GRE Questions

Q:

I am the first on Earth, the second in Heaven. I appear two times in a week you can only see me once in a year. Although I am in the middle of the sea, l am not found in month, but l am in February, June, September, October, November & December.

Who am I?

Answer

The letter 'E'.


As of the above given data,


It is in the 1st place in Earth, 2nd in Heaven and in the middle of the Sea.


It appears once in a Year and twice in a Week.


It is present in February, June, September, October, November & December.


But not in the Month.


 


Hence, it is the letter 'E'.

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Q:

A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?

A) [7 + (215/345)] days B) [6 + (11/215)] days
C) [6 + (261/315)] days D) [5 + (112/351)] days
 
Answer & Explanation Answer: C) [6 + (261/315)] days

Explanation:

After day 1, A finishes 1/9 of the work.

After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.

After day 3, C finishes 1/5 more of total work. Total finished is 143/315.

So, after day 6, total work finished is 286/315.

 

Now remaining work =  29 /315

 

On day 7, A will work again 

 

Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.

 

Since he takes 9 days to finish the total task, he will need 261/315 of the day. 

 

Total days required is 6 + (261/315) days.

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Filed Under: Time and Work
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6 6482
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 6480
Q:

'BE' is related to 'GJ' in the same way as 'PS' is related to ?

A) VX B) TU
C) UX D) TV
 
Answer & Explanation Answer: C) UX

Explanation:

Each corresponding letter moves five places forward in the alphabet.
Here as BE is related to GJ then PS will relate to UX.

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Filed Under: Alphabet Test
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11 6475
Q:

What do you understand by - 'If K is there L has to be there'

A) K & L will always be together B) K is not there, then L will not be there
C) k is there, then L will also be there D) K & L will always be not together
 
Answer & Explanation Answer: C) k is there, then L will also be there

Explanation:

This would not mean that K and L will always be together. It just implies that, if K is there, then L will also be there.

At the same time, it can happen that L is there but K isn't.

Remember, the condition is on K, not on L.

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Filed Under: Analytical Reasoning
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17 6473
Q:

Wince : Pain :: Prostration : ?

A) Frustration B) Submissiveness
C) Strained D) Discomfiture
 
Answer & Explanation Answer: B) Submissiveness

Explanation:

First is the sigh of the second.

Hence, Wince : Pain :: Prostration :Submissiveness.

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Filed Under: Analogy
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4 6463
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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Q:

A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son?

A) 50 yrs B) 25 yrs
C) 72 yrs D) 40 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.

Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1

Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

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Filed Under: Problems on Ages
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