GATE Questions

Q:

L is the daughter of K's brother's wife's father-in-law's daughter. K is L's __

A) Son B) Aunt
C) Uncle D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.
L is daughter of K's sister => K is L's Uncle or Aunt.

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Filed Under: Blood Relations
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5 5539
Q:

A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ?

A) 88572 B) 77854
C) 99584 D) 55654
 
Answer & Explanation Answer: A) 88572

Explanation:

Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons = 3 + 32 + 33 + .... + 39 + 310

 

Now it forms a geometric progression,

 

Sum to n terms is S = arn - 1r - 1

 

Here a = 3, r = 3

 
=> 59048 x 3 /2

 

= 88572.

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Filed Under: Simplification
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5 5537
Q:

Sreya bought a plot for Rs. 6,00,000,  then sold half of the plot at 10 % profit and rest at 15% profit. What is the total profit % that Sreya gain? 

A) 13.8 % B) 11.4 %
C) 12.5 % D) 14.5 %
 
Answer & Explanation Answer: C) 12.5 %

Explanation:

10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000

15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000

Now, total profit = 30000 + 45000 = 75000

Profit % = 75000/600000 x 100 = 12.5 %

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Filed Under: Profit and Loss
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15 5535
Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Filed Under: Probability
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12 5534
Q:

P’s son Q is married with R whose sister S is married to T the brother of Q. How S is related to P ?

A) Daughter-in-law B) Sister
C) Cousin D) Sister-in-law
 
Answer & Explanation Answer: A) Daughter-in-law

Explanation:

Since T is the brother of Q
Therefore, P is the father of T
but S is the wife of T.
Hence, S is the daughter-in-law of P.

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Filed Under: Blood Relations
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4 5525
Q:

The gas provider Centrica has seen its half-year profits fall by 20% to £992 million. Despite this it has decided to increase its dividend to shareholders to 3.9p per share. The rise in energy prices released before the announcement of Centrica's profits was designed, said the company, to restore "reasonable profitability". The chief executive, Sam Laidlaw, said, "We produced a good set of results in tough market conditions... we will continue to concentrate on improving customer service in British Gas..." This is an interesting statement given the record rise in prices to households. The announcement of profits which are not far off one billion pounds, a day after the announcement of the rise in price and the increase in dividend to shareholders, is likely to provoke angry reaction. Many will question the extent of the market power that Centrica possesses. There will also be those that will question what the phrase 'reasonable profitability' means in the context of profits of nearly one billion pounds.

Question: 1) Announcing large profits, soon after announcing price rises, is likely to provoke angry reaction.

Question: 2) Companies increase shareholder dividends when profits fall.

Question: 3) One way companies can restore profitability is to increase prices.

Answer

Answer 1) True


Answer 2) Cannot tell


Answer 3) True

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10 5520
Q:

What will be added to the unit digits of the number 86236 so that number will be divisible by 9  ?

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.

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Filed Under: Problems on Numbers
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4 5518
Q:

Carbon Arc lamps are commonly used in

A) cinema projectors B) photography
C) vehicles D) domestic lighting
 
Answer & Explanation Answer: A) cinema projectors

Explanation:

The carbon arc lamp was the first widely-used type of electric light and the first commercially successful form of electric lamp.

carbon_arc_lamps_are_commonly_used_in1562825984.jpg image

Here are the Carbon Arc Lamp Uses :


-Super bright light, capable of lighting a large length of street or a large factory interior.

-Was the ONLY electric light available to light large areas from 1800 - 1901.

-Was cheaper to light streets with the arc lamp than gas or oil lamps.

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Filed Under: Physics
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19 5517