LINES AND ANGLES (CDS)

Total Questions: 16

11. In the given figure above, p and q are parallel lines. What are the values of the angles x, y and z ? [2016 (I) Morning Shift]

Correct Answer: (d) x = 60°, z = 120°, y = 20°
Solution:In the given figure, lines p and q are parallel.

12. There are five lines in a plane, no two of which are parallel. The maximum number of points in which they can intersect is [2016 (I) Morning Shift]

Correct Answer: (c) 10
Solution:We know that, intersection point is formed by the intersection of two lines.
∴ Number of intersection points = Number of ways of selecting 2 lines out of the given 5 non-parallel lines.
Required number of points = ⁵C₂ = 10

13. A clock is started at noon. By 10 min past 5, through what angle, the hour hand moves? [2015 (II) Evening Shift]

Correct Answer: (d) 155°
Solution:Since, hour hand moves 30° in hour and 1/2 in 1 min and time given is noon to 5:10.

14. Let OA, OB, OC and OD be rays in the anti-clockwise direction. [2015 (I) Morning Shift]

Such that
∠AOB = ∠COD = 100°,
∠BOC = 82° and ∠AOD = 78°

Consider the following statements
I. AOC and BOD are lines.
II. ∠BOC and ∠AOD are supplementary.

Which of the statement(s) given above is/are correct?

Correct Answer: (d) Neither I nor II
Solution:

15. The complement angle of 80° is [2015 (I) Morning Shift]

Correct Answer: (c) π/18 radian
Solution:


16. At what point of time after 3 O'clock, hour hand and the minute hand of a clock occur at right anles for the first time? [2014 (I) Morning Shift]

Correct Answer: (d) 3 h 32⁸⁄₁₁ min
Solution:Clock will make right angle at