Geometry (Part-2)

Total Questions: 50

11. In ∆ABC, M is the midpoint of the side AB. N is a point in the interior of ΔΑΒC such that CN is the bisector of ∠C and CN⊥NB. What is the length (in cm) of MN, if BC = 10 cm and AC = 15 cm? [SSC CGL Tier II (29/01/2022)]

Correct Answer: (b) 2.5
Solution:

12. The side of an equilateral ∆ABC is 3√7cm. P is a point on side BC such that BP : PC = 1 : 2. The length (in cm) of AP is: [SSC CGL 20/08/2021 (Evening)]

Correct Answer: (d) 7
Solution:

13. How many isosceles triangles with integer sides are possible such that the sum of two of the sides is 16 cm? [SSC CHSL 13/04/2021 (Evening)]

Correct Answer: (d) 24
Solution:

14. If a and b are the length of two sides of a triangle such that the product ab = 24, where a and b are integers, then how many such triangles are possible? [SSC CHSL 12/04/2021 (Evening)]

Correct Answer: (d) 16
Solution:

15. In ∆ABC AD is a median. If points E, F and G midpoints of AD, AE and DE, respectively, then what will be the area∆ BFG ? [SSC CHSL 12/04/2021 (Morning)]

Correct Answer: (c)
Solution:

16. D, E and F are the feet of the perpendiculars from the vertices A,B and C respectively, of a triangle ABC. If angle BED and angle BFE( in degrees) are 24 and 110, respectively, what is the measure of angle EBF? (in degrees) [SSC CHSL 06/08/2021 (Morning)]

Correct Answer: (d) 46
Solution:

17. Explain it- [SSC CHSL 21/10/2020 (Evening)]

Correct Answer: (c) 5/4
Solution:

18. The side MN of ∆LMN is produced by X. If ∠LNX = 117º and ∠M = 1/2 ∠L, then ∠L is: [SSC CHSL 19/10/2020 (Afternoon)]

Correct Answer: (b) 78º
Solution:

19. In the following figure (not to scale), ∠DAB+ ∠CBA = 90º , BC = AD, AB = 20 cm, CD = 10 cm, then the area of the quadrilateral (in cm²) ABCD is: [SSC CHSL 13/10/2020 (Afternoon)]

Correct Answer: (d) 75
Solution:

20. If in the given figure, ∠ACB + ∠BAC = 80º ; ∠BDE = 35º ; ∠BCE = 45º , then the marked angle ∠CED is: [SSC CHSL 13/10/2020 (Morning)]

Correct Answer: (c) 160°
Solution: