Geometry (Part-9)

Total Questions: 50

31. In ΔΑBC, D and F are the middle points of the sides AB and AC, respectively. E is a point on the segment DF such that DE : EF = 1 : 2. If DE 4 cm, then BC is equal to [Graduate Level 27/06/2023 (Shift-4)]

Correct Answer: (d) 24 cm
Solution:

32. R and S are the points of the sides XY and XZ, respectively, of ∆XYZ. Also, XR = 15 cm, XY = 25 cm, XS = 12 cm and XZ = 20 cm. RS is equal to: [Graduate Level 27/06/2023 (Shift-4)]

Correct Answer: (c)
Solution:

33. Let A,B,C be the mid-points of sides XY,YZ and XZ, respectively of ∆XYZ. If the area of ∆XYZ is 8464 сm², then find the area (in "cm²") of ∆ABC. [Higher Secondary 27/06/2023 (Shift-3)]

Correct Answer: (a) 2116
Solution:

34. If sums of the radii and distance between the centres of two circles are equal, then: [SSC CHSL Tier II (26/06/2023)]

Correct Answer: (b) the circles touch externally
Solution:

35. AD is a tangent of a circle, and ABC is the secant. If AB = 8 cm and BC = 10 cm, then find the length of AD. [SSC CHSL Tier II (26/06/2023)]

Correct Answer: (d) 12 cm
Solution:

36. Angle subtended by a chord xy on the centre of a circle is 180 degree. If the length of this chord is 36 cm, then what will be the radius of this circle? [SSC CHSL 09/03/2023 (1st Shift)]

Correct Answer: (b) 18 cm
Solution:

37. The radii of two concentric circles are x cm and 26 cm. P and S are the points on larger circle and Q and R are points on smaller circle. If PQRS is a straight line and QR = 40 cm and PS = 48 cm, then what is the value of x? (x < 26 cm) [SSC CHSL 09/03/2023 (4th Shift)]

Correct Answer: (b) 10√5cm
Solution:

38. In ∆XYZ, ∠Y = 90 degree and YN is perpendicular to XZ. If XY = 30 cm and XZ = 34cm, then what is the value of YN? [SSC CHSL 09/03/2023 (4th Shift)]

Correct Answer: (d)
Solution:

39. In a ∆RST, Z is a point on side ST and SZ = ZT. If ∠RZS = 90 degree and RS = 10 cm, then what is the value of RT? [SSC CHSL 09/03/2023 (4th Shift)]

Correct Answer: (b) 10 cm
Solution:

40. The length of the rectangular sheet of paper is 24 cm more than the breadth and perimeter of the rectangular sheet is 128 cm. Find the length of the rectangular sheet. [SSC CHSL 10/03/2023 (2nd Shift)]

Correct Answer: (b) 44 cm
Solution: