AIEEE Questions

Q:

From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was:

A) 75 litres B) 100 litres
C) 150 litres D) 120 litres
 
Answer & Explanation Answer: D) 120 litres

Explanation:

wine(left)wine(added) = 343169

 

It means  wine(left)wine(initial amount) = 343512    (since 343 + 169 = 512)

  

Thus,  343x = 512x1 - 15k3

 

 343512 = 783 = 1 - 15k3

 

 1-15k=78=1-18

  

Thus the initial amount of wine was 120 liters.

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Filed Under: Alligation or Mixture
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29 7882
Q:

Who termed the Indian Constitution as  "Quasi Federal" ?

A) D.D. Basu B) K.C. Wheare
C) Ivor Jennings D) M.V. Paylee
 
Answer & Explanation Answer: B) K.C. Wheare

Explanation:
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Filed Under: Indian Politics
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31 7881
Q:

Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4?

A) 3/7 B) 7/11
C) 5/9 D) 6/13
 
Answer & Explanation Answer: C) 5/9

Explanation:

Here n(S) = 6 x 6 = 36

E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)}

=> n(E)=20

Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

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Filed Under: Probability
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35 7879
Q:

Where does a computer add and compare data?

A) CPU chip B) Hard disk drive
C) Memeory chip D) Disc drive
 
Answer & Explanation Answer: A) CPU chip

Explanation:

Central Processing Unit is the main part of the computer.

 

where_does_a_computer_add_and_compare_data1553491569.jpg image

 

CPU chip or main processor is that part in the computer which performs or executes all the instructions or programs.

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Filed Under: Computer
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5 7865
Q:

If the letters of the word VERMA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word VERMA is :

A) 108 B) 117
C) 810 D) 180
 
Answer & Explanation Answer: A) 108

Explanation:

The number of words beign with A is 4! 

The number of words beign with E is 4! 

The number of words beign with M is 4! 

The number of words beign with R is 4!

 

Number of words beign with VA is 3! 

Words beign with VE are VEAMR 

VEARM

VEMAR

VEMRA

VERAM

VERMA 

Therefore, The Rank of the word VERMA = 4 x 4! + 3! + 6 = 96 + 6 + 6 =108             

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Filed Under: Permutations and Combinations
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4 7863
Q:

In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ?

A) 6@53 B) %@53
C) 53%# D) %#35
 
Answer & Explanation Answer: B) %@53

Explanation:

From the given information :

D O W N A M E == 5 @ 9 # 6 % 3
MODE = %@53

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Filed Under: Coding and Decoding
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20 7858
Q:

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

A) 4987 B) 5784
C) 5223 D) 4741
 
Answer & Explanation Answer: C) 5223

Explanation:

Given, 

 

25% of three-seventh of 26% of a number is 145.5

 

Let the required number be 'N'

 

i.e, 25100x37x26100xN = 145.5

 

N = 145.5x7x1000075x26

 

=> N = 5223.07

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Filed Under: Percentage
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9 7854
Q:

Solve the Missing Number Puzzle ?

missing_number1501485405.jpg image

Answer

The rule followed here is


7 + 3 - 4 = 6


Similarly,


4 + 2 - 2 = 4


9 + 5 - 4 = 10


Hence, the missing numbers are 4 & 10.

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Subject: Number Puzzles Exam Prep: GATE , CAT , Bank Exams , AIEEE
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41 7853