AIEEE Questions

Q:

How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

A) 8 B) 9
C) 10 D) 11
 
Answer & Explanation Answer: B) 9

Explanation:

Perimeter = 36


⇒ 2 ( l + w ) = 36


⇒ l + w = 18


Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :


( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.


Hence, there are 9 rectangles.

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Filed Under: Arithmetical Reasoning
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Q:

Who wrote the social contract?

A) Jean-Jacques Rousseau B) Immanuel Kant
C) John Locke D) Voltaire
 
Answer & Explanation Answer: A) Jean-Jacques Rousseau

Explanation:

Jean-Jacques Rousseau (1712–1778), in his influential 1762 treatise The Social Contract, outlined a different version of social contract theory, as the foundations of political rights based on unlimited popular sovereignty.

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Q:

An object at rest may have

A) Momentum B) Potential energy
C) Velocity D) Kinetic energy
 
Answer & Explanation Answer: B) Potential energy

Explanation:

An object at rest may have Potential energy.

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14 7919
Q:

In a cricket match total number of runs scored by Virat, Dhoni and Rohit is 285. The ratio of the number of runs scored by Virat and Rohit is 3 : 2 and that of the runs scored by Rohit and Dhoni is also 3 : 2. The number of runs scored by Virat in that match?

A) 154 B) 135
C) 112 D) 106
 
Answer & Explanation Answer: B) 135

Explanation:

From the given data,

Virat : Rohit = 3 : 2

Rohit : Dhoni = 3 : 2

Ratio of runs scored by Virat, Rohit and Dhoni respectively

= 3 x 3 : 2 x 3 : 2 x 2

9 : 6 : 4

Runs scored by Virat = 9/19 x 285 = 135.

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Filed Under: Ratios and Proportions
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26 7910
Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989 B) Rs. 6540
C) Rs. 7844 D) Rs. 6789
 
Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

 C.I = P1+201002-1

 

5984 = 

 

=> P = (5995x25)/11

 

P = Rs. 13625

 

Now S.I = PTR/100

 

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Q:

Two metallic plate of equal thickness and coefficient thermal conductivity K1 and K2 put together face to face. A common plate is constructed. What is equivalent K? 

A) K1k2/k1+k2 B) 2k1k2/k1+k2
C) K1+k2/k1k2 D) None
 
Answer & Explanation Answer: B) 2k1k2/k1+k2

Explanation:

We know that,

 

The equivalent K =  L1 + L2L1K1+L2K2

 

where L1 & L2 are plate1 & Plate2 thicknesses, K1 & K2 are coefficient thermal conductivity of plate1 & Plate2 respectively.

 

But here L1 = L2 = L (say)

 

Then K = L+L/(L/K1 + L/K2)  =  2K1K2K1+K2

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Q:

Find the perimeter of the rectangle or square with the given dimensions l = 5 feet, w = 2 feet?

A) 11ft B) 13ft
C) 14ft D) 15ft
 
Answer & Explanation Answer: C) 14ft

Explanation:

We know that,

Perimeter of rectangle = 2(L+W) = 2(5 + 2) = 2 (7) = 14 fts.

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Filed Under: Area
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1 7908
Q:

Kilohertz is a unit which measures

A) Electromagnetic radio wave frequencies B) Electric resistance
C) Power used by a current of one ampere D) Voltage
 
Answer & Explanation Answer: A) Electromagnetic radio wave frequencies

Explanation:

The hertz (Hz) is defined as one cycle per second and is a SI unit of frequency. Here kilohertz is also a unit of frequency of waves and is defined as 1000 cycles per second. Radio waves are measured in kilohertz (KHz).

 

Kilohertz_is_a_unit_which_measures1561453991.jpg image

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Filed Under: Physics
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