AIEEE Questions and Answers with Explanation

Q:

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles ?

A) 2413 sq.m	B) 1234 sq.m
C) 4312 sq.m	D) 2143 sq.m

Answer & Explanation Answer: C) 4312 sq.m

Explanation:

Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.

$2 πs$ = 264 and $2 πl$ = 352

s = $\frac{264}{2 π}$ and l = $\frac{352}{2 π}$

Difference between the areas = $π l^{2} - π s^{2}$

= $π (\frac{176^{2}}{π^{2}} - \frac{132^{2}}{π^{2}})$

= $\frac{1762}{π} - \frac{1322}{π}$

= (176 - 132)(176 + 132) / $π$

= (44 x 308) / (22/7) = 4312 sq.m

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Filed Under: Volume and Surface Area
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18 11602

Q:

Find the odd man out from the given alternatives ?

A) 97	B) 233
C) 437	D) 599

Answer & Explanation Answer: C) 437

Explanation:

Except 437 all others are prime numbers.

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33 11592

Q:

Two devices are in network if

A) a process is running on both devices	B) PIDs of the processes running of different devices are same
C) a process in one device is able to exchange information with a process in another device	D) All of the above

Answer & Explanation Answer: C) a process in one device is able to exchange information with a process in another device

Explanation:

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Filed Under: Computer
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15 11578

Q:

The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?

A) 54.21 kgs	B) 51.07 kgs
C) 52.66 kgs	D) 53.45 kgs

Answer & Explanation Answer: C) 52.66 kgs

Explanation:

Given total number of passengers in the bus = 45

First average weight of 45 passengers = 52 kgs

Average weight of 5 passengers who leave bus = 48

Average weight of 5 passengers who joined the bus = 54

Therefore, the net average weight of the bus is given by

$= \frac{45 x 52 - (5 x 48) + (5 x 54)}{45} = \frac{2370}{45} = \frac{158}{3} = 52.66 kgs .$

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Filed Under: Average
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31 11567

Q:

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A) 41%	B) 38%
C) 33%	D) 44%

Answer & Explanation Answer: B) 38%

Explanation:

% Change in Curved Surface Area is given by

$% Change in radius + % Change in height + \frac{% Change in radius \times % Change in height}{100}$

$\Rightarrow + 20 + 15 + \frac{20 \times 15}{100} = 38 %$

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Filed Under: Volume and Surface Area
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20 11551

Q:

If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ?

A) 5	B) 4
C) 20	D) 28

Answer & Explanation Answer: C) 20

Explanation:

Given (2a + 3b)/(5a - 3b) = 23/5
=> 10a + 15b = 115a - 69b
=> 105a = 84b => 5a = 4b
a/b = 4/5 => a=4 & b=5
=> bxa = 5x4 = 20.

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Filed Under: Ratios and Proportions
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7 11543

Q:

What has four wheels and flies?

Answer

Garbage truck.

It’s true, a garbage truck has 4 wheels and lots of flies because flies like garbage. Here flies means insects like houseflies, mosquitoes, ... It doesn't mean that it flies in the air.

Workspace

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11 11543

Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185	B) Rs. 154
C) Rs. 200	D) Rs. 177

Answer & Explanation Answer: C) Rs. 200

Explanation:

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14%
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

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Filed Under: Profit and Loss
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9 11541

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