An advertisement board is in the form of a triangle with sides 12 m, 22 m, and 20 m. What is the cost of painting it at the rate of ₹5 per m²?
(a) ₹480
(b) ₹500
(c) ₹491
(d) ₹520 (approx)

What is the area of an equilateral triangle with a side length of 4√3 cm?
(a) 12√3 cm²
(b) 16√3 cm²
(c) 9√3 cm²
(d) 24 cm²

A solid has:
(a) 0 dimensions
(b) 1 dimension
(c) 2 dimensions
(d) 3 dimensions

Which of the following is true based on Euclid’s axioms?
(a) The whole is less than the part.
(b) The whole is equal to the part.
(c) The whole is greater than the part.
(d) None of the above.

A “solid” is defined by Euclid as having:
A) Length and breadth only.
B) Length only.
C) No parts.
D) Length, breadth, and depth.

Two straight lines AB and CD intersect at a point O. If ∠AOC = 45°, then what is the measure of ∠BOD?
(a) 45°
(b) 55°
(c) 135°
(d) 90°

The perimeter of a triangle is 60 cm. If its sides are in the ratio 1 : 3 : 2, what is the length of the longest side?
(a) 10 cm
(b) 20 cm
(c) 30 cm
(d) 40 cm

In triangle PQR, if ∠P = 70° and ∠R = 40°, which side of the triangle is the longest?
(a) PQ
(b) QR
(c) PR
(d) Cannot be determined

If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:
(a) An isosceles triangle
(b) An obtuse triangle
(c) An equilateral triangle
(d) A right-angled triangle

If a transversal intersects two parallel lines, then the bisectors of any pair of corresponding angles are:
(a) Perpendicular
(b) Intersecting
(c) Parallel
(d) Coincident

According to Euclid’s definitions, which of the following has no parts?
(a) A line
(b) A surface
(c) A point
(d) A solid

The lengths of the sides of a triangle are 7 cm, 8 cm, and 9 cm. The length of the altitude to the longest side is:
(a) 4√5 cm
(b) 6√5 cm
(c) (8√5)/3 cm
(d) (12√5)/3 cm

An angle is 14° more than its supplementary angle. What is the measure of the angle?
(a) 83°
(b) 97°
(c) 104°
(d) 52°

How many lines can be drawn passing through two distinct given points?
(a) Zero
(b) One
(c) Two
(d) Infinitely many

Euclid’s first three postulates essentially state the usability of which two basic geometric tools?
A) Protractor and ruler
B) Straightedge and compass
C) Scale and protractor
D) Compass and T-square