Geometry (Part-3)

Total Questions: 50

31. Which of the following has the maximum number of vertices? [SSC CPO 14/03/2019 (Evening)]

Correct Answer: (a) Cuboid
Solution:In the given solid figures. Cuboid has the maximum no. of vertex i.e 8

32. In a triangle PQR, incentre is A and ∠QAR = 116°. Find the measure of ∠QPR. [SSC CHSL Tier II (18/11/2024)]

Correct Answer: (a) 52°
Solution:

33. The numbers of Commerce, Science and Arts postgraduates working in a company are 40, 80 and 60, respectively. are If these figures represented by a pie chart, then what is the angle corresponding to Commerce postgraduates? [SSC CHSL Tier II (18/11/2024)]

Correct Answer: (d) 80º
Solution:Angle corresponding to commerce postgraduates = 40/180 × 360º = 80º

34. A quadrilateral having equal diagonals and equal opposite sides is always a _________ . [SSC CHSL Tier II (18/11/2024)]

Correct Answer: (d) rectangle

35. ABCD is a trapezium in which AB is parallel to CD, and E and F are the mid -points of non - parallel sides AD and BC. If EF is parallel to AB, AB = 28 cm and CD = 18 cm, then find EF (in cm). [SSC CHSL Tier II ((18/11) / 2024)]

Correct Answer: (d) 23
Solution:

36. The centroid of a ∆XYZ is G. The area of ∆ΧΥΖ is 45 cm². The area of ∆GYZ is: [SSC MTS 08/10/2024 (Evening)]

Correct Answer: (c) 15 cm²
Solution:

37. A quadrilateral ABCD has sides AB = 5 units, BC = 12 units, CD = DA and ∠ABC = ADC = 90°. What is the area of the quadrilateral (in square units)? [SSC MTS 12/11/2024 (Morning)]

Correct Answer: (d) 72.25
Solution:

38. If the perimeter of an equilateral triangle is 24 cm, then the length of each median is: [SSC MTS 12/11/2024 (Morning)]

Correct Answer: (c) 4√3 cm
Solution:

39. ABCD is a quadrilateral in which diagonal BD = 62 cm, AL ⊥ BD and CM ⊥ BD, such that AL = 14.3 cm and CM = 17.7 cm. The area of the quadrilateral ABCD is: [SSC MTS 14/11/2024 (Morning)]

Correct Answer: (c) 992 cm²
Solution:

40. Which of the following statements is sufficient to conclude that two triangles are congruent ? [SSC CGL 09/09/2024 (1st Shift)]

Correct Answer: (a) These have two equal sides and the same perimeter
Solution:If two sides of both triangle are equal and the perimeteris the same, the third side must also be equal because the perimeter is the sum of all sides.Therefore, all three sides of both triangle would be equal, satisfying the SSS (Side-Side-Side) congurence condition. So Option (a) is sufficient to conclude that the two triangles are congruent.