GATE Questions

Q:

9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days ?

A) 15 days B) 11 days
C) 14 days D) 12 days
 
Answer & Explanation Answer: D) 12 days

Explanation:

9M + 12B ----- 12 days ...........(1)
12M + 12B ------- 10 days........(2)
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B............(3)

From (1) & (3)

18B + 12B = 30B ---- 12 days

20B + 10B = 30B -----? => 12 days.

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Q:

The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ?

A) Friday B) Saturday
C) Sunday D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We cannot find out the answer because the number of days of the current month is not given.

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55 23394
Q:

Find the next number in the given number series?

10, 6, 8, 15, ?

A) 34 B) 24
C) 28 D) 30
 
Answer & Explanation Answer: A) 34

Explanation:

The given number series is 10, 6, 8, 15, ?

10

10 x 0.5 + 1 = 6

6 x 1 + 2 = 8

8 x 1.5 + 3 = 15

15 x 2 + 4 = 34

 

Hence, the next number in the given series is 34.

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9 23290
Q:

In a certain coding language, iF GO = 32 & SHE = 49 then SOME will be equal to ?

A) 56 B) 58
C) 62 D) 64
 
Answer & Explanation Answer: A) 56

Explanation:

If we count letters till the end of the alphabet including that letter in reverse order then
Here the values are nothing but the values corresponding to the alphabets when taken in a reverse order,i.e,A=26 ,B=25...,Z=1
G = 20 and O = 12 totaling 32
S = 8, H = 19 and E = 22 totaling 49

So
SOME = 8 + 12 + 14 + 22 = 56.

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102 23147
Q:

Can you spot the missing number?

number_puzzle11531377158.jpg image

A) 3 B) 6
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The given number puzzle can be soved in two ways.

Logic 1 ::

Row 1  - 2 x 3 = 6 , 6 x 3 = 18

Row 2  - 4 x 5 = 20 , 20 x 5 = 100

Row 3  - 3 x 7 = 21 , 21 x 7 = 147

 

Hence, the missing number could be 3.

 

Logic 2 ::

Row 1 - 6 x (2+1) = 18

Row 2 - 20 x (4+1) = 100

Row 3 - 21 x (6+1) = 147

 

Hence, the missing number could be 6.

 

Therefore, 3 or 6 is the right answer.

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134 23092
Q:

Man : Biography :: Nation : ?

A) History B) Leader
C) Story D) Nationalism
 
Answer & Explanation Answer: A) History

Explanation:

Detailed description of a man's life is Biography.

Similarly, detailed description of a Nations is called History.

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Q:

A man walks 6 km at a speed of 112kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

A) 4314

B) 4213

C) 2413

D) 3414

A) Option A B) Option B
C) Option C D) Option D
 
Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Average speed of man= total distance/ total time
=> 54/13 = 4213 kmph

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17 22946
Q:

Tennis is to Sport as Chemistry is to

A) Biology B) Physics
C) Science D) Subject
 
Answer & Explanation Answer: C) Science

Explanation:

As Tennis is a kind of Sport, similarly, Chemistry is a kind of science.

 

Hence, Tennis : Sport :: Chemistry : Science.

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13 22877