GATE Questions

Q:

A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is

A) 1 : 10 B) 10 : 1
C) 9 : 11 D) 11 : 9
 
Answer & Explanation Answer: A) 1 : 10

Explanation:

Customer ratio of Milk and Water is given by

Milk          ::        Water

  6.4                         0

         81 + 38 =6411

 6411                      6410 - 6411 

=> Milk : Water = 110 : 11 = 10 : 1

 

Therefore, the proportionate of Water to Milk for Customer is 1 : 10

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Filed Under: Alligation or Mixture
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29 9551
Q:

Exercise is to Gym as Eating is to

A) Dieting B) Fitness
C) Restaurent D) Food
 
Answer & Explanation Answer: C) Restaurent

Explanation:

The given words are related in such a manner that, for exercise we go to gym. Simmilarly, for eating we go to restaurent.

 

Hence, Exercise : Gym :: Eating : Restaurent.

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Filed Under: Analogy
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8 9548
Q:

A salesman calculated his profit on the marked price and finds it to be 30%. He forgets the fact that he gave a discount of 20%. What is his actual profit percentage?   

A) 260/11% B) 18.4%
C) 22.5% D) 100/7%
 
Answer & Explanation Answer: D) 100/7%

Explanation:

When profit is calculated on Marked Price (M.P) then,

      • C.P = M.P - P%

Let M.P = 100

 => C.P = 100 - 30 = 70

 But S.P = Rs. 80 as he gave 20% discount,

 Now, Actual Profit = 80-7070x100

  = 100/7 %

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Filed Under: Profit and Loss
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18 9536
Q:

The marked price of an article is increased by 25% and the selling price is increased by 16.66%, then the amount of profit doubles. If the original marked price be Rs. 400 which is greater than the corresponding cost price by 33.33%, what is the increased selling price?

A) Rs. 380 B) Rs. 420
C) Rs. 460 D) Rs. 440
 
Answer & Explanation Answer: B) Rs. 420

Explanation:

As given in the question, Marked price is 25% more than the Cost price.

=> C.P of the article = 34 x 400 = 300 

Now, 

Let the original S.P of the article be Rs. P

Now the new S.P = P + 16.666 +13.333300 x P 

=> S.P = 7P6

According to the question,

7P6 - 300 = 2P - 300

=> 5P = 1800

=> P = Rs. 360

Hence, the increased S.P = 360 x 7/6 = Rs. 420. 

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Filed Under: Profit and Loss
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11 9510
Q:

In a certain code language, 'is uc he bh kr' mean 'Lucky likes to dance freely', 'ha by lm kr op' mean 'Dance can be a hobby', 'he id ac kr bh' mean 'Lucky teaches dance to kids' and 'kr id bh tw uc' mean 'Kids dance freely with Lucky'.

Now answer the given question.

'Lucky likes to dance with kids' can be coded as ?

A) he kr op id uc tw B) bh is he kr tw id
C) ac tw op bh uc id D) None of the above
 
Answer & Explanation Answer: B) bh is he kr tw id

Explanation:

From given data, codes for

Lucky - bh

Likes - is

to - he

Dance - kr

with - tw

Kids - id

Hence, Lucky like to dance with kids can be coded as 'bh is he kr tw id'.

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Filed Under: Coding and Decoding
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60 9491
Q:

A standing wave occurs when

A) a wave reflects upon itself B) the amplitude of a wave exceeds its wavelength
C) two waves overlap D) the speed of the wave is zero or near zero
 
Answer & Explanation Answer: A) a wave reflects upon itself

Explanation:

A standing wave also known as a stationary wave, is a wave in which its peaks or any other point on the wave do not move spatially.

This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions. The most common cause of standing waves is the phenomenon of resonance, in which standing waves occur inside a resonator due to interference between waves reflected back and forth at the resonator's resonant frequency.

 

Hence, standing wave occurs when a wave reflects upon itself.

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Filed Under: Physics
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7 9475
Q:

What is two weeks from today?

A) same day B) previous day
C) next day D) None
 
Answer & Explanation Answer: A) same day

Explanation:

We know that the day repeats every 7 days, 14 days, 21 days,...

So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday.

Hence, after 2 weeks i.e, 14 days the day repeats and is the same day. 

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Filed Under: Calendar
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59 9474
Q:

How many days are there in k weeks k days ?

A) 8+k days B) 7+1k days
C) 8k days D) 7/k days
 
Answer & Explanation Answer: C) 8k days

Explanation:

As we know that a week has 7 days,

k weeks k days = (7k + k) days = 8k days.

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Filed Under: Calendar
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11 9469