GATE Questions

Q:

How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ?

A) 2500 B) 25000
C) 12500 D) 15400
 
Answer & Explanation Answer: B) 25000

Explanation:

We know that,

 

One square meter is equal to 10,00,000 sq mm.
Given, each mesh is 8mm length and 5mm wide
Therefore for each mesh : 8 x 5 = 40 sq mm.
So, number of meshes = 100000040 = 25000.

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Filed Under: Volume and Surface Area
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6 8363
Q:

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A) 11/379 B) 21/628
C) 24/625 D) 26/247
 
Answer & Explanation Answer: C) 24/625

Explanation:

Total no of ways = (14 – 1)! = 13!

Number of favorable ways = (12 – 1)! = 11!

 

So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

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Filed Under: Probability
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22 8353
Q:

A man pointing to a lady says, "Her brother is the father of my only son's sister."  How is that lady related to the man ?

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

Explanation:
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Filed Under: Blood Relations
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14 8349
Q:

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?

 

A) 113/108 B) 105/103
C) 108/115 D) 103/113
 
Answer & Explanation Answer: B) 105/103

Explanation:

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver = 513 + 58813 + 38 = 105103.

 

Hence, ratio of gold and silver in the resulting alloy = 105/103.

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Filed Under: Alligation or Mixture
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15 8349
Q:

Which state is known as land of setting sun in India?

A) Rajasthan B) Arunachal Pradesh
C) Kerala D) Gujarat
 
Answer & Explanation Answer: A) Rajasthan

Explanation:

Arunachal Pradesh is known as the land of rising sun whereas Rajasthan is known as the land of setting sun in Indian states.

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Filed Under: Indian Geography
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3 8347
Q:

Where should a boat compass be mounted?

A) near magnet B) near iron
C) away from electrical wiring D) All the above
 
Answer & Explanation Answer: C) away from electrical wiring

Explanation:

A compass, which is used to assist in navigation, is an instrument that shows magnetic north. You must apply a correction to determine the direction of true north. The ability to steer a boat by a compass is useful if land is out of sight, visibility is reduced, or the boat operator is disoriented.

 

Mount a boat compass away from iron, magnets, and electrical wiring and equipment.

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Filed Under: Physics
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15 8325
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 8307
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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