Aptitude and Reasoning Questions

Q:

Which figure completes the series?

 

Question Figures ::                    Answer Figures ::

101558010123.png image

   A      B      C       D          E            1     2      3        4       5

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

Explanation:

The pattern followed in the given figures is

 

 

 

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

 

 

 

 

 

 

 

Hence, figure 1) will come in the next to complete the series.

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Q:

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

A) 48 sq units B) 24 sq units
C) 12 sq units D) 6 sq units
 
Answer & Explanation Answer: B) 24 sq units

Explanation:

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

 

Here the two sides are 8 & 12

Angle = 150

 

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

 

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

 

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Q:

Surface roughness on a drawing is represented by

A) Circle B) Square
C) Curve D) Triangle
 
Answer & Explanation Answer: D) Triangle

Explanation:

surface_roughness_on_a_drawing_is_represented_by1557145719.png image

Surface roughness on a drawing is represented by the triangle.

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Q:

When the price of rice decrease by 10%, a girl could buy 1 kg more for Rs. 270. Then, the original price of the rice per kg is

A) Rs. 36 B) Rs. 30
C) Rs. 28 D) Rs. 40
 
Answer & Explanation Answer: B) Rs. 30

Explanation:

From the given data,

When the price of rice is decreased by 10%, the value of Rs. 270 would become

270 x 100/90 = 300

Now, the value 270 becomes 300

And given, the girl could buy 1 kg extra for that value

Change in value = 300 - 270 = Rs. 30

 

Therefore, 1 kg extra rice she can get for Rs. 30

 

=> The original price of rice = Rs. 30/kg.

 

As she gets only 9 kgs for Rs. 270 before 10% discount, now after discount she gets 10 kgs instead of 9 kgs for Rs. 270.  

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Q:

HCF of 1, 2, 3?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

Explanation:

Given numbers are 1, 2 and 3

Factors of 1 = 1

Factors of 2 = 1, 2

Factors of 3 = 1, 2 and 3

Common factors = 1

 

Hence, the HCF of 1, 2 and 3 = 1.

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Q:

56/32 simplified value?

A) 1.705 B) 1.450
C) 1.75 D) 7.50
 
Answer & Explanation Answer: C) 1.75

Explanation:

56/32 can be reduced as

 

56/32

= 28/16

= 14/8

= 7/4

= 1 3/4

= 1.75

 

Hence, simplified value of 56/32 =  3/4 = 1.75.

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2 65
Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::


sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image


 


Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Q:

any is nick name of

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