AIEEE Questions

Q:

Find the least number by which 175760 be divided to make it a perfect cube.

A) 6 B) 10
C) 9 D) 30
 
Answer & Explanation Answer: B) 10

Explanation:

175760 =2³ x 2 x 5 x 13³
= 2³ x 2 x 5 x 13³

To make perfect cube, it must be divided by 2 x 5 = 10

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Filed Under: Arithmetical Reasoning
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20 16602
Q:

The Ozone Layer restricts from

A) Infrared Rays B) Radio waves
C) Ultraviolet Radiation D) X-Rays and Gamma Rays
 
Answer & Explanation Answer: C) Ultraviolet Radiation

Explanation:

The Ozone layer which is present in the Earth's atmosphere protects it by restricting from UV or Ultraviolet radiation, the dangerous rays contained by Sun.

the_ozone_layer_restricts_us_from1542267550.jpg image

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51 16596
Q:

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

A) 24 lit B) 16 lit
C) 32 lit D) 8 lit
 
Answer & Explanation Answer: C) 32 lit

Explanation:

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

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Filed Under: Alligation or Mixture
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36 16558
Q:

Happiness is to 517768399 as senipah is to

A) 9836715 B) 9386615
C) 9386715 D) 9386517
 
Answer & Explanation Answer: C) 9386715

Explanation:

If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9.

Using the numbers that relate to the letters in 'senipah', you will arrive at

SENIPAH = 9386715.

 

Hence, Happiness is to 517768399 as senipah is to 9386715.

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42 16481
Q:

Count the number of triangles and squares in the given figure.

A) 36 triangles, 7 Squares B) 38 triangles, 9 Squares
C) 40 triangles, 7 Squares D) 42 triangles, 9 Squares
 
Answer & Explanation Answer: C) 40 triangles, 7 Squares

Explanation:

The figure may be labelled as shown 

 

 

Triangles :

 


The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number

 

The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.

 

The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.

 

Total number of triangles in the figure = 18 + 16 + 6 =40.

 

Squares :

 


The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number

 

The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number

 

Total number of squares in the figure = 3 + 4 =7

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Filed Under: Analytical Reasoning
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91 16473
Q:

Sanjeev ranks seventh from the top and twenty eighth from the bottom in a class. How many students are there in the class?

A) 33 B) 36
C) 35 D) 34
 
Answer & Explanation Answer: D) 34

Explanation:

Total number of students in the class = 28 + 6 i.e, from top(7-1)

28 + 6 = 34  

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64 16442
Q:

The reduction potential of hydrogen half-cell will be negative if :
(1) PH2= 2 atm and [H+] = 2.0 M
(2) PH2= 1 atm and [H+] = 2.0 M
(3) PH2= 1 atm and [H+] = 1.0 M
(4) PH2= 2 atm and [H+] = 1.0 M

A) Option 1 B) Option 2
C) Option 3 D) Option 4
 
Answer & Explanation Answer: D) Option 4

Explanation:

 H+-e-12H2   

Apply Nernst equation  

 

E=0-0.0591logPH212H+  

 

 E=-0.0591log2121  

 

Therefore E is Negative

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Filed Under: Chemistry
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26 16442
Q:

If the volume of the cube is 729 cm3, then the surface area of the cube will be

A) 486 sq.cm B) 456 sq.cm
C) 446 sq.cm D) 476 sq.cm
 
Answer & Explanation Answer: A) 486 sq.cm

Explanation:

volume = a3 = 729;

=> a = 9

 

surface area= 6a2 =  (6 x 9 x 9) = 486 sq.cm

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Filed Under: Volume and Surface Area
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19 16410