GATE Questions

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 5431
Q:

Which of the fallowing is not a leap year?

A) 2000 B) 2008
C) 2009 D) 2012
 
Answer & Explanation Answer: C) 2009

Explanation:

Leap year means the year that can be divisible by 4. From the above options 2009 is not divisible by 4. So it is not a leap year.

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44 5426
Q:

Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + ....

A) 30,400 B) 30,200
C) 34,600 D) 38,400
 
Answer & Explanation Answer: A) 30,400

Explanation:

we can treat every two consecutive terms as one.
So, we will have a total of 100 terms of the nature:
(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....

 

We know the sum of n terms  nn+12

 

Now, a= 7, d=6 and n=100
Hence the sum of the given series is
S= 100/2 x[2 x 7 + 99 x 6]
=> 50[608]
=> 30,400.

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Filed Under: Numbers
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5 5425
Q:

Rearrange the following five sentences in proper sequence so as to for a meaningful paragraph, then answer the questions given below them.


1. After Examining him, the doctor smiled at him mischievously and took out a syringe.
2. Thinking that he was really sick, his father summoned the family doctor.
3. That day, Mintu wanted to take a day off from school
4. Immediately, Mintu jumped up from his bed and swore that he was fine
5. Therefore, he pretended to be sick and remained in bed.

A) 34215 B) 35241
C) 35214 D) 34251
 
Answer & Explanation Answer: C) 35214

Explanation:
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Filed Under: Deriving Conclusions From Passages
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5 5412
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 5409
Q:

A 150 m long train crosses another 210 m long train running in the opposite direction in 10.8 seconds. If the shorter train crosses a pole in 12 seconds, what is the speed of longer train ?

A) 75 kmph B) 80 kmph
C) 54 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 75 kmph

Explanation:

Total distance = 150 + 210 = 360 mts

Time taken to cross each other when moving in opposite direction = 10.8 sec

Relative speed of trains = (350/10.8) x 18/5 = 3600/30 = 120 kmph

Speed of shorter train = (150/12) x 18/5 = 45 kmph

 

Hence, speed of longer train = 120 - 45 = 75 kmph.

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Filed Under: Problems on Trains
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6 5406
Q:

What has two hands but no arms or legs?

Answer

A Clock has 3 hands i.e, an Hour hand, a Minute hand and a Seconds hand.

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3 5405
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 5395