Mensuration – SSC CGL Mock Test

A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm$^2$) of the third ball?

In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 15 cm and CD = 9 cm, then CB (in cm) = ?

ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC?

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is:

In a circle with centre O and of radius 13 cm, two parallel chords are drawn on different sides of the centre. If the length of one chord is 10 cm and the distance between the two chords is 17 cm, then find the difference in lengths of the two chords (in cm).

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is: (take π = 22/7)

A race track is in the shape of a ring whose inner and outer circumferences are 440 m and 506 m, respectively. What is the cost of levelling the track at Rs 6/m$^2$ (take $\pi = \frac{22}{7}$)?

A circle with centre O has radius 15 cm. D is a point on the circle such that a 24 cm long chord AB is bisected by OD at point C. Find the length of CD (in cm).

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If $\angle$ ROS = 42º, then the measure of $\angle$ PTQ is