AIEEE Questions

Q:

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A) 81 B) 78
C) 80.5 D) 81.5
 
Answer & Explanation Answer: D) 81.5

Explanation:

Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5

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Filed Under: Average
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12 9806
Q:

What mouse walks on 2 legs?

A) Anonymouse B) Annabelle
C) House mouse D) Micky mouse
 
Answer & Explanation Answer: D) Micky mouse

Explanation:

Micky mouse was the mouse that walks on 2 legs.

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Filed Under: Word Puzzles
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6 9805
Q:

Which compound is a nonelectrolyte?

A) C2H6O B) HCl
C) Na2CO3 D) NaCl
 
Answer & Explanation Answer: A) C2H6O

Explanation:

C2H6O is a Non-electrolyte.

 

An electrolyte is a compound that conducts an electric current when it is in an aqueous solution or melted. In order to conduct a current, a substance must contain mobile ions that can move from one electrode to the other. All ionic compounds are electrolytes. When ionic compounds dissolve, they break apart into ions which are then able to conduct a current ( conductivity ). Even insoluble ionic compounds such as CaCO 3 are electrolytes because they can conduct a current in the molten (melted) state.

 

A nonelectrolyte is a compound that does not conduct an electric current in either aqueous solution or in the molten state. Many molecular compounds, such as sugar or ethanol, are nonelectrolytes. When these compounds dissolve in water, they do not produce ions.

 

Electrolytes are of 3 types ---- Strong Electrolytes, Weak Electrolytes and Non Electrolytes.

 

Strong Electrolytes ---- Compounds which completely dissolves. ( NaCl, Na2Co3, HCl )

Weak Electrolytes ----- Compounds which do not completely dissolves.

Non Electrolytes ------ Compounds which do not dissolves at all.

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Filed Under: Physics
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1 9803
Q:

Tractor : Trailer :: Horse : ?

A) Saddle B) Engine
C) Cart D) Stable
 
Answer & Explanation Answer: C) Cart

Explanation:

Here the given words are related in such a way that,

Trailer is pulled by Tractor and similarly, Cart is pulled by Horse.

 

Hence, Tractor : Trailer :: Horse : Cart.

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Filed Under: Analogy
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13 9794
Q:

A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?

A) 64 B) 56
C) 48 D) 40
 
Answer & Explanation Answer: A) 64

Explanation:

Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm
Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm


So, No. of small cubes formed = 1728/27 = 64.

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Filed Under: Volume and Surface Area
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5 9794
Q:

Atmospheric pressure exerted on earth is due to

A) gravitational pull B) rotation of earth
C) revolution of earth D) uneven heating of earth
 
Answer & Explanation Answer: A) gravitational pull

Explanation:

The atmospheric pressure at the surface of the Earth is due to gravitational pull of the earth and is about 14.7 psi.

 

That means that the weight of a column of air which has a cross section of 1 square inch and which stretches from the surface of the Earth to space is 14.7 pounds. 

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Filed Under: Physics
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7 9787
Q:

A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is

A) 1 : 10 B) 10 : 1
C) 9 : 11 D) 11 : 9
 
Answer & Explanation Answer: A) 1 : 10

Explanation:

Customer ratio of Milk and Water is given by

Milk          ::        Water

  6.4                         0

         81 + 38 =6411

 6411                      6410 - 6411 

=> Milk : Water = 110 : 11 = 10 : 1

 

Therefore, the proportionate of Water to Milk for Customer is 1 : 10

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Filed Under: Alligation or Mixture
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29 9786
Q:

Guess the Missing number in the Number Challenge ?

17952005_1270242106416224_3606280889628581173_n1499840598.jpg image

A) 8 B) 32
C) 44 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:

The logic in the challenge is

 81x6 = 9x6 = 54

144x7=84

 

 

Similarly, 64x8 = 8x8 = 64.

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Filed Under: Math Puzzles
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22 9785