Mensuration Model Questions Set 2 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The length of a minute hand of a wall clock is 9 cm. What is the area swept (in $cm^2$) by the minute hand in 20 min? (take π = 3.14)

a) 67.74

b) 88.78

c) 84.78

d) 57.78

Question : 2

A large water tank has the shape of a cube. If 128 $m^3$ of water is pumped out, the water level goes down by 2 m. Then the maximum capacity of the tank is

a) 324 $m^3$

b) 512 $m^3$

c) 480 $m^3$

d) 256 $m^3$

Question : 3

Consider the following statements : Two triangles are said to be congruent, if

1. Three angles of one triangle are equal to the corresponding three angles of the other triangle.
2. Three sides of one triangle are equal to the corresponding three sides of the other triangle.
3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle.
4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.

a) 1, 2 and 4

b) 1, 2 and 3

c) 1, 3 and 4

d) 2, 3 and 4

Question : 4

Let the incircle to a ΔABC touch BC, AC and AB respectively at the points X, Y and Z.

• Statement I
• If AB > BC, then AB + AZ < BC + XC
• Statement II
• AZ = AY

a) Statement I is correct and Statement II is incorrect

b) Statement I and II are correct and Statements II is the correct explanation of Statement I

c) Statement I and II are correct and Statement II is not the correct explanation of Statement I

d) Statement I is incorrect and Statement II is correct

Question : 5

In the figure given below, what is ∠BCD equal to?

a) 80°

b) 70°

c) 75°

d) 90°

Question : 6

A hollow right circular cylindrical vessel of volume V whose diameter is equal to its height, is completely filled with water. A heavy sphere of maximum possible volume is then completely immersed in the vessel. What volume of water remains in the vessel ?

a) ${2V}/3$

b) $V/2$

c) $V/3$

d) $V/4$