31 - 40 of 63 Questions
# | Question | Ans |
---|---|---|
31. |
A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours? A. \(\frac{5}{25}\) B. \(\frac{7}{20}\) C. \(\frac{3}{5}\) D. \(\frac{2}{3}\) E. \(\frac{5}{6}\) |
C |
32. |
In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR| A. 4√3cm B. 4cm C. 2√3cm D. \(\frac{4}{3}cm\) E. 1cm |
B |
33. |
In the diagram, PQ||SR. Find the value of Z A. 30o B. 40o C. 45o D. 90o E. 120o |
D |
34. |
In \(sin(X+30)^o=cos40^o\),find X A. 10o B. 20o C. 50o D. 60o E. 90o Detailed Solution\(sin(X+30)^o=cos40^o\\X+30+40=90^o\)complementary angles \(X=20^o\) |
|
35. |
Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\) A. 141.3o B. 128.7o C. 51.3o D. 48.7o E. 38.7o |
C |
36. |
A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall? A. \(\frac{5\sqrt{2}}{3}m\) B. \(2\frac{1}{2}m\) C. \(\frac{5\sqrt{3}}{2}m\) D. \(\frac{10\sqrt{3}}{3}m\) E. \(10\sqrt{3}m\) |
B |
37. |
A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord A. 16cm B. 27.86cm C. 32cm D. 48cm E. 55.72cm |
D |
38. |
Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35o,find ∠PQS A. 35o B. 45o C. 55o D. 70o E. 90o |
C |
39. |
In the diagram, O is the center of the circle and the reflex angle ROS is 264o. Find ∠RTS A. 48o B. 53o C. 66o D. 132o E. 192o |
A |
40. |
If the exterior angles of quadrilateral are yo, (y + 5)o, (y + 10)o and (y + 25)o, find y A. 10o B. 20o C. 40o D. 60o E. 80o |
E |
31. |
A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours? A. \(\frac{5}{25}\) B. \(\frac{7}{20}\) C. \(\frac{3}{5}\) D. \(\frac{2}{3}\) E. \(\frac{5}{6}\) |
C |
32. |
In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR| A. 4√3cm B. 4cm C. 2√3cm D. \(\frac{4}{3}cm\) E. 1cm |
B |
33. |
In the diagram, PQ||SR. Find the value of Z A. 30o B. 40o C. 45o D. 90o E. 120o |
D |
34. |
In \(sin(X+30)^o=cos40^o\),find X A. 10o B. 20o C. 50o D. 60o E. 90o Detailed Solution\(sin(X+30)^o=cos40^o\\X+30+40=90^o\)complementary angles \(X=20^o\) |
|
35. |
Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\) A. 141.3o B. 128.7o C. 51.3o D. 48.7o E. 38.7o |
C |
36. |
A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall? A. \(\frac{5\sqrt{2}}{3}m\) B. \(2\frac{1}{2}m\) C. \(\frac{5\sqrt{3}}{2}m\) D. \(\frac{10\sqrt{3}}{3}m\) E. \(10\sqrt{3}m\) |
B |
37. |
A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord A. 16cm B. 27.86cm C. 32cm D. 48cm E. 55.72cm |
D |
38. |
Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35o,find ∠PQS A. 35o B. 45o C. 55o D. 70o E. 90o |
C |
39. |
In the diagram, O is the center of the circle and the reflex angle ROS is 264o. Find ∠RTS A. 48o B. 53o C. 66o D. 132o E. 192o |
A |
40. |
If the exterior angles of quadrilateral are yo, (y + 5)o, (y + 10)o and (y + 25)o, find y A. 10o B. 20o C. 40o D. 60o E. 80o |
E |