Geometry (Part-13)

Total Questions: 35

31. The side BC of ∆ABC is produced to D. The bisectors of ∠ABC and ∠ACD meet at E. If AB = AC and ∠BEC = 35º, then the measure of ∠ABC will be: [SSC CHSL 16/04/2021 (Afternoon)]

1. (a) 75°
2. (b) 55°
3. (c) 35°
4. (d) 45°

Correct Answer: (b) 55°

Solution:

32. ∆PQR is inscribed in a circle. The bisector of ∠P cuts QR at S and the circle at T. If PR = 5cm, PS = 6 cm, and ST = 4 cm, then the length (in cm) of PQ ? [SSC CHSL 19/04/2021 (Morning)]

1. (a) 13
2. (b) 12
3. (c) 10
4. (d) 15

Correct Answer: (b) 12

Solution:

33. In ΔABC, D and E are points on sides AB and BC, respectively, such that BD : DA = 1 : 2 and CE : EB = 1 : 4 . If DC and AE intersect at F, then FD : FC is equal to: [SSC CHSL 19/04/2021 (Morning)]

1. (a) 3:2
2. (b) 5:2
3. (c) 8:3
4. (d) 4:1

Correct Answer: (c) 8:3

Solution:

34. Chords AB and CD of a circle are produced to meet at the point P, outside the circle, and AD is the diameter of the circle. If ∠DAP = 36º and ∠APC = 30º, then what will be the measure of ∠CBD? [SSC CHSL 19/04/2021 (Afternoon)]

1. (a) 34°
2. (b) 26°
3. (c) 24°
4. (d) 16°

Correct Answer: (c) 24°

Solution:

35. In ΔΑΒC, D is a median from A to BC, AB = 6cm, AC = 8 cm and BC = 10 cm. The length of median AD (in cm): [SSC CPO 24/11/2020 (Evening)]

1. (a) 3
2. (b) 4.5
3. (c) 4
4. (d) 5

Correct Answer: (d) 5

Solution:

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