GATE Questions

Q:

The difference between Simple Interest and Compound Interest at the rate of 12% on the same amount for 3 years is Rs. 112.32. What is the principal amount if interest is compounded annually?

A) Rs. 25000 B) Rs. 2500
C) Rs. 50000 D) Rs. 5000
 
Answer & Explanation Answer: B) Rs. 2500

Explanation:

Let the principal amount be Rs. x
Calculating SI:
SI for 1 year at 12% rate is Rs (12/100)*x. For 3 years it will be Rs (36/100)*x ------ (1)
Calculating CI:
For 1st year, Interest = (12/100)*x
For 2nd year, interest = (12/100)*x + (12/100)*x + (144/10000)*x
For 3rd year, interest = (12/100)*x + (12/100)*x + (12/100)*x + (144/10000)*x + (144/10000)*x + (1728/1000000)*x. ------ (2)
Subtracting equation 2 and 1 and solving further,
312*144*x/1000000 = 112.32
X = Rs 2500.
Alternative way: Using formula for Difference
between CI and SI for 3 years

we can also use the above formula to find the value of P.

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Filed Under: Simple Interest
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Q:

A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

A) 21/3 days B) 48 days
C) 40 days D) 48/5 days
 
Answer & Explanation Answer: D) 48/5 days

Explanation:

Ans. 
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

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Filed Under: Time and Work
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Q:

One who is fond of fighting

A) Militant B) Aggressive
C) Bellicose D) Belligerent
 
Answer & Explanation Answer: C) Bellicose

Explanation:

The person one who is fond of fighting is known as Bellicose.

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Filed Under: English
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Q:

What does 'M' stand for in Roman numerals?

A) 1 B) 50
C) 500 D) 1000
 
Answer & Explanation Answer: D) 1000

Explanation:

Letters of the alphabet used in ancient Rome to represent numbers:

I = 1;

V = 5;

X = 10;

L = 50;

C = 100;

D = 500;

M = 1000.

The numbers one through ten are written I, II, III, IV, V, VI, VII, VIII, IX, and X.

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Filed Under: General Awareness
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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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Q:

Who has become world's no.1 Junior Badminton player in 2017 ?

A) Chia Hao Lee B) Lakshya Sen
C) Chirag Sen D) Karthikey Gulshan Kumar
 
Answer & Explanation Answer: B) Lakshya Sen

Explanation:

India's Lakshya Sen has become the World No 1 Junior Badminton player. He achieved the distinction in the latest rankings of the Badminton World Federation (BWF). Fifteen-year-old is the first shuttler from Uttarakhand to attain the numero uno spot at the international level. Lakshya, who is considered as the shining future star of Indian badminton, moved ahead of Chia Hao Lee of the Chinese Taipei, to attain the top spot. According to BWF current rankings, Lakshya has 16,903 points in eight tournaments he has played in the season. Chia Hao, who is at the second spot, has 16,091 points.

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Q:

Programs stored in ROM are called

A) Firmware B) Software
C) Hardware D) None of above
 
Answer & Explanation Answer: A) Firmware

Explanation:

ROM stands for read-only-memory.

 

It's used to store the start-up instructions for a computer, also known as the firmware.

 

Most modern computers use flash-based ROM. It is part of the BIOS chip, which is located on the motherboard.

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Q:

Fear of crossing road is called as

A) Emetophobia B) Aerophobia
C) Erythrophobia D) Agoraphobia
 
Answer & Explanation Answer: D) Agoraphobia

Explanation:

Fear of places and situations that might cause panic, helplessness or embarrassment is called Agoraphobia. 

Fear of crossing road causes some panic in them and comes under Agoraphobia.

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Filed Under: General Science
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