AIEEE Questions

Q:

In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box? 

A) 15 B) 18
C) 20 D) 24
 
Answer & Explanation Answer: C) 20

Explanation:

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones =  9 + 6 = 15

Hence,

3/4 ----- 15

 1   -----  ?

=> 15 x 4/3 = 20.

 

Hence, total number of stones in the box = 20.

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Filed Under: Probability
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Q:

Three friends Rudra, Siva and Anvesh start to run around a circular stadium. They complete a revolution in 24, 36 and 30 seconds respectively. After how many minutes will they meet at the starting point ?

A) 60 B) 120
C) 360 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

For this we have to find the LCM of 24, 36 and 30

LCM of 24, 36 and 30 = 360 sec

360/60 min = 6 minutes.

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Filed Under: Time and Distance
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Q:

Symbolic logic was discovered by ___________

A) Herman Hollerith B) Vonn Neumann
C) George Boole D) Sun Microsystem
 
Answer & Explanation Answer: C) George Boole

Explanation:
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Filed Under: Computer
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Q:

The Sivasamudram Falls is on which river ?

A) Ganga B) Saryu
C) Cauvery D) Krishna
 
Answer & Explanation Answer: C) Cauvery

Explanation:
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Filed Under: Indian Geography
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Q:

" Rani ki Vav " an archaeological attraction is located in which of the following states ?

A) Andhra Pradesh B) Telangana
C) Rajasthan D) Gujarat
 
Answer & Explanation Answer: D) Gujarat

Explanation:

Rani ki Vav meaning the Queen’s Stepwell is an archaeological site in the state of Gujarat. Beauitfully structured, the site has been included in the list of international heritage sites by UNESCO. With the help of the ambitious project, The Scottish Ten, Rani ki Vav is among the five heritage sites that would be recreated digitally for managment and conservation.

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Filed Under: Famous Places
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Q:

You can See, Smell and Taste microorganisms.

A) TRUE B) FALSE
Answer & Explanation Answer: B) FALSE

Explanation:

You cannot see a microorganisms without using a Microscope. You also cannot taste or smell microorganisms such as bacteria in contaminated food.

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Subject: Biology
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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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Q:

One lady has 2 children, one of her child is boy, what is the probability of having both are boys ?

A) 1/3 B) 1/2
C) 2/3 D) 2/5
 
Answer & Explanation Answer: A) 1/3

Explanation:

In a family with 2 children there are four possibilities:
1) the first child is a boy and the second child is a boy (bb)
2) the first child is a boy and the second child is a girl (bg)
3) the first child is a girl and the second child is a boy (gb)
4) the first child is a girl and the second child is a girl (gg)

But already given that one child is boy. So we have three possibilities of (bb)(bg)(gb).
n(E)= both are boys=BB=1
n(S)= 3
Required probability P = n(E)/n(S) = 1/3.

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Filed Under: Probability
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