Geometry (Part-4)

Total Questions: 50

31. In a triangle, the lengths of sides are 6 units, 12 units and x units. How many possible integer values are there for x? [SSC CGL 17/09/2024 (3rd Shift)]

Correct Answer: (c) 11
Solution:

32. If a triangle has a perimeter of 52 units, then all its sides have length_______units. [SSC CGL 17/09/2024 (3rd Shift)]

Correct Answer: (a) <26
Solution:

33. A chord of length 32 cm is drawn at a distance of 12 cm from the centre of a circle. Find the radius of the circle. [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (c) 20 cm
Solution:

34. In a circle with centre O, AOC is the diameter. B is a point on the circumference of the circle such that arc AB is 1/5 of the arc BC. What is the degree measure of ∠BOC ? [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (b) 150°
Solution:

35. If ∆ABC and ∆QPR are congruent triangles such that AB = 7cm AC = 8 cm, ∠B = 65º and ∠C = 75º, then which of the following is true? [SSC CGL 18/09/2024 (1st Shift)]

Correct Answer: (b) PQ = 7 cm and ∠R = 75º
Solution:

36. On a circle of radius 7 units, PQ and QR are chords of length 7 units each. What is the length of the chord PR in units? [SSC CGL 18/09/2024 (2nd Shift)]

Correct Answer: (d)
Solution:

37. If arcs PAQ and RBS of a circle are congruent, then find the ratio of PQ and RS. [SSC CGL 18/09/2024 (2nd Shift)]

Correct Answer: (c) 1:1
Solution:

38. In a ∆PQR, PQ = PR and PT is perpendicular to QR. If PQ = 17 cm, PT = 15 cm, then what is the measure (in cm) of QR? [SSC CGL 18/09/2024 (2nd Shift)]

Correct Answer: (c) 16
Solution:

39. Two equal circles pass through each other's centre. If the radius of each of the circle is 13 cm, then what is the length of the common chord? [SSC CGL 18/09/2024 (3rd Shift)]

Correct Answer: (d) 13√3
Solution:

40. The side MN of a parallelogram MNOP is produced to Q such that MN = NQ. PQ intersects ON at R. The point R divides ON in the ratio: [SSC CGL 18/09/2024 (3rd Shift)]

Correct Answer: (d) 1:1
Solution: