

Explanation:

An icycle, a hanging spike of ice formed by the freezing of dripping water forms due to cool in winter and dies in summer due to hot.

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4 5618
Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs B) 47 yrs
C) 45 yrs D) 42 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

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Filed Under: Problems on Ages
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4 5617