Geometry (Part-12)

Total Questions: 50

11. AB is a chord in the minor segment of a circle with centre O. C is a point between A and B on the minor arc AB. The tangents of the circle at A and B meet at the point D. If ∠ACB = 116° Then the measure of ∠ADB is: [SSC CGL 20/04/2022 (Afternoon)]

Correct Answer: (d) 52°
Solution:

12. PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR? [SSC CGL 20/04/2022 (Evening)]

Correct Answer: (a) 113°
Solution:

13. A circle is circumscribed on a quadrilateral ABCD, If ∠DAB = 100°, ∠ADB = 35° and ∠CDB = 40°, then find the measure of ∠DBC. [SSC CGL 20/04/2022(Evening)]

Correct Answer: (b) 60°
Solution:

14. The radii of two concentric circles with center O are 26 cm and 16 cm. Chord AB of the larger circle is tangent to the smaller circle at C and AD is a diameter. What is the Length of a CD? [SSC CGL 21/04/2022(Morning)]

Correct Answer: (d) 38
Solution:

15. In ΔABC, the perpendiculars drawn from A, B and C meet the opposite sides at points D,E and F respectively, AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then ∠AQB = ? [SSC CGL 21/04/2022 (Afternoon)]

Correct Answer: (d) 125°
Solution:

16. In the following figure, AD bisects angle BAC. Find the length (in cm) of BD? [SSC CGL 21/04/2022 (Afternoon)]

Correct Answer: (a) 4
Solution:

17. AB and CD are two chords in a circle O and AD is the diameter. when produced, AB and CD meet at the point P, If ∠DAP = 27º, ∠APD = 35º then what is the measures (in degrees) of ∠DBC ? [SSC CGL 21/04/2022 (Afternoon)]

Correct Answer: (a) 28
Solution:

18. In ∆PQR, S is a point on the side QR such that ∠QPS = 1/2 ∠PSR ∠QPR = 78° and ∠PRS = 44º. What is the measure of ∠PSQ ? [SSC CGL Tier II (29/01/2022)]

Correct Answer: (b) 64°
Solution:

19. G is the centroid of a triangle ABC, whose sides AB = 35cm, BC = 12 cm, and AC = 37cm. The length of BG (in cm) is (correct to one decimal place): [SSC CGL Tier II (29/01/2022)]

Correct Answer: (a) 12.3
Solution:

20. In ∆ABC, ∠B = 78 deg AD is a bisector of ∠A meeting BC at D, and AE⊥BC at E. If ∠DAE = 24º then the measure of ∠ACB is: [SSC CGL Tier II (29/01/2022)]

Correct Answer: (c) 30°
Solution: