AIEEE Questions

Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39 B) 15/39
C) 12/13 D) None of these
 
Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize) 

 

 = 1-16C1× 14C1×12C1×10C116C4=1539

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Filed Under: Probability
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64 15885
Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill  ?

A) 8.21 min B) 8 min
C) 8.57 min D) 8.49 min
 
Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
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36 15853
Q:

Who has become the first Indian woman to scale Mount Everest for the fourth time  ? 

A) Anshu Jamsenpa B) Dickey Dolma
C) Lhakpa Sherpa D) Malavath Purna
 
Answer & Explanation Answer: A) Anshu Jamsenpa

Explanation:

Anshu Jamsenpa, the Indian mountaineer from Arunachal Pradesh, has scripted history by becoming the first Indian woman to scale the Mount Everest for the fourth time. She will attempt a double ascent to the world’s highest peak to make it a total five successful climbs. If she is successful with her double ascent this time, Ms Jamsenpa will set a record five climbs of Mt Everest.

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Filed Under: Famous Personalities
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12 15837
Q:

Find the total numbers greater than 4000 that can be formed with digits 2, 3, 4, 5, 6 no digit being repeated in any number ?

A) 120 B) 256
C) 192 D) 244
 
Answer & Explanation Answer: C) 192

Explanation:

We are having with digits 2, 3, 4, 5 & 6 and numbers greater than 4000 are to be formed, no digit is repeated.

 

The number can be 4 digited but greater than 4000 or 5 digited.

 

Number of 4 digited numbers greater than 4000 are
4 or 5 or 6 can occupy thousand place => 3 x P34 = 3 x 24 = 72. 

 

5 digited numbers = P55 = 5! = 120 

So the total numbers greater than 4000 = 72 + 120 = 192

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Filed Under: Permutations and Combinations
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21 15833
Q:

What about Earth allows it to maintain bodies of water?

A) mountains B) tides
C) moderate tempatures D) comet crashes
 
Answer & Explanation Answer: C) moderate tempatures

Explanation:

The moderate temperatures allow Earth to maintain bodies of water into its normal state.

Changes in the bodies of water in terms of volume and structure would change due to the change in temperature. 

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Filed Under: General Science
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13 15822
Q:

Genuine : Authentic : : Mirage : ?

A) Transpiration B) Illusion
C) Reflection D) Image
 
Answer & Explanation Answer: B) Illusion

Explanation:

Here the given pair of words are related in such a way that they are synonyms.

That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.

 

Hence, Genuine : Authentic : : Mirage : Illusion.

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Filed Under: Analogy
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9 15812
Q:

The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ?

A) 55.12 cm B) 22.54 cm
C) 42.51 cm D) 38.57 cm
 
Answer & Explanation Answer: D) 38.57 cm

Explanation:

We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cm
Given perimeter of square is twice the perimeter of rectangle = 2(30) = 60cm
Therefore, side of the square is = 1/4 x 60 = 15cm
Circumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

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Filed Under: Area
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6 15780
Q:

6 B in an O?

Answer

The given letter equation 6 B in an O refers to 6 Balls in an Over.

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