Geometry (Railway Maths) (Part – III)

Total Questions: 50

21. If ABCD is a rhombus such that <ACB = 50°, then <BDC will be: [Group D 08/09/2022 (Evening) ]

Correct Answer: (c) 40°
Solution:

22. In the given figure, I || m and t is a transversal. If <1 and <2 are in the ratio 4 : 11, the measures of the angles <7 and <8, respectively, are: [Group D 09/09/2022 (Morning) ]

Correct Answer: (c) 132° and 48°
Solution:

23. In a quadrilateral ABCD, if the sum of angles ∠B and ∠D be 150° while angles ∠A and ∠C are in ratio 4 : 3, then the measure of ∠C will be: [Group D 09/09/2022 (Morning)]

Correct Answer: (b) 90°
Solution:

24. In ΔMNO, ∠N = ∠O and NO = 12 cm, MO = 10 cm and MP be the altitude, then the length of MP is: [Group D 09/09/2022 (Afternoon)]

Correct Answer: (a) 8 cm
Solution:

25. In the given figure, lines AB and CD are parallel to line FG. E is a point on the line FG. It is given that ∠ABE = 110°, ∠ECD = 95° and ∠BEC = x°. The value of x is: [Group D 09/09/2022 (Evening)]

Correct Answer: (a) 25°
Solution:

26. In the given figure, if ∆ABC and ∆ DEF are similar, then the ratio of CA to FD will be: [Group D 12/09/2022 (Morning) ]

Correct Answer: (d) 3 : 8
Solution:

27. In quadrilateral PQRS, the bisectors of ∠R and ∠S meet at the point T (inside the quadrilateral) and ∠STR = 87.5°. If the ratio of ∠P to ∠Q is 2 : 3, then what is the difference between the measures of ∠Q and ∠P ? [Group D 12/09/2022 (Afternoon)]

Correct Answer: (c) 35°
Solution:

28. The hypotenuse of a right-angled triangle is 2 more than twice of one of the sides, while the third side is 13 more than half of the hypotenuse. The length of the median to the hypotenuse is: [Group D 12/09/2022 (Afternoon)]

Correct Answer: (c) 17
Solution:

29. It is given that ΔABC ≅ ΔFDE and AB = 6 cm, ∠B = 60° and ∠A = 70°, then which of the following is true? [Group D 12/09/2022 (Evening)]

Correct Answer: (b) DF = 6 cm, ∠E = 50°
Solution:

30. In the given figure, in ∆ABC, DE || BC, AD = 7 cm, AE = 3.5 cm and DB = 6 cm cm. What is the value of AC ? [Note: Diagram is not drawn to scale or measurements indicated.] [Group D 13/09/2022 (Afternoon) ]

Correct Answer: (d) 6.5 cm
Solution: