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

Question : 1

What is the area of the largest circular disc cut from a square of side $2/√π$ units?

a) $π^2$ square units

b) π square units

c) 1 square unit

d) 2 square units

Question : 2

If a square of side x and an equilateral triangle of side y are inscribed in a circle, then what is the ratio of x to y ?

a) $3/√2$

b) $√{2/3}$

c) $√{3/2}$

d) $√2/3$

Question : 3

a, b, c, b are non-zero integers such that (ab) divides (cd). If a and c are coprime, then which one of the following is correct?

a) a is a factor of d

b) a is a factor of c

c) a is a factor of b

d) d is a factor of a

Question : 4

The cross section of a canal is a trapezium in shape. If the canal is 7 metres wide at the top and 9 metres at the bottom and the area of cross-section is 1280 square metres, find the height of the canal.

a) 154 metres

b) 160 metres

c) 172 metres

d) None of these

Question : 5

Assertion (A)
Triangles on the same base and between the same parallel lines are equal in area.
Reason (R)
The distance between two parallel lines is same everywhere.

a) A is true but R is false

b) Both A and R individually true and R is the correct explanation of A

c) Both A and R are individually true but R is not the correct explanation of A

d) A is false but R is true

Question : 6

If the sum of the circumferences of two circles with radii $R_1$ and $R_2$ is equal to the circumference of a circle of radius R, then

a) $R_1 + R_2$ < R

b) $R_1 + R_2$ = R

c) $R_1 + R_2 > R_3$

d) Nothing definite can be said about the relation among $R_1.R_2$ and R