GATE Questions

Q:

Water is a compound because it?

A) it contains two different elements joined by chemical bond B) it contains hydrogen & oxygen
C) it exists as solid, liquid or gas D) it cannot be split up into simpler substances by chemicals means
 
Answer & Explanation Answer: A) it contains two different elements joined by chemical bond

Explanation:

We know that All compounds are molecules, but not all molecules are compounds.

Water is a molecule because it is made from atoms that have been chemically combined. It is also a compound because the atoms that make water are not all the same - some are oxygen and some are hydrogen.

 

Hence, Water is a molecule and a compound.

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Filed Under: General Science
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7 5530
Q:

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?

A) 900 mts B) 300 mts
C) 250 mts D) 500 mts
 
Answer & Explanation Answer: D) 500 mts

Explanation:

Using pythagarous theorem,
distance travelled by first train = 36x5/18x30 = 300m
distance travelled by second train = 48x5/18x30 = 400m
so distance between them =√( 90000 + 160000) = √250000 = 500mts.

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Filed Under: Time and Distance
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8 5528
Q:

Solve this logical Math puzzle?

logical_thinking_puzzle1536132282.jpg image

Answer

Let that something be 'x'


From the given data,


x + x/5 = 21


5x + x/5 = 21


6x = 21 x 5


=> x = 17.5


 


Hence, that something is x = 17.5.

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8 5526
Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M B) N & K
C) K & L D) P & Q
 
Answer & Explanation Answer: C) K & L

Explanation:

Monday          - N  - Yellow

Tuesday         - L  - White

Wednesday    - O  - Red

Thursday       - Q  - Orange

Friday           - M  - Blue

Saturday       - P  - Grey

Sunday         - K  - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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Filed Under: Deriving Conclusions From Passages
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12 5517
Q:

What is the value of 100P2 ?

A) 10000 B) 9900
C) 8900 D) 7900
 
Answer & Explanation Answer: B) 9900

Explanation:

Here in 100P2, P says that permutations and is defined as in how many ways 2 objects can be selected from 100 and can be arranged.

 

That can be done as,

 

100 P2  = 100!/(100 - 2)!

= 100 x 99 x 98!/98!

= 100 x 99 

= 9900.

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Filed Under: Permutations and Combinations
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7 5516
Q:

A certain job was assigned to a group of women to do it in 20 days. But 12 women did not turn up for the job and the remaining did the job in 32 days. The original number of women in the group was?

A) 36 B) 32
C) 22 D) 28
 
Answer & Explanation Answer: B) 32

Explanation:

Let the total women in the group be 'W'

Then according to the given data,

 W x 20 = (W-12) x 32

 => W = 32 

Therefore, the total number of women in the group = 32

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Filed Under: Time and Work
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7 5514
Q:

Although glory but not at my best. Power will fall to me when the man who made me dies. What am I?

Answer

PRINCE.

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19 5508
Q:

Light : Blind

A) Tongue : Sound B) Voice : Vibration
C) Language : Deaf D) Speech : Dumb
 
Answer & Explanation Answer: D) Speech : Dumb

Explanation:

Here the two pair of words related in such a way that, a blind can't see the light. Similarly, a dumb cannot speech.

 

Hence, Light : Blind :: Speech : Dumb.

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Filed Under: Analogy
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7 5505