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

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

$x×3x2=54⇒x2=54×2⇒x=6$

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

$2×9+6H=180⇒H=6$

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

Explanation:

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

Explanation:

2 6156
Q:

In the given figure, if A) 8 cm B) 9 cm C) 11 cm D) 10 cm

Explanation:

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°

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

1 773
Q:

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

 A) 6 B) 12 C) 24 D) 36