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

Question : 1

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 : 2

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 : 3

In the figure given above, what is ∠CBA?

a) 50°

b) 30°

c) 45°

d) 60°

Question : 4

In the figure given above, AB is a diameter of the circle with centre O and EC = ED. What is ∠EFO?

a) 25°

b) 15°

c) 20°

d) 30°

Question : 5

In the given triangle, AB is parallel to PQ. AP = c, PC = b, PQ = a, AB = x. What is the value of x?

a) $b + {ca}/b$

b) $a + {ab}/c$

c) $a + {bc}/a$

d) $a + {ac}/b$

Question : 6

Using the data in the above question, what is the breadth of the rectangle ?

a) 8

b) 6

c) 12

d) 10