Problem Solving MCQ Set 12

Question: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

1. 1 : 6
2. 1 : 5
3. 1 : 25
4. 1 : 125

Question: If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius?

1. 37.5
2. 24
3. 9
4. 15

Question: The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?

1. 20 ft
2. 25 ft
3. 750 ft
4. 900 ft

Question: The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

1. 3 minutes
2. 2 minutes
3. 2.4 minutes
4. 2 minutes 40 seconds

Question: a and b are the lengths of the base and height of a right angled triangle whose hypotenuse is h. If the values of a and b are positive integers, which of the following cannot be a value of the square of the hypotenuse?

1. 13
2. 23
3. 37
4. 41

Question: The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the distance between the two points?

1. 30
2. 51.96
3. 47.32
4. 81.96