Mensuration Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Consider an equilateral triangle of a side of unit length. A new equilateral triangle is formed by joining the midpoints of one, then a third equilateral triangle is formed by joining the mid-points of second. The process is continued. The perimeter of all triangles, thus formed is

a) 6 units

b) 2 units

c) 3 units

d) Infinity

Question : 2

Two straight lines AB and AC include an angle. A circle is drawn in this angle which touches both these lines. One more circle is drawn which touches both these lines as well as the previous circle. If the area of the bigger circle is 9 times the area of the smaller circle, then what must be the angle A?

a) 75°

b) 45°

c) 60°

d) 90°

Question : 3

In the figure given above, LM is parallel to QR. If LM divides the ΔPQR such that area of trapezium LMRQ is two times the area of ΔPLM, then what is ${PL}/{PO}$ equal to?

a) $1/2$

b) $1/√2$

c) $1/√3$

d) $1/3$

Question : 4

The medians of ΔABC intersect at G. Which one of the following is correct?

a) Three times the area of ΔAGB is equal to the area of ΔABC

b) Five times the area of ΔAGB is equal to four times the area of ΔABC

c) Four times the area of ΔAGB is equal to three times the area of ΔABC

d) None of the above

Question : 5

Consider a circle C of radius 6 cm with centre at O. What is the difference in the area of the circle C and the area of the sector of C subtending an angle of 80º at O?

a) 28π $cm^2$

b) 26π $cm^2$

c) 16π $cm^2$

d) 30π$cm^2$

Question : 6

A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze ?

a) 150 $m^2$

b) 154 $cm^2$

c) 308 $m^2$

d) None of these