AIEEE Questions

Q:

Simplify the following equation ?

2003 x 2004 - 2001 x 2002 = ?

A) 8010 B) 8020
C) 8030 D) 8040
 
Answer & Explanation Answer: A) 8010

Explanation:

(2000 + 3)(2000 + 4) - (2000 + 1)(2000 + 2) = ?
Since (2000 x 2000) - (2000 x 2000) is equal to zero. ?
= (8000 + 6000 + 12) - (4000 + 2000 + 2)
=> 14012 - 6002 = 8010.

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Filed Under: Simplification
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3 42177
Q:

What value will come in place of question mark (?) in following number series?

12, 16, 32, 68, ?

A) 198 B) 164
C) 132 D) 118
 
Answer & Explanation Answer: C) 132

Explanation:

Given series is 

 

12        16         32          68         ?

 

Here it follows a pattern that,

 

12

 

12 + (2x2) = 16

 

16 + (4x4) = 32

 

32 + (6x6) = 68

 

68 + (8x8) = 132

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Filed Under: Odd Man Out
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7 41949
Q:

1397 x 1397 = ?

Here what replaces '?' 

A) 1951609 B) 1821504
C) 2031489 D) 1847879
 
Answer & Explanation Answer: A) 1951609

Explanation:

1397 x 1397

Number System mcq solution image

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17 41781
Q:

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ?

A) 45 kmph B) 25 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: D) 50 kmph

Explanation:

Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec.
[(25/2) x (18/5)] km/hr = 45 km/hr.
Let the speed of the train be 'S' km/hr.
Then, relative speed = (S - 5) km/hr.
S - 5 = 45 => S = 50 km/hr.

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Filed Under: Problems on Trains
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48 41420
Q:

Find the next two numbers in the sequence

4, 12, 6, 18, 12, 26, 30, ?, ?

A) 36 & 90 B) 90 & 41
C) 45 & 36 D) 41 & 36
 
Answer & Explanation Answer: A) 36 & 90

Explanation:

the next 2 number in series we need to divide the series into 2 different series

First series : 4 , 6, 12, 30 ??

Second Series : 12,18,26, ??

So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :

 

  • Pattern of Series 1 :

 

6 divide 4 : 1.5

Next number i.e 12 divided by 6=2

Next number i.e 30 divided by 12 =2.5

So series is going in multiples of 1.5, 2, 2.5, 3 , so on

So first series will look like

4 , 6, 12, 30, 30x3 =90

 

  • Pattern of Series 2 : 12,18,26, ??

 

Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12)

Series will be like 12,18,26,36.

 

For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

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6 41391
Q:

A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?

A) 15% B) 16.66%
C) 20% D) data insufficient
 
Answer & Explanation Answer: C) 20%

Explanation:

103.33 CP- 0.95 CP = 65

 

 CP = Rs. 780 

 

profit (%) = (936 - 780)/780  x 100 = 20%

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Filed Under: Profit and Loss
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126 41054
Q:

Simplify

39.96% of 649.85 ÷13.07 = 45.14 - ?

A) 25 B) 26
C) 27 D) 28
 
Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 ÷13.07 = 45.14 - ? can be written as 

40% of 650 ÷13 = 45 - ?

 

40 x 65010013 = 45 - ?? = 45 - 20? = 25.

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4 40798
Q:

What is black when you buy it, red when you use it, and gray when you throw it away?

A) Shoe B) Charcoal
C) Belt D) All the above
 
Answer & Explanation Answer: B) Charcoal

Explanation:

What_is_black_when_you_buy_it,_red_when_you_use_it,_and_gray_when_you_throw_it_away1557491056.jpg image

It is Charcoal which is black when we buy it or when not being used. It gets red in appearance when put in use means to say when burning. And eventually when it's been consumed by fire or after getting burned out or used up, changes into ashes which look grey in color.

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Filed Under: Logic Puzzles
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145 40713