0
Q:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

A) 15360 B) 153600
C) .30720 D) 307200

Answer:   B) 153600



Explanation:

Perimeter = Distance covered in 8 min. = (12000/60) * 8 = 1600m 

Let length = 3x metres and breadth = 2x metres.  

Then, 2(3x + 2x) = 1600 or x = 160.  

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) = 153600 

Q:

Which measurement unit represents volume?

A) milliliter B) Cubic centimeter
C) Meter cube D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:
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3 186
Q:

The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is

A) 60 B) 55
C) 45 D) 40
 
Answer & Explanation Answer: A) 60

Explanation:

From the given data,

let the length, breadth and height of the cuboid are m, n, r

m x n = 12

n x r = 20

r x m = 15

 

Hence, m x n x n x r x r x m = 12 x 20 x 15

mnr = sqrt of (12x20x15) = 60 cub.cm.

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6 276
Q:

If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is

A) 640 cub.cm B) 720 cub.cm
C) 860 cub.cm D) 945 cub.cm
 
Answer & Explanation Answer: B) 720 cub.cm

Explanation:

141544679317.PNG image

 

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1 382
Q:

Solve the triangle b=36 a=38 c=18 for perimeter of the triangle?

A) 74 units B) 92 units
C) 56 units D) 54 units
 
Answer & Explanation Answer: B) 92 units

Explanation:

We know, the perimeter of a triangle = sum of all the sides of a triangle = a + b + c

 

Here given that sides a = 38, b= 36 and c = 18

solve_the_triangle_b36_a38_c181537423406.jpg image

 

Now, perimeter of the triangle = a + b + c = 38 + 36 + 18 = 92 units.

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3 392
Q:

The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is?

A) 2759 cub. cm B) 2247 cub. cm
C) 2614 cub. cm D) 2311 cub. cm
 
Answer & Explanation Answer: D) 2311 cub. cm

Explanation:

Given Circumference of a circular base of a cylinder = 44 cm

We know that Circumference of a circle = 2πr = 44r = 22π

Now given the height of a cylinder h = 15 cm

Volume of a cylinder V = πr2h = π22π215 = 22 x 22 x 153.14 = 2311 cm3.

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19 1686
Q:

What is the Formula for Volume?

Answer

 The formula to find the volume is given by just multiplying Length, Breadth and Height of that object. 


 Thus, V = L x B X H  



Volume Formulae :   


1. Volume of Cube of side 's' = s x s x s = s3  cubic units.   


2. Volume of CylinderπR2h cubic units.  


[Where is Radius and h is height]

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13 1507
Q:

If radius and height of a cylinder increase by 20% and15% respectively. then what is the % change in curved surface area?

A) 41% B) 38%
C) 33% D) 44%
 
Answer & Explanation Answer: B) 38%

Explanation:

% Change in Curved Surface Area is given by 

%Change in radius + %Change in height + %Change in radius × %Change in height 100  

+20 + 15 + 20×15100 = 38%

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17 4129
Q:

A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit)

Volume of tank = 18 x 12 x 8 = 1728 cu.m

Water of this tank will suffice for = 1728/560 = 3 days.

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