GATE Questions

Q:

The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

A) 2580 B) 3687
C) 4320 D) 5460
 
Answer & Explanation Answer: C) 4320

Explanation:

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

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Filed Under: Permutations and Combinations
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Q:

A compass always points to

A) North B) Magnetic north
C) Magnetic South D) South
 
Answer & Explanation Answer: B) Magnetic north

Explanation:

Wherever on earth we hold a compass, the needle points towards the magnetic North Pole. A compass is a great tool for navigation.

compass1532084678.png image

Compass is widely used in aircrafts, ships, military services,...

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Filed Under: General Awareness
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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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Filed Under: Numbers
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5 4518
Q:

Which of the following is not a macronutrient?

A) Carbohydrates B) Calcium
C) Chlorine D) Proteins
 
Answer & Explanation Answer: C) Chlorine

Explanation:

Nutrients that are needed in large amounts are called Macronutrients.

 

There are three macronutrients required by humans:

1. carbohydrates (sugar),

2. lipids (fats), and

3. proteins.

 

Each of these macronutrients provides energy in the form of calories.

 

Some other macronutrients are: nitrogen (N), phosphorus (P), potassium (K), calcium (Ca), sulfur (S), magnesium (Mg), sodium (Na).

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Filed Under: General Science
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Q:

Number Challenge

Diamond_number1498884346.jpg image

A) 9 B) 11
C) 13 D) 15
 
Answer & Explanation Answer: B) 11

Explanation:

Half the Product of Number in the upper & lower box gives the number in the middle box.

i.e. 18 x 4/2 = 36

15 x 6/2 = 45

In the same way 

8 x N/2 = 44 => N = 11.

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Filed Under: Number Puzzles
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Q:

Persistence of vision is the principle behind

A) Telescope B) Periscope
C) Cinema D) Microscope
 
Answer & Explanation Answer: C) Cinema

Explanation:

Optical illusion is what that refers to persistence of vision with a principle that multiple images blend into a single image in human mind and what is showed in cinema.

 

Hence, Persistence of vision is the principle behind cinema.

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Filed Under: Physics
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Q:

The average of the ages of Sushanth, Krish and Rishi is 43 years and the average of the ages of Sushanth, Rishi and Rohit is 49 years. If Rohit is 54 years old, what is Krish's age ?

A) 34 years B) 26 years
C) 24 years D) 36 years
 
Answer & Explanation Answer: D) 36 years

Explanation:

Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , then
w + x + y = 43 x 3 = 129 ---(i) and
w + y + z = 49 x 3 = 147 ---(ii)
Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)
Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.
Therefore, Krish age is 36 years.

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Filed Under: Problems on Ages
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4 4514
Q:

The first stage in the formation of coal is

A) Lignite B) Bituminous
C) Anthracite D) Peat
 
Answer & Explanation Answer: D) Peat

Explanation:

The first of the four stages of coal formation is lignite coal.

 

There are four stages of coal formation:

 

1. Peat,

 

2. Lignite,

 

3. Bituminous and

 

4. Anthracite.

The bacteria has removed a large portion of the other constituents of the plant matter and left around 25 to 34 percent.

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