AIEEE Questions

Q:

The rate of change of linear momentum of a body falling freely under gravity is equal to it's ____ ?

A) Kinetic Energy B) Weight
C) Potential Energy D) Impulse
 
Answer & Explanation Answer: B) Weight

Explanation:

Rate of change of impulse equals the force . In case of freely falling body the only force is the weight.

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Filed Under: Physics
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63 15554
Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5 B) 5 : 4
C) 7 : 6 D) 6 : 7
 
Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
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3 2995
Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ?

A) 0.85 % B) 0.95 %
C) 1.0 % D) 1.3 %
 
Answer & Explanation Answer: B) 0.95 %

Explanation:

SP of first article = 1000
Profit = 30%
CP = (SP)x[100/(100+P)] = 10000/13

SP of second article = 1000
Loss = 20%
CP = (SP)x[100/(100-L)] = 5000/4 = 1250

Total SP = 2000

Total CP = 10000/13 + 1250 = 2019.23

CP is more than SP, he makes a loss.

Loss = CP-SP = 2019.23 - 2000 = 19.23
Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

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Filed Under: Profit and Loss
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6 4048
Q:

The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is  ?

A) 3 years B) 4 years
C) 2.5 years D) 2 years
 
Answer & Explanation Answer: B) 4 years

Explanation:

P1+20100n > 2P 

 

 

 

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

 

 

 

So, n = 4 years.

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Filed Under: Compound Interest
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11 4600
Q:

Find the one which does not belong to that group ?

A) America : Dollar B) India : Rupee
C) Australia : Pound D) Japan : Yen
 
Answer & Explanation Answer: C) Australia : Pound

Explanation:

Except Austriala : Pound, all others are correction combination of country and its currency.

Australian currency is Australian Dollar.

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Filed Under: Analogy
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7 2948
Q:

How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ?

A) 58 sec B) 62 sec
C) 60 sec D) 50 sec
 
Answer & Explanation Answer: D) 50 sec

Explanation:

The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.

Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps.

Time required = d/s = 500/10 = 50 sec.

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Filed Under: Problems on Trains
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8 7951
Q:

In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes  ?

A) 446 B) 415
C) 404 D) 430
 
Answer & Explanation Answer: D) 430

Explanation:

Let the total number of valid votes be 'V'.

70% of V = 70/100 x V = 7V/10

Number of votes secured by the other candidate = V - 7V/100 = 3V/10

Given, 7V/10 - 3V/10 = 172 => 4V/10 = 172

=> 4V = 1720 => V = 430.

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Filed Under: Percentage
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8 7654
Q:

A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum  ?

A) Rs. 5858 B) Rs. 8800
C) Rs. 7000 D) Rs. 6350
 
Answer & Explanation Answer: C) Rs. 7000

Explanation:

Let the sum be Rs. S.
(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840

=> 12S/100 = 840 => S = 7000.

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Filed Under: Simple Interest
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2 6517