Geometry (Railway Maths) (Part – IV)

Total Questions: 50

21. ΔABC is an equilateral triangle with side 12 cm. CD is the bisector of ∠C which meets AB at D and E is the mid-point of CD. What is the length of BE? [Level 2 (13/06/2022) Shift 2]

Correct Answer: (c) 3√7 cm
Solution:

22. In ΔABC, the bisectors of ∠B and ∠C intersect at P inside the triangle. If ∠BPC = 128°, then what is the measure of ∠A? [Level 3 (14/06/2022) Shift 1]

Correct Answer: (c) 76°
Solution:

23. Two chords AB and CD of a circle intersect at point F inside the circle. If AF = 4 cm, BF = 6 cm and CF = 3 cm, then find the length of CD. [Level 3 (14/06/2022) Shift 2]

Correct Answer: (b) 11 cm
Solution:

24. The bisector of ∠QPR of ΔPQR meets the side QR at S. If PQ = 12 cm, PR = 15 cm and QR = 18 cm, then the length of SR is: [Level 3 (14/06/2022) Shift 2]

Correct Answer: (a) 10 cm
Solution:

25. The sides AB, BC, CD and DA of a quadrilateral ABCD touch a circle at P,Q,R and S, respectively . if the AB =16 cm, DS = 10 cm and RC=3 cm, then find the perimeter of the quadrilateral ABCD (in cm). [Level 5 (15/06/2022) Shift 3 ]

Correct Answer: (c) 58
Solution:

26. The altitude of an equilateral triangle is 12 cm. What is the perimeter of the triangle? [Level 2 (16/06/2022) Shift 1 ]

Correct Answer: (b) 24√3 cm
Solution:

27. Find the answer of given question? [Level 2 (16/06/2022) Shift 1 ]

Correct Answer: (c) 148°
Solution:

28. ABCD is a cyclic quadrilateral whose side AB is a diameter of the circlethrough A,B,C and D. if <ADC = 129°, then what is the measure of <BAC? [Level 2 (16/06/2022) Shift 2 ]

Correct Answer: (a) 39°
Solution:

29. In the given figure, DE II BC. if AD = x, DB = x - 2, AE = x + 2 and EC = x - 1, then find the value of x. [Level 3 (17/06/2022) Shift 1 ]

Correct Answer: (b) 4
Solution:

30. ABC is an isosceles triangle in which AB = AC and BAC = 50⁰. Side BC is extended to D. Find the measure of <ACD. [Level 3 (17/06/2022) Shift 1 ]

Correct Answer: (d) 115⁰
Solution: