Geometry (Part-7)

Total Questions: 50

11. PQ is a diameter of a circle and PS is a chord. If PQ is 82 cm and PS is 80 cm, the distance (in cm) of PS from the center of the circle is: [Graduate Level 20/06/2024 (Shift-3)]

Correct Answer: (b) 9
Solution:

12. If the angles of a triangle are in the ratio of 9:11:16, then the difference between the greatest angle and the smallest angle is: [Graduate Level 21/06/2024 (Shift-3)]

Correct Answer: (d) 35°
Solution:

13. In ∆ABC and ∆PQR, AB = 7 m, BC = 8 m, AC = 9 m, PQ = 7 m, QR = 8 m and PR = 9 m. [Graduate Level 21/06/2024 (Shift-3)]

Which of the following is true for these triangles ?

Correct Answer: (b) ΔΑBC ≅ ΔPQR
Solution:

14. Select the correct statement about the properties of a triangle. [Graduate Level 24/06/2024 (Shift-3)]

Correct Answer: (a) The sum of two sides is always greater than the third side.
Solution:

In the triangle the sum of two sides is always greater than the third side.

15. ΔPQR and ΔАВС are two congruent triangles. If the area of ΔPQR is 225 cm², then the area of ΔABC is: [Graduate Level 25/06/2024 (Shift-3)]

Correct Answer: (d) 225 cm²
Solution:

16. If three angles of a triangle are (18x + 6º), (10x + 30º) and (15x + 15º), then the triangle is: [Graduate Level 25/06/2024 (Shift-3)]

Correct Answer: (b) equilateral
Solution:

17. ∆XYZ is an isosceles triangle such that XY = XZ It is given that YS ⊥ XZ and ZT ⊥ XY . What is the relation between YS and ZT? [Graduate Level 26/06/2024 (Shift-3)]

Correct Answer: (d) YS = ZT
Solution:

According to the question, we have given triangle

18. In ∆ABC AB = 9 cm and AC = 13 cm, then the length of BC could be: [Graduate Level 26/06/2024 (Shift-4)]

Correct Answer: (d) 20 cm
Solution:

19. In the following figure, angle A = angle P and AC = PR. [Graduate Level 26/06/2024 (Shift-4)]

Which of the following options needs to be satisfied for ∆PQR and ∆ABC to be congruent?

Correct Answer: (b) AB = PQ by SAS criteria
Solution:

20. Let ABC and PQR be two congruent triangles, such that ∠A= ∠P = 90°. If BC = 29 cm, PR = 21 cm, find the value (in cm) of AB. [SSC CHSL Tier II (02/11/2023)]

Correct Answer: (c) 20
Solution: