GATE Questions

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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4 3420
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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3 3419
Q:

Lux is the SI unit of

A) luminous flux B) luminous efficiency
C) intensity of illumination D) luminous intensity
 
Answer & Explanation Answer: C) intensity of illumination

Explanation:

The lux (lx) is the SI derived unit of illuminance and luminous emittance, measuring luminous flux per unit area. It is equal to one lumen per square meter.

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Filed Under: Physics
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6 3416
Q:

16 of 225 is =

A) 7.11 B) 7.21
C) 6.87 D) 7.58
 
Answer & Explanation Answer: A) 7.11

Explanation:

16 of 225 is = 

16 = p × 225100p = 1600225 = 7.1111

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Filed Under: Percentage
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9 3415
Q:

"Compounding frequency" refers to

A) What type of interest your account earns B) How often your interest is calculated and added back into your account
C) What interest rate you can expect from your account D) How easily you can add money into your account
 
Answer & Explanation Answer: B) How often your interest is calculated and added back into your account

Explanation:

Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

 

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

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1 3414
Q:

In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?

A) 3360 B) 5040
C) 720 D) 1080
 
Answer & Explanation Answer: B) 5040

Explanation:

Given word is GLACIOUS has 8 letters.

=> C is fixed in one of the 8 places

Then, the remaining 7 letters can be arranged in 7! ways = 5040.

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2 3413
Q:

A person who is always dissatisfied

A) malcontent B) surrogate
C) heresy D) felon
 
Answer & Explanation Answer: A) malcontent

Explanation:

The one word substitute for "a person who is always dissatisfied" is malcontent.

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Filed Under: English
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1 3407
Q:

Poorly tuned engines do not get good gas mileage.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

The above-given statement is absolutely true. Poorly tuned engines of vehicles will not get good gas mileage.


A poorly running engine may lose power that is needed for normal driving and emergencies, may not start, gets poor fuel economy, pollutes the air, and could stall when you are on the road causing a traffic problem.

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Subject: General Science
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2 3406