AIEEE Questions

Q:

Dilatory : Expeditious :: Direct : ?

A) Straight B) Curved
C) Circumlocutory D) Tortuous
 
Answer & Explanation Answer: C) Circumlocutory

Explanation:

The words in each pair are opposites of each other. 

Hence, Dilatory : Expeditious :: Direct : Circumlocutory.

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Filed Under: Analogy
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Q:

Assertion(A) : The pouring of kerosene oil on stagnant pools helps to eradicate malaria.
Reason(R) : The kerosene oil is poisonous for the mosquitoes.

A) R correctly explains A B) R is true but A is fale
C) A is true but R is false D) Both A and R are false
 
Answer & Explanation Answer: C) A is true but R is false

Explanation:

The kerosene oil sprayed on the water provodes a thin cating and the larvae of the mosquitoes are prevented from coming up to breathe. Thus, they die.
Hence, A is true but R is false.

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Filed Under: Assertion and Reason
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Q:

Minute is to hour as second is to

A) Milli seconds B) Hour
C) Minute D) All of the above
 
Answer & Explanation Answer: C) Minute

Explanation:

We know that, 60 minutes = 1 Hour. Similarly, 60 seconds = 1 Minute.

 

Therefore, Minute is to hour as second is to Minute.

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Q:

A duster is of dimension 5x5x7 all in cms,  is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ?

A) 96 % B) 4 %
C) 97 % D) 3 %
 
Answer & Explanation Answer: B) 4 %

Explanation:

Imension of the duster is assumed as 5x5x7 cm3

Volume of the duster below the water layer
= volume of water increased
= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3

Total volume of the duster = 5×5×7 = 175 cm3

Percentage of the duster part below the layer = 168×100/175 = 96%

Percentage of the duster part above the layer = 4%

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Filed Under: Percentage
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Q:

What is so delicate that even mentioning it breaks it?

Answer

Silence is what is so delicate that even mentioning it breaks it.

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Q:

A person who writes decoratively

A) Choreographer B) Cartographer
C) Calligrapher D) Collier
 
Answer & Explanation Answer: C) Calligrapher

Explanation:

A person who writes decoratively is known as Calligrapher.

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Q:

What is the quotient of 18/1000?

A) 1.8 B) 0.18
C) 0.018 D) 0.0018
 
Answer & Explanation Answer: C) 0.018

Explanation:

In these type of fractions, the decimal moves left the number of zeroes in the divisor times. Herein the given question 18/1000, there are 3 zeros in 1000 (divisor). Hence, the quotient is 0.018.

 

The quotient of 18/1000 = 0.018.

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Filed Under: Decimal Fractions
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Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

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Filed Under: Physics
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