AIEEE Questions

Q:

a2 + b2 + c2 -ab- bc - ca = 0, iff

A) abc = -1 B) a = b = c
C) abc = 1 D) abc = 0
 
Answer & Explanation Answer: B) a = b = c

Explanation:

Here given formula is 

a2 + b2 + c2 -ab- bc - ca = 0

and it is possible if and only if a = b = c.

From the trial and error method, 

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

 

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

 

Hence, it is possible that 

a2 + b2 + c2 -ab- bc - ca = 0 iff  a = b = c.

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Filed Under: Arithmetical Reasoning
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Q:

Which State's chief minister has announced five lakh rupees health-cum-life insurance scheme for farmers in the state?

A) Telangana B) Uttar Pradesh
C) Gujarat D) Andhra Pradesh
 
Answer & Explanation Answer: A) Telangana

Explanation:
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Filed Under: Indian Politics
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Q:

MPG extension refers usually to what kind of file?

A) MS Office document B) Image file
C) Word Perfect Document file D) Animation/movie file
 
Answer & Explanation Answer: D) Animation/movie file

Explanation:
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Filed Under: Computer
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Q:

Which is first city in the world to get its own Microsoft font in 2017 ?

A) India B) Iran
C) Dubai D) Iraq
 
Answer & Explanation Answer: C) Dubai

Explanation:

Dubai has become the first city in the world to get its own Microsoft font.

ii. Sheikh Hamdan bin Mohammed bin Rashid Al Maktoum, Dubai's Crown Prince and Chairman of the Executive Council, launched the Dubai Font recently.

iii. The font, available in three styles as 'Dubai', 'Dubai Medium' and 'Dubai Light', can be in italics, underlined and bold.

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Filed Under: General Awareness
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Q:

Where are Enzymes found?

A) food B) human body
C) medicines D) none
 
Answer & Explanation Answer: B) human body

Explanation:

Enzymes play an essential role in each living cell of our body. Enzymes are globular proteins that control biological reactions. These are of two types.

1. Intracellular enzymes

2. Extracellular enzymes

 

Intracellular enzymes are found inside the cell.

Extracellular enzymes act outside the cell.

 

Enzymes are produced by exocrine glands.

Digestive enzymes of diverse specificities are secreted by the salivary glands, stomach, pancreas, and the small intestine.

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Filed Under: Biology
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Q:

What is more useful when it is broken?

Answer

An Egg is more useful when it is broken than it is not.

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Q:

Which continent has the least countries?

A) Africa B) South America
C) Antarctica D) Europe
 
Answer & Explanation Answer: C) Antarctica

Explanation:

Africa - 54 countries

South America - 12 countries

Antarctica - 0 countries

Europe - 43 countries.

 

Hence, Antarctica continent has the least countries.

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Q:

'Barren Island' which is the only active volcano in India is situated in?

A) Rajasthan B) Andaman-Nicobar
C) Chattisgarh D) Lakshadweep
 
Answer & Explanation Answer: B) Andaman-Nicobar

Explanation:

The only active volcano in India is situated in Andaman-Nicobar islands.

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