AIEEE Questions

Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days B) 15 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

 

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
n2 + 39n - 550 = 0
 n2+ 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Filed Under: Arithmetical Reasoning
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Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7 B) 7:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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Filed Under: Time and Distance
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Q:

Solve this puzzle?

logical_thinking_puzzle11538732563.jpg image

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

Explanation:

Let the given be resembled in letters like R, G & B.

Here given,

1) R + R + R = 30

=> 3R = 30 => R = 30/3 = 10

 

2) R + G + G = 18 => R + 2G = 18 => 10 + 2G = 18 => 2G = 8 => G = 4

 

3) G - B = 2 => B = G - 2 => B = 4 - 2 => B = 2

 

Hence, R + G + B = 10 + 4 + 2 => 16.

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Filed Under: Math Puzzles
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Q:

Which Soil is Suitable for Agriculture?

A) Alluvial Soils B) Red Soils
C) Sandy Soils D) Peaty Soils
 
Answer & Explanation Answer: A) Alluvial Soils

Explanation:

1. Each type of soil benefits different types of crops through their unique physical, chemical and biological properties.

 

2. Alluvial Soils are best suitable for Agriculture. This soil is a fertile soil which is rich in potassium.

 

3. It is best especially for crops such as paddy, sugarcane,...

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Filed Under: Indian Geography
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Q:

Solve this Math puzzle?

math_number_puzzle1538999808.jpg image

A) 96 B) 88
C) 40 D) 19
 
Answer & Explanation Answer: A) 96

Explanation:

The given math puzzle follows a logic that,

1 + 4 = 5 => 1 x 4 + 1 = 5

2 + 5 = 12 => 2 x 5 + 2 = 12

3 + 6 = 21 => 3 x 6 + 3 = 21

 

Similarly,

8 + 11 = > 8 x 11 + 8 = 96.

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Filed Under: Math Puzzles
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Q:

The outer membrane that covers the lungs

A) Dura mater B) pleura
C) Pia mater D) Myelin sheath
 
Answer & Explanation Answer: B) pleura

Explanation:

The pleura is the membrane that covers the lungs, according to InnerBody. The pleura consists of two layers, with the parietal pleura forming the membrane's outer layer and the visceral pleura forming the membrane's inner layer.

 

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Filed Under: Biology
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Q:

Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, …" ?  

A) 0 B) 1
C) 4 D) 7
 
Answer & Explanation Answer: B) 1

Explanation:

The pattern follows the palindrome sequence.

Here the digits 0 1 4 7 8 5 8 3 6 9    9 6 3 8 5 8 7 4 1 0   0 1 4 7 ...

So the next digit in the sequence is 1.

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Filed Under: Number Series
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Q:

The NADPH required for the calvin cycle comes from

A) Reactions initiated in photosystem 1 B) Citric acid cycle
C) Reactions initiated in photosystem 2 D) Glycolysis
 
Answer & Explanation Answer: C) Reactions initiated in photosystem 2

Explanation:

ATP and NADPH produced by the light reactions are used in the Calvin cycle to reduce carbon dioxide to sugar. The Calvin cycle is similar to the Krebs cycle in that the starting material is regenerated by the end of the cycle.

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Filed Under: Biology
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