GATE Questions

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:

Commissioned - Antonym

A) Instruct B) Empower
C) Nominate D) Dismiss
 
Answer & Explanation Answer: D) Dismiss

Explanation:

Commissioned means Authority granted for a particular action or function.

 

Here, in the given options Dismiss is the only word which is opposite in meaning to commissioned.

 

Hence, Antonym of  Commissioned is Dismiss.

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Filed Under: Alphabet Test
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3 3629
Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

A) Rs. 664.21 B) Rs. 548.68
C) Rs. 445.95 D) Rs. 692.57
 
Answer & Explanation Answer: C) Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

 

Compound Interest = Rs. 445.95

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Filed Under: Compound Interest
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12 3628
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 3627
Q:

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?

A) 2 hrs 24 min B) 2 hrs 44 min
C) 1 hrs 24 min D) 1 hrs 24 min
 
Answer & Explanation Answer: A) 2 hrs 24 min

Explanation:

Given that three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.

Now, required time after which they met for the first time = LCM of (16, 24 & 36) min

Now, LCM of 16, 24, 36 = 144 minutes = 2 hrs 24 min.

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Filed Under: Time and Work
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15 3625
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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9 3624
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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2 3624
Q:

If        9 = 63              8 = 48             7 = 35 

Then   4 = ?

A) 4 B) 8
C) 12 D) 16
 
Answer & Explanation Answer: B) 8

Explanation:

Here given that 9 = 63, 8 = 48, 7=35, ... 

 

The given question follows a pattern that

9 x (9 - 2) = 9 x 7 = 63

8 x (8 - 2) = 8 x 6 = 48

7 x (7 - 2) = 7 x 5 = 35

 

Similarly, 4 x (4 - 2) = 4 x 2 = 8.

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