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Q:

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A) 333 sq.mts B) 330 sq.mts
C) 362 sq.mts D) 432 sq.mts
 
Answer & Explanation Answer: D) 432 sq.mts

Explanation:

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

 

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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Q:

The stability triangle is used to describe

Answer

The stability triangle is used to describe the movement of center of gravity of a load vehicle like trucks. If the load is not balanced then it moves and may tip over it.


 


                                         the_stability_triangle_is_used_to_describe1533620821.jpg image


 


If you were to raise a lift truck up and look at its underside, you would see that the support points for the truck are located at points A, B, and C. The triangle formed between points A, B, and C is called the Stability Triangle. The lift truck will not tip over as long as the center of gravity remains inside the triangle.


 


The center of gravity is the point within a lift truck where there is equal weight all around it.

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Subject: Physics Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Two angles whose sum is 90 are

A) Supplementary angles B) corresponding angles
C) Complimentary angles D) Alternate angles
 
Answer & Explanation Answer: C) Complimentary angles

Explanation:

Complimentary angles are those two angles whose sum is 90 whereas two angles whose sum is 180 are called Supplementary angles.

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Q:

A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number?

A) 420 B) 210
C) 70 D) 35
 
Answer & Explanation Answer: B) 210

Explanation:

Let the required number be 'p'

We know, sum of angles in a triangle are 180 deg

According to given data,

p - p/7 = 180

7p - p = 180 x 7

=> 6p = 1260

=> p = 1260/6 = 210

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Q:

How many right angles does a square have?

A) 2 B) 6
C) 4 D) 8
 
Answer & Explanation Answer: C) 4

Explanation:

A square and a rectangle each have 4 right (90 deg) angles. 

Both square and rctangle have 4 sides and 4 angles, but the only difference is square is a rectangle with all sides equal.

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Q:

Find the area of the square whose side is equal to the diagonal of a rectangle of length 3 cm and breadth 4 cm. 

A) 25 sq.cm B) 16 sq.cm
C) 9 sq.cm D) 4 sq.cm
 
Answer & Explanation Answer: A) 25 sq.cm

Explanation:

Given length of the rectangle = 3 cm

Breadth of the rectangle = 4 cm

Then, the diagonal of the rectangle D = 32 + 42 = 25 = 5

Then, it implies side of square = 5 cm

We know that Area of square = S x S = 5 x 5 = 25 sq.cm.

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Q:

With similar triangles the corresponding angles are equal.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

The given statement about similar triangles is TRUE.


 


Similar Triangles Theorem :: Similar triangles are two triangles with corresponding angles of equal measure, and the ratios of their corresponding sides' lengths are equal.

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Subject: Arithmetical Reasoning
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Q:

Angle of Elevation means

Answer

In Heights and Distances,


The angle of elevation of an object is the angle between the horizontal and the line of sight that is the line from the object to the observer's eye.

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Subject: Height and Distance Exam Prep: AIEEE , Bank Exams , CAT
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