GATE Questions

Q:

Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?

A) 3 hrs B) 3.5 hrs
C) 2.5 hrs D) 2 hrs
 
Answer & Explanation Answer: D) 2 hrs

Explanation:

Given Prabhas is twice as good a workman as Rana.

Prabhas finishes the work in 3 hrs

=> Rana finishes the work in 6 hrs.

Number of hours required together they could finish the work

= 3 x 6 / 3 + 6

= 18/9

= 2 hrs.

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Q:

Which statement is true of all atoms that are anions?

A) The atom has fewer protons than does a neutral atom of the same element. B) The atom has more protons than electrons.
C) The atom has more neutrons than protons. D) The atom has more electrons than protons.
 
Answer & Explanation Answer: D) The atom has more electrons than protons.

Explanation:

Anions are atoms or radicals (groups of atoms), that have gained electrons. Since they now have more electrons than protons, anions have a negative charge.

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Q:

The difference between the compound interest and the simple interest on Rs. 6250 at 8% per annum in 2 years is

A) Rs.30 B) Rs.40
C) Rs.50 D) Rs.60
 
Answer & Explanation Answer: B) Rs.40

Explanation:
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Q:

Reactions that require CO2 take place in

A) the Calvin cycle alone B) the light reactions alone
C) Both A & B D) the chloroplast, but is not part of photosynthesis
 
Answer & Explanation Answer: A) the Calvin cycle alone

Explanation:
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Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24 B) 38 & 26
C) 36 & 24 D) 44 & 28
 
Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Q:

It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 

A) 1/7 min B) 7/2 min
C) 5/7 min D) 7/5 min
 
Answer & Explanation Answer: B) 7/2 min

Explanation:

Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.

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Q:

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

A) 48 sq units B) 24 sq units
C) 12 sq units D) 6 sq units
 
Answer & Explanation Answer: B) 24 sq units

Explanation:

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

 

Here the two sides are 8 & 12

Angle = 150

 

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

 

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

 

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Q:

A caribbean shape that makes ships disappear

A) Square B) Triangle
C) Circle D) Pentagon
 
Answer & Explanation Answer: B) Triangle

Explanation:

The triangle is a caribbean shape that makes ships disappear.

 

A_caribbean_shape_that_makes_ships_disappear1558074852.jpg image

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