List of top General Aptitude Questions on Geometry asked in CUET (UG)

In triangle ABC, the bisector of angle BAC meets BC at point D in such a way that AB = 10 cm, AC = 15 cm and BD = 6 cm. Find the length of BC (in cm).
The ratio of the supplementary and the complementary angles of an angle is 3 : 1. What is the supplementary angle of the given angle?
PQ and RS are common tangents to two circles intersecting at points A and B. A and B, when produced on both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm and XY = 5 cm, then PQ is:
In a circle of radius 13 cm, a chord is at a distance of 12 cm from the center of the circle. Find the length (in cm) of the chord.
In a square, the lengths of the diagonals are $(4k + 6)$ cm and $(7k - 3)$ cm. What is the area of the square (in cm²)?
What will be the measurement of the angle made by the hour and minute hands of a clock when the time is ‘quarter past 3’?
PQR is a triangle. The bisectors of the internal angle ∠Q and external angle ∠R intersect at M. If ∠QMR = 40°, then ∠P is:
In a triangle PQR, if ∠P + ∠R = 150° and ∠P + 3∠Q = 170°, then ∠P is:
In triangle ABC, points D and E are on AB and AC, respectively, such that DE is parallel to BC. If AD = 6 cm, DB = 4 cm, and AE = 9 cm, then the length of EC (in cm) is:
The volume of a cylinder having a base radius of 3 cm is 396 cm³. Find its curved surface area (in cm²). (Use $\pi = \frac{22}{7}$).