Geometry (Part-2)

Total Questions: 50

21. XYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of ∆GLM : Area of ∆XYZ) [SSC CHSL 12/10/2020 (Afternoon)]

Correct Answer: (b) 1 : 12
Solution:

22. PA and PB are tangents to the circle and O is the centre of the circle. The radius is 5 cm and PO is 13 cm. If the area of the triangle PAB is M, then the value of √(M/15) is: [SSC CHSL 18/03/2020 (Morning)]

Correct Answer: (b) 24/13
Solution:

23. In the given figure, MP is the tangent to a circle with centre A and NQ is a tangent to a circle with centre B. If MP = 15cm, NQ = 8cm, PA = 17 cm and BQ = 10cm then AB is: [SSC CGL 07/03/2020 (Morning)]

Correct Answer: (c) 14 cm
Solution:

24. In the figure, two circles with centres P and Q touch externally at R. Tangents AT and BT meet the common tangent TR at T. If AP = 6cm and PT = 10 cm, then BT = ? [SSC CGL 05/03/2020 (Evening)]

Correct Answer: (c) 8 cm
Solution:

25. PRT is a tangent to a circle with centre O, at the point R on it. Diameter SQ of the circle is produced to meet the tangent at P and QR is joined. If ∠QRP = 28°, then the measure of ∠SPR is: [SSC CGL 04/03/2020 (Afternoon)]

Correct Answer: (b) 34°
Solution:

26. PQRS is a cyclic quadrilateral in which PQ = x cm, QR = 16.8 cm, RS = 14 cm and PS = 25.2 cm and PR bisects QS. What is the value of x ? [SSC CGL 03/03/2020 (Afternoon)]

Correct Answer: (b) 21
Solution:

27. In ΔABC, ∠C = 90º M and N are the mid-points of the sides AB and AC respectively. CM and BN intersect each other at D and ∠BDC = 90º. If BC = 8 cm, then the length of BN is: [SSC CPO 13/12/2019 (Morning)]

Correct Answer: (c) 4√6 cm
Solution:

28. Two equilateral triangle of side 10√3 cm are joined to form a quadrilateral. What is the altitude of the quadrilateral ? [SSC CPO 12/12/2019 (Evening)]

Correct Answer: (d) 15 cm
Solution:

29. The lengths of the parallel sides of a trapezium are 51 cm, and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm²) of the trapezium? [SSC CPO 12/12/2019 (Morning)]

Correct Answer: (b) 1296
Solution:

30. ABCD is a cyclic quadrilateral. Sides AB and DC, when produced, meet at E, and sides BC and AD, when produced, meet at F. If ∠BFA = 60º and ∠AED = 30º , then the measure of ∠ABC is: [SSC CPO 12/12/2019 (Morning)]

Correct Answer: (b) 75°
Solution: