30. The number of lines passing through five points such that no three of them are collinear is
- (A) 10
- (B) 5
- (C) 20
- (D) 8
29. What is the measure of the smaller angle formed by the hour and the minute hands of a clock at 7 O’clock?
- (A) 120°
- (B) 130°
- (C) 150°
- (D) 180°
28. A pair of opposite sides of a trapezium are
- (A) Parallel
- (B) Intersecting
- (C) Perpendicular
- (D) None of these
27. In the given figure, PQ ⊥ RQ, PQ = 5 cm and QR = 5 cm. Then ∆PQR is
- (A) a right triangle but not isosceles
- (B) an isosceles right triangle
- (C) isosceles but not a right triangle
- (D) neither isosceles nor right triangle
26. In the following figure, what is AE + EC?
- (A) BD
- (B) CD
- (C) AB
- (D) AC
25. In the following figure, what is AC – EC?
- (A) BC
- (B) BD
- (C) AE
- (D) AC
24. In the following figure, what is BD – BE?
- (A) BD
- (B) ED
- (C) AE
- (D) EC
23. In the following figure, what is BD – DE?
- (A) BE
- (B) CD
- (C) AB
- (D) EC
22. An angle is said to be trisected if it is divided into three equal parts. If in the following figure, ∠BAC = ∠CAD = ∠DAE, how many trisectors are there for ∠BAE?
- (A) 1
- (B) 2
- (C) 3
- (D) 4
21. Find out the incorrect statement, if any, in the following:
An angle is formed when we have
(i) two rays with a common end-point
(ii) two line segments with a common end-point
(iii) a ray and a line segment with a common end-point
- (A) (i)
- (B) (ii)
- (C) (iii)
- (D) (i) and (ii)
20. Which of the following relation is true?
- (A) ∠ABC = ∠CBD + ∠ABD
- (B) ∠ABC ⎼ ∠CBD = ∠ABD
- (C) ∠ABC = ∠CBD ⎼ ∠ABD
- (D) ∠ABC + ∠CBD = ∠ABD
19. What is the name of the angle ∠1 + ∠2 in the following figure?
- (A) ∠EBD
- (B) ∠DBC
- (C) ∠EBC
- (D) ∠ABC
18. What is the name of the angle ∠1 + ∠2 + ∠3 in the following figure?
- (A) ∠EBD
- (B) ∠DBC
- (C) ∠EBC
- (D) ∠ABC
17. What is the name of the angle ∠CBA ⎼ ∠1 in the following figure?
- (A) ∠ABE
- (B) ∠EBD
- (C) ∠EBC
- (D) ∠ABD
16. In the following figure, how many angles less than 180° are there?
- (A) 21
- (B) 20
- (C) 13
- (D) 15