34
Q:

A room is half as long again as it is broad. The cost of carpeting the at Rs. 5 per sq.m is Rs. 270 and the cost of papering the four walls at Rs. 10 per sq.m is Rs. 1720. If a door and 2 windows occupy 8 sq. m, find the dimensions of the room.

A) b=6; l=18; H=6 B) b=5; l=6; H=18
C) l=6; b=18; H=15 D) l=5; b=18; H=18

Answer:   A) b=6; l=18; H=6



Explanation:

Let breadth = x metres, length = 3x metres, height = H metres. 

Area of the floor=(Total cost of carpeting)/(Rate) = (270/5) sq.m = 54 sq.m 

x×3x2=54x2=54×2x=6  

So, breadth = 6 m and length =362 = 9 m.

Now, papered area = (1720/10) =  172 sq.m 

Area of 1 door and 2 windows = 8 sq.m 

Total area of 4 walls = (172 + 8) sq.m = 180 sq.m 

2×9+6H=180H=6

Q:

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Its area is:

 

A) 48 cm2 B) 28 cm2
C) 69 cm2 D) 96 cm2
 
Answer & Explanation Answer: D) 96 cm2

Explanation:
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6 11859
Q:

In a triangle, if the measures of two sides are 5 cm and 8 cm, then the third side can be:

 

 

 

A) 3 cm B) 14 cm
C) 2 cm D) 4 cm
 
Answer & Explanation Answer: D) 4 cm

Explanation:
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2 6156
Q:

In the given figure, if AB=8Cm, AC=10Cm, ABD=90° and AD=17Cm, then the measure of CD is

 

 

A) 8 cm B) 9 cm
C) 11 cm D) 10 cm
 
Answer & Explanation Answer: B) 9 cm

Explanation:
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2 1599
Q:

In the given figure, APO=35° if then which of the following options is correct?

 

 

A) ∠APB = 60° B)  ∠APB = 80°
C)  ∠APB = 35° D) ∠APB = 55°
 
Answer & Explanation Answer: C)  ∠APB = 35°

Explanation:
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1 12880
Q:

The area of a semicircle is 77 sq.cm. Calculate its perimeter (in cm)

 

A) 72 B) 49
C) 98 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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0 7218
Q:

The length of the diagonal and the breadth of a rectangle is 25 cm and 7 cm respectively. Calculate its area (in sq.cm)

 

A) 336 B) 168
C) 240 D) 480
 
Answer & Explanation Answer: B) 168

Explanation:
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0 779
Q:

The area of an equilateral triangle is 18√3 sq.units. Find the value of side (in units) of the triangle.

 

A) √2 B) 2√2
C) 3√2 D) 6√2
 
Answer & Explanation Answer: D) 6√2

Explanation:
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1 773
Q:

An arc length of 16π units subtends an angle of 240 degrees. Find the radius 9in units) of the circle.

 

 

A) 6 B) 12
C) 24 D) 36
 
Answer & Explanation Answer: B) 12

Explanation:
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2 725