Geometry (Railway Maths) (Part – V)

Total Questions: 50

31. Write a Pythagorean triplet whose smallest member is 8. [RRB NTPC 30/01/2021 (Evening)]

Correct Answer: (b) 8, 15, 17
Solution:

32. A rectangle having 34 cm and 18 cm as its dimensions was reconstructed to make a rhombus having the same perimeter as that of the rectangle and 120⁰ as one of its angles. The area of the rhombus in cm² was____. [RRB NTPC 31/01/2021 (Morning) ]

Correct Answer: (a) 338√3
Solution:

33. The points A, B and C lie on a circle with center O. <ACB = 46.5°. What is the measure of <AOB on the mirror AB? [RRB NTPC 31/01/2021 (Morning) ]

Correct Answer: (c) 93°
Solution:

34. A chord of length 24 cm is at a distance of 5 cm from the centre of a circle. The radius of the circle is ____ cm. [RRB NTPC 31/01/2021 (Evening)]

Correct Answer: (a) 13
Solution:

35. In a ΔABC, if 2∠A = 3∠B = 6∠C, then find the value of ∠C. [RRB NTPC 31/01/2021 (Evening)]

Correct Answer: (b) 30°
Solution:

36. The points A(1, 2), B(3, 4) and C(4, 1) are the vertices of a triangle which is: [RRB NTPC 01/02/2021 (Morning)]

Correct Answer: (d) isosceles
Solution:

37. The points A, B and C lie on a circle with centre O. The ∠ACB = 47.5°. What is the ∠AOB on the minor AB? [RRB NTPC 01/02/2021 (Evening)]

Correct Answer: (b) 95°
Solution:

38. If ABCD is a cyclic quadrilateral and ABC is an equilateral triangle, find the angle of CDA. [RRB NTPC 01/02/2021 (Evening)]

Correct Answer: (b) 120°
Solution:

39. The two unequal sides of a rectangle are in the ratio 3 : 4. If the perimeter is 42 cm, then the length of the diagonal will be: [RRB NTPC 02/02/2021 (Morning)]

Correct Answer: (c) 15 cm
Solution:

40. The perimeter of an equilateral triangle is 36 m and the length of its altitude is 6√3 m. The area of the triangle is: [RRB NTPC 03/02/2021 (Morning)]

Correct Answer: (a) 36√3 m²
Solution: