GATE Questions

Q:

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

A) 35/36 B) 17/36
C) 15/36 D) 1/36
 
Answer & Explanation Answer: A) 35/36

Explanation:

When two dice are thrown simultaneously, the probability is n(S) = 6x6 = 36

dice_thrown_simulataneously1532668754.png image

Required, the sum of the two numbers that turn up is less than 12

That can be done as n(E)

= { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5) }

= 35

Hence, required probability = n(E)/n(S) = 35/36.

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Filed Under: Probability
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Q:

Dry ice is nothing but

A) Solid carbon dioxide B) Baking soda
C) Gaseous carbon dioxide D) Carbon monoxide
 
Answer & Explanation Answer: A) Solid carbon dioxide

Explanation:

dry-ice1531812120.jpg image

 

Dry ice is solid form of carbon dioxide, used as a cooling agent.

 

It lower temperature than that of water ice and not leave any residue.

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Filed Under: Chemistry
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5 5136
Q:

How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ?

A) 9216 B) 10246
C) 12345 D) 7527
 
Answer & Explanation Answer: A) 9216

Explanation:

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

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Filed Under: Volume and Surface Area
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7 5133
Q:

Which of the following is a legal requirement for PFDs?

A) PFDs must be properly sized for the intended wearer. B) Must be in good, serviceable condition.
C) Sizing for PFDs is based on body weight and chest size. D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

PFD's : Personal Flotation Devices (life jackets).

 

It is a legal requirement for a PFD to

1. Must be in good, serviceable condition 

2. PFDs must be properly sized for the intended wearer.

3. Sizing for PFDs is based on body weight and chest size.

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Filed Under: General Awareness
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2 5121
Q:

Which Indian city is named after the snake Anantha of Lord Vishnu?

A) Trivandrum B) Tiruchirappalli
C) Tanjavore D) Vellore
 
Answer & Explanation Answer: A) Trivandrum

Explanation:

Thiruvananthapuram also known as Trivandrum, is the capital and the largest city of the Indian state of Kerala is named after the snake Anantha of Lord Vishnu.

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16 5120
Q:

Which of the Phrases(1), (2), (3) and (4) given below each sentence should replace the phrases printed in bold in the sentence to make it grammatically correct.

The ban is applied by the district’s commercial taxes department after protests by a community, which had threat to burn theatres screening the controversial movie.

A) had threated to burn B) had threatened to burn
C) had threatened to burning D) had threats of burning
 
Answer & Explanation Answer: B) had threatened to burn

Explanation:
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15 5120
Q:

Which is the first metro rail in India?

A) Kolkata B) Hyderabad
C) Delhi D) Mumbai
 
Answer & Explanation Answer: A) Kolkata

Explanation:

Kolkata Metro Rail is the first metro rail operating since 1984 in India.

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17 5119
Q:

How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.

A) 64 B) 63
C) 62 D) 60
 
Answer & Explanation Answer: B) 63

Explanation:

Given digits are 0, 4, 2, 6

Required 4 digit number should be greater than 6000.

So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.

This can be done by

1x4x4x4 = 64

Greater than 6000 means 6000 should not be there.

Hence, 64 - 1 = 63.

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Filed Under: Permutations and Combinations
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18 5117