GATE Questions

Q:

I have three eyes but only one leg.

I still close one even if you beg. 

What am I?

Answer

A traffic light.


It has three 'eyes' (the red, orange and green lights) and the leg is the pole holding it up. Many people beg the light to stay green as they’re approaching.

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Q:

Pointing to a lady , a man said," The son of her only brother is the brother of my wife."How is the lady related to the man ?

A) sister of father-in-law B) sister
C) mother D) mother-in-law
 
Answer & Explanation Answer: A) sister of father-in-law

Explanation:

Brother of person's wife → brother-in-law of the person. Hence, the son of lady's brother is brother-in-law of the person.

Therefore, the brother of the lady is the father-in-law of the person. Hence, the lady is the sister of the person's father-in-law.

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Filed Under: Blood Relations
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Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18 B) 24
C) 36 D) 32
 
Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

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Filed Under: Permutations and Combinations
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Q:

On sport’s day, if 12 children were made to stand in each column, 98 columns could be formed. After a certain music being played the plan was that the children have to stand in concentric circles such that the innermost circle will have one student, the next circle will have two students, the third circle will have 3 students and so on. How many circles will be formed in this manner ?

A) 44 B) 46
C) 48 D) 49
 
Answer & Explanation Answer: C) 48

Explanation:

No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.

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Filed Under: Arithmetical Reasoning
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3 3466
Q:

Train A, travelling at 84 kmph, overtook train B, traveling in the same direction, in 10 seconds. If train B had been traveling at twice its speed, then train A would have taken 22.5 seconds to overtake it. Find the length of train B, given that it is half the length of train A.

A) 180 m B) 100 m
C) 200 m D) 150 m
 
Answer & Explanation Answer:

Explanation:

Let speed of train B be x m/s And length of train B be y m
Then length of train A is 2y m
Speed of train A = 84 × 5/18 = 210/9 m/s = 70/3 m/s
A.T.Q, (2y+y)/10 = 70/3 − x .............(i)
and (2y+y)/ 22.5 = 70/3 − 2x ................(ii)
solving (i) and (ii), y = 50 m

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Q:

In how many different ways can the letters of the word 'POVERTY' be arranged ?

A) 2520 B) 5040
C) 1260 D) None
 
Answer & Explanation Answer: B) 5040

Explanation:

The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

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Filed Under: Permutations and Combinations
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Q:

Missing Letter Challenge

18739822_1315678848539216_348955014883925877_n1499155394.jpg image

A) N B) K
C) L D) P
 
Answer & Explanation Answer: A) N

Explanation:
The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So,
 
M = Reverse of M = N.
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Filed Under: Missing letters puzzles
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Q:

3, 12, 5, ?

A) 36 B) 26
C) 30 D) 24
 
Answer & Explanation Answer: C) 30

Explanation:

332 + 3 = 12552 + 5 = 30

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Filed Under: Odd Man Out
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