5
Q:

# Wheels of diameters 7cm and 14cm start rolling simultaneously from x & y which are 1980 cm apart towards each other in opposite directions. Both of them make the same number of revolutions per second. If both of them meet after 10seconds.The speed of the smaller wheel is

 A) 22m/s B) 33m/s C) 44m/s D) 55m/s

Explanation:

let each wheel make x revolutions per sec. Then$2π*72*x+2π*7*x*10=1980$$2*227*72*x+2*227*72*x=198$

$66x=198$

distance moved by smaller wheel in 3 revolutions

=$2*227*72*3=66cm$

speed of smaller wheel = $663$ m/s = 22m/s

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 12936
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 6886
Q:

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

Explanation:

2 1635
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 13895
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 7827
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:

0 787
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:

1 777
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