GATE Questions

Q:

What is Latus Rectum of Parabola?

A) line segment B) vertex
C) focus D) major axis
 
Answer & Explanation Answer: A) line segment

Explanation:

As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal.

 

The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic.

                                      download1522126663.jpg image

 

The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

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Filed Under: Analytical Reasoning
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Q:

Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence.

In which part of the sentence there is an error ?

A) He is B) Not agreeing
C) To me. D) No error
 
Answer & Explanation Answer: C) To me.

Explanation:

Replace 'to' by 'with'.

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Filed Under: Analogy
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3 4506
Q:

Antonym for Durable

A) Pressure B) Flimsy
C) Hard-wearing D) Withstand
 
Answer & Explanation Answer: B) Flimsy

Explanation:

Durable means able to withstand wear, pressure.

 

Antonyms for Durable are Delicate, Flimsy, Short-lived.

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Q:

125% as a Fraction?

A) 1/4 B) 3/4
C) 5/4 D) 7/4
 
Answer & Explanation Answer: C) 5/4

Explanation:

Literally any percentage means divide by 100.

So 125% = 125100. That can be reduced to 5/4.

To convert to a decimal, you can do long division, dividing 5 into 4.

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Filed Under: Percentage
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5 4495
Q:

Which of the following memory is volatile?

A) RAM B) Floppy disc
C) ROM D) Magnetic tape
 
Answer & Explanation Answer: A) RAM

Explanation:

Volatile memory is computer memory that requires power to maintain the stored information. It is a temporary memeory which cannot contain information permanently.

Example :: RAM or Random Access Memory

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Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
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Q:

When the European union formed nations began to?

A) eliminate their home governments. B) abolish many geographic boundaries.
C) create one unified education system. D) cooperate on law enforcement.
 
Answer & Explanation Answer: D) cooperate on law enforcement.

Explanation:

When the European union formed nations began to cooperate on law enforcement. The European Union is set up with the aim of ending the frequent and bloody wars between neighbours, which culminated in the Second World War.

 

As of 1950, the European Coal and Steel Community begins to unite European countries economically and politically in order to secure lasting peace. The six founding countries are Belgium, France, Germany, Italy, Luxembourg and the Netherlands. The 1950s are dominated by a cold war between east and west.

 

The historical roots of the European Union lie in the Second World War. Europeans are determined to prevent such killing and destruction from ever happening again.

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Filed Under: World History
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0 4488
Q:

Antonym of Sober?

A) not affected by alcohol B) Sensible
C) Serious D) emotional
 
Answer & Explanation Answer: D) emotional

Explanation:

Sober means not afected by alcohol, clear headed, very serious, sensible,...

 

Antonyms of Sober are :: light hearted, frivolous, sensational, emotional,...

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Filed Under: English
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