GATE Questions

Q:

Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ?

A) 4 hrs 10 min B) 3 hrs 15 min
C) 3 hrs 30 min D) 4 hrs 1 min
 
Answer & Explanation Answer: C) 3 hrs 30 min

Explanation:

Let the speed of boat and stream be x and y kmph respectively.

According to question

d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i)

and 2d/x-y = 7...... (ii)

From eq. (i) and (ii)

2d/x+y = 7/2

Hence, Amith will take to row 2d km distance downstream in 7/2 hrs

= 3.5 hrs

= 3 hrs 30 min.

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Filed Under: Boats and Streams
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16 7224
Q:

Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?

A) 50% B) 25%
C) 75% D) 60%
 
Answer & Explanation Answer: A) 50%

Explanation:

CP of 1000gm = Rs. 10
SP of 800gm = Rs. 12
SP of 1000gm =12x1000/800 = Rs. 15

Now take 1000gm as reference to calculate profit.
Profit=SP-CP=15-10=Rs. 5
Profit % = 5x100/10 = 50%

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Filed Under: Profit and Loss
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8 7219
Q:

Which of the following is the sixth to the left of the twentieth from the left end of the below arrangement ?
BM%R#J@K!DF69L4*15NEP23AYQZ#7UG

A) L B) K
C) 4 D) 9
 
Answer & Explanation Answer: A) L

Explanation:

The twentieth element in the above arrangement is 'E'.
Then, the sixth element to the left of 'E' is 'L'.

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Filed Under: Alphabet Test
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12 7201
Q:

Who is the primary Author of HTML?

A) Sabeer Bhatiya B) Tim Berners-Lee
C) Brendan Eich D) Google Inc.
 
Answer & Explanation Answer: B) Tim Berners-Lee

Explanation:

The primary Author of HTML is Tim Berners-Lee, a scientist and academic, with the assistance of his colleagues at CERN, an international scientific organization based in Geneva, he did this. Berners-Lee invented the World Wide Web in 1989 at CERN.

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5 7189
Q:

When the price of whear was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption of family?

A) 27 kgs B) 25 kgs
C) 24 kgs D) 21 kgs
 
Answer & Explanation Answer: B) 25 kgs

Explanation:

Initial wheat per kg cost be Rs. 100

Then, monthly expenditure of the family = 30 x 100 = 3000

After increase in cost,

Let P be new monthly consumption of family.

P x 132 = 110/100 x 3000

=> P = 25 kg.

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Filed Under: Percentage
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7 7179
Q:

Which of the following pairs have the same relationship as OFTEN : FOTEN?

A) HEART : TRAHE B) OPENS : SNEOP
C) RISKY : IRSYK D) FIRST : IFRST
 
Answer & Explanation Answer: C) RISKY : IRSYK

Explanation:

      It is a case of shifting as given below:

 

      1  2  3  4  5                    2  1  3  5  4

 

      O  F  T  E  N     F  O  T  N  E

 

---------------------------------------------------------------------------

 

       1  2  3  4  5                   5  4  3  1  2

 

1.    H  E  A  R  T             T  R  A  H  E    

 

2.    O  P  E  N  S    S  N  E  O  P

 

        1  2  3  4  5         2  1  3  5  4

3.    R  I  S  K  Y     I  R  S  Y  K

 

 

4.    F  I  R  S  T     I  F  R  S  T

 

Hence option 3 is correct.

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Filed Under: Analogy
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19 7170
Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit B) 96 lit
C) 48 lit D) 52 lit
 
Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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Filed Under: Alligation or Mixture
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7 7157
Q:

Bread : Yeast :: Curd : ?

A) Fungi B) Bacteria
C) Germs D) Virus
 
Answer & Explanation Answer: B) Bacteria

Explanation:

First is produced by the action of the second.

Hence, Bread : Yeast :: Curd : Bacteria.

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Filed Under: Analogy
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4 7151