Geometry (Part-3)

Total Questions: 50

11. Let O be the centre of a circle and AC be its diameter. BD is a chord intersecting AC at E. Point A is joined at B and D. If ∠BOC = 50º and ∠AOD = 110º , then ∠BEC = [SSC CGL 10/06/2019 (Morning)]

1. (a) 80°
2. (b) 70°
3. (c) 55°
4. (d) 90°

Correct Answer: (a) 80°

Solution:

12. In a ∆ABC right angled at B, AB = 7 cm and (AC-BC) = 1 cm. The value of (secC + cotA) is: [SSC CGL 10/06/2019 (Morning)]

1. (a) 19/24
2. (b) 4/3
3. (c) 3/4
4. (d) 1

Correct Answer: (b) 4/3

Solution:

13. In a circle with centre O, PQR is a tangent at the point Q on it. AB is a chord in the circle parallel to the tangent such that ∠BQR = 70º What is the measure of ∠AQB ? [SSC CGL 07/06/2019 (Evening)]

1. (a) 40°
2. (b) 60°
3. (c) 55°
4. (d) 35°

Correct Answer: (a) 40°

Solution:

14. The base and altitude of an isosceles triangle are 10 cm and 12 cm respectively. Then the length of each equal side (in cm) is: [SSC CGL 07/06/2019 (Evening)]

1. (a) 10
2. (b) 7.5
3. (c) 8.5
4. (d) 13

Correct Answer: (d) 13

Solution:

15. ABCD is a quadrilateral whose side AB is the diameter of a circle through A, B, C and D. If angle ADC = 130º, then the measure of ∠BAC is: [SSC CGL 07/06/2019 (Afternoon)]

1. (a) 40°
2. (b) 45°
3. (c) 35°
4. (d) 50°

Correct Answer: (a) 40°

Solution:

16. In ∆ABC, ∠A is a right angle. The lengths of AC and BC are 6 cm and 10 cm respectively. Point D is on AB such that BD = 4 cm. What is the length of CD in (cm) ? [SSC CGL 07/06/2019 (Afternoon)]

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

Correct Answer: (a) 2√13

Solution:

17. AB is a diameter of a circle with centre O. CB is a tangent to the circle at B. AC intersects the circle at G. If the radius of the circle is 6 cm and AG = 8cm, then the length of BC is in (cm): [SSC CGL 07/06/2019 (Morning)]

1. (a) 2√5
2. (b) 6√6
3. (c) 2√6
4. (d) 6√5

Correct Answer: (d) 6√5

Solution:

18. In a circle with centre O, ACBO is a parallelogram where C is a point on the minor arc AB. What is the measure of ∠AOB? [SSC CGL 06/06/2019 (Afternoon)]

1. (a) 150°
2. (b) 100°
3. (c) 110°
4. (d) 120°

Correct Answer: (d) 120°

Solution:

19. The vertices of ∆PQR lie on a circle with centre O. SR is a tangent to the circle at the point R. If QR bisects the ∠ORS, then what is the measure of ∠RPQ? [SSC CGL 06/06/2019 (Afternoon)]

1. (a) 60°
2. (b) 45°
3. (c) 40°
4. (d) 30°

Correct Answer: (b) 45°

Solution:

20. In ∆ABC with sides 6 cm, 7 cm and 8 cm, the angle bisector of the largest angle divides the opposite side into two segments. What is the length of the shorter segment? [SSC CGL 06/06/2019 (Afternoon)]

1. (a) 24/5
2. (b) 21/5
3. (c) 48/13
4. (d) 56/13

Correct Answer: (c) 48/13

Solution:

Submit Quiz