GATE Questions

Q:

I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries.

A) suppressing, conflict B) expressing, hostility
C) stifling, temperance D) rousing, wrath
 
Answer & Explanation Answer: A) suppressing, conflict

Explanation:
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Filed Under: Analogy
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6 4926
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 4919
Q:

Mohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much amount does he spend on food and insurance policy together?

A) Rs. 2326 B) Rs. 5876
C) Rs. 1741 D) Rs. 3136
 
Answer & Explanation Answer: D) Rs. 3136

Explanation:

Let total amount = Rs. P

Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP

Remaining money = (100 - 91)% of P = 9% of P

But given in the question that,

9% of P = 504

9p/100 = 504

=> P = 50400/9

=> P = Rs. 5600

 

Required money spent on Food & Insurance = 23 + 33 %

= 56% of 5600

= 56 x 5600/100 = 56 x 56 = Rs. 3136

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Filed Under: Percentage
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5 4916
Q:

A,B,C can complete a work in 15,20 and 30 respectively.They all work together for two days then A leave the work,B and C work some days and B leaves 2 days before completion of that work.how many days required to complete the whole work?

Answer

Given A,B,C can complete a work in 15,20 and 30 respectively.


The total work is given by the LCM of 15, 20, 30 i.e, 60.


A's 1 day work = 60/15 = 4 units


B's 1 day work = 60/20 = 3 units


C's 1 day work = 60/30 = 2 units


(A + B + C) worked for 2 days = (4 + 3 + 2) 2 = 18 units


 Let B + C worked for x days = (3 + 2) x = 5x units


C worked for 2 days = 2 x 2 = 4 units


Then, 18 + 5x + 4 = 60


22 + 5x = 60


5x = 38


x = 7.6


 


Therefore, total number of days taken to complete the work = 2 + 7.6 + 2 = 11.6 = 11 3/5 days.

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Subject: Time and Work Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 4912
Q:

Which battle established British supremacy in India?

A) The Battle of Buxar B) The Battle of Plassey
C) The Battle of Mysore D) The Battle of Samergarh
 
Answer & Explanation Answer: B) The Battle of Plassey

Explanation:

The Battle of Plassey in the year 1757, victory of British East India company over Nawab of Bengal established British supremacy in India. The victory came under the leadership of Robert Clive.

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Filed Under: Indian History
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4 4910
Q:

There is a clock which shows false timing ie it shows 20 minutes less for each 1 hour. If the clock shows 12 noon now how many minutes will be lost when it shows 2 pm ?

A) 36 minutes B) 48 minutes
C) 35 minutes D) 60 minutes
 
Answer & Explanation Answer: D) 60 minutes

Explanation:

For 1 hour, 20 minutes is slower, then for
06 miuntes - 2 minutes is slower
30 minutes - 10 minutes
Actual time | false time
12 12
01 PM 12:40 PM (20 minutes slower)
02 PM 01:20 PM
03 PM 02:00 PM

So, when actual time is 3pm, the false time is 2 pm.
So, it loses 60 minutes when it shows 2 pm.

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Filed Under: Clock puzzles
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21 4910
Q:

Find the Odd one out of the following Numbers?

A) 3 B) 19
C) 67 D) 133
 
Answer & Explanation Answer: D) 133

Explanation:

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

 

Hence, the odd number of the given numbers is 133.

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4 4899
Q:

Find the logic and solve this mathematical puzzle?

solve_this_maths_puzzle1565956551.jpg image

A) 112 B) 72
C) 127 D) 144
 
Answer & Explanation Answer: D) 144

Explanation:

In the given puzzle, the logic is

2 + 3 = 10 => (2 + 3) * 2 = 10

6 + 3 = 54 => (6 + 3) * 6 = 54

8 + 3 = 88 =>  (8 + 3) * 8 = 88

Similarly,

9 + 7  => (9 + 7) * 9 = 16 x 9 = 144.

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Filed Under: Math Puzzles
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