GATE Questions

Q:

If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?

A) 78 paise B) 48 paise
C) 54 paise D) 62 paise
 
Answer & Explanation Answer: B) 48 paise

Explanation:

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.

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Filed Under: Chain Rule
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33 5035
Q:

Grey Revolution is associated with

A) Cotton B) Fruits
C) Fertilizers D) Oil seeds
 
Answer & Explanation Answer: C) Fertilizers

Explanation:

Grey Revolution is associated with Fertilizers.

 

      • Cotton - Silver fiber Revolution

 

      • Fruits - Golden Revolution

 

      • Oil seeds - Yellow Revolution
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Filed Under: Indian History
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Analyst

14 5034
Q:

Mohan was married 5 years ago. At present his age is 6/5 times of his age at the time of marriage. His wife is 3 year younger to him. Find his wife’s present age?

A) 21 yrs B) 24 yrs
C) 27 yrs D) 30 yrs
 
Answer & Explanation Answer: C) 27 yrs

Explanation:

Let Mohan present age = p

ATQ,

5/6 x p = p - 5

p = 30

His wifes age = 30 - 3 = 27 yrs.

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Filed Under: Problems on Ages
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14 5033
Q:

The calendar for the year 2007 will be the same for the year ?

A) 2014 B) 2019
C) 2021 D) 2018
 
Answer & Explanation Answer: D) 2018

Explanation:

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017
Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days => 0 odd days.
Calendar for the year 2018 will be the same as for the year 2007.

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Filed Under: Calendar
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14 5033
Q:

1 Billion Seconds Equals to

A) 34.76 years B) 32.48 years
C) 33.31 years D) 31.68 years
 
Answer & Explanation Answer: D) 31.68 years

Explanation:

We know that 1 year = 365.25 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

 

=> 1 Year = 365.25 x 24 x 60 x 60 Seconds

But 1 billion seconds = ?

1 Year = 365.25 x 24 x 60 x 60 Seconds

    ?     =  1000000000 Seconds

 

? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.

 

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38 5032
Q:

If P is 140, which is 40% more than Q, then 3/25 of Q is

A) 9 B) 12
C) 18 D) 24
 
Answer & Explanation Answer: B) 12

Explanation:

From the given data,

P = 140

But it is given that,

40% of Q + Q = 140 = P

=> Q + [40Q/100] = 140

=> [100Q + 40Q]/100 = 140

=> 140Q = 140 x 100

=> Q = 100

Now,

 3/25 of Q 

= (3/25) x 100

= 3 x 4 

= 12 

 

Required 3/25 of Q  = 12.

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Filed Under: Percentage
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25 5023
Q:

Important Time and Distance formulas with examples.

Answer

1. How to find Speed(s) if distance(d) & time(t) is given:


 


 Speed (S) = Distance (D)Time (T)  


 


Ex: Find speed if a person travels 4 kms in 2 hrs?


Speed = D/T = 4/2 = 2 kmph.


 


2.  Similarly, we can find distance (d)  if speed (s) & time (t) is given by


 


Distance (D) = Speed (S) x Time (T)


 


Ex : Find distance if a person with a speed of 2 kmph in 2 hrs?


Distance D = S X T = 2 x 2 = 4 kms. 


 


3.  Similarly, we can find time (t) if speed (s) &  distance (d) is given by


 


Time (T) = Distance (D)Speed (S)


 


Ex : Find in what time a person travels 4 kms with a speed of 2 kmph?


Time T = D/S = 4/2 = 2 hrs.


 


4. How to convert  km/hr into m/sec :


 


P km/hr = P x 518 m/sec


 


Ex : Convert 36 kmph into m/sec?


36 kmph = 36 x 5/18 = 10 m/sec 


 


5. How to convert  m/sec into km/hr :


 


P m/sec = P x 185 kmph.


 


Ex : Convert 10 m/sec into km/hr?


10 m/sec = 10 x 18/5 = 36 kmph.


 


6.  If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b : a.


 


7.  Suppose a man covers a certain distance at x km/ hr and an equal distance at y km/hr . Then, the average speed during the whole journey is 2xyx+y km/hr.

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6 5018
Q:

In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ?

A) Rs. 34,410 B) Rs. 31,184
C) Rs. 29,999 D) Rs. 32,292
 
Answer & Explanation Answer: D) Rs. 32,292

Explanation:

Almond Selling price = CP(1 + P%/100)

=> CP = 20000, SP = 23000

=> 23000 = 20000 (1 + P/100)

=> P% = 100(23000/20000 - 1) = 15

Then, Olive's P% = 30%

SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900

Now Sarah wants to earn profit of 8%

=> Sp for Sarah = 29900(1 + 8/100)

= Rs. 32,292.

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Filed Under: Profit and Loss
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11 5014