GATE Questions

Q:

If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given that x = 2+ 223 + 213

 

So x - 2 = 223 + 213

 

Now cubing on both sides, we get

 

 

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

 

Therefore, x3-6x2+6x = -6 + 8 = 2

 

 

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Filed Under: Square Roots and Cube Roots
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Q:

Soil erosion can be prevented by

A) Removal of vegetation B) Overgrazing
C) Afforestation D) Increasing bird population
 
Answer & Explanation Answer: C) Afforestation

Explanation:

The four most common soil erosion prevention methods are vegetation, geotextiles, mulch, and retaining walls.

By planting grass in areas of concentrated water flow, farmers can prevent much of the soil erosion that results from runoff, as the grass stabilizes the soil while still providing an outlet for drainage.

Preventing soil erosion is critical in protecting your property and exposed soil, whether from wind, weather, running water, and even the after-effects of the forest fire.

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Filed Under: General Science
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Q:

Who gave the slogan Inquilab Zindabad?

A) Hasrat Mohani B) Ashfaqulla Khan
C) Bhagat Singh D) Chandrashekhar Azad
 
Answer & Explanation Answer: A) Hasrat Mohani

Explanation:

Inquilab Zindabad means "Long live the revolution!". The slogan Inquilab Zindabad was given by Hasrat Mohani.

 

                                        who_gave_the_slogan_inquilab_zindabad1556950189.png image

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Filed Under: Indian History
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Q:

Express 3/8 and 1/10 as a Decimals?

A) 1.375 & 1 B) 0.375 & 1
C) 13.75 & 1.1 D) 0.375 & 0.1
 
Answer & Explanation Answer: D) 0.375 & 0.1

Explanation:

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> 3 x 1258 x 125 = 3751000 = 0.375

 

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

 

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

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Filed Under: Decimal Fractions
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Q:

One paper is equally folded 35 times, then what is the new thickness of the paper ?

A) T(2^50) B) 50T
C) 2 x 50 T D) T/50
 
Answer & Explanation Answer: A) T(2^50)

Explanation:

Let initial thickness of the paper be 'T'
after first fold it will be '2T' = 21T
after second fold it will be '4T' = 22T 
after 50th fold it will be T x (250T)

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Filed Under: Logic
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Q:

Magnetic field lines about a current-carrying wire

A) circle the wire in closed loops B) extend radially from the wire
C) both of these D) None of the above
 
Answer & Explanation Answer: A) circle the wire in closed loops

Explanation:

Electric current produces a magnetic field. This magnetic field can be visualized as a pattern of circular field lines surrounding a wire.

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Filed Under: Physics
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Q:

If a > b > 0, AB = a - b cm, BC = 2√ab cm, then ∠ABC is

A)  45° B)  60
C)  90° D)  120°
 
Answer & Explanation Answer: C)  90°

Explanation:
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Q:

Electromagnetic waves are transverse in nature is evident by

A) Reflection B) Polarisation
C) interference D) Diffraction
 
Answer & Explanation Answer: B) Polarisation

Explanation:
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Filed Under: Physics
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