6.7, 6
7.6, 5
5.7, 87
34, 6
Correct answer is A
| No of defective(x) | No of boxes (f) | fx |
| 4 | 2 | 8 |
| 5 | 7 | 35 |
| 6 | 17 | 102 |
| 7 | 10 | 70 |
| 8 | 8 | 64 |
| 9 | 6 | 54 |
| ∑ | 50 | 333 |
Mean=∑fx∑f
= 33350=6.66≊
The median is the average of the 25th and 26th position = 6.
Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm
56\pi cm2
72\pi cm2
96\pi cm2
192\pi cm2
Correct answer is B
The total surface area of a cylinder = 2\pi r (r + h)
= 2 \pi (4) (4 + 5)
= 8 \pi (9) = 72 \pi cm^{2}
0.30o
045o
060o
090o
Correct answer is C
tan \theta = \frac{60\sqrt{3}}{60} = \sqrt{3}
\theta = tan \frac{1}{3} = 60o
Bearing of y from x = 060o
If cos x = \sqrt{\frac{a}{b}} find cosec x
\frac{b}{\sqrt{b - a}}
\sqrt{\frac{b}{a}}
\sqrt{\frac{b}{b - a}}
\sqrt{\frac{b - a}{a}}
Correct answer is C
cosx = \sqrt{\frac{a}{b}}
y2 + \sqrt{(a)^2} = \sqrt{(b)^2} by pythagoras
y2 = b - a
∴ y = b - a
cosec x = \frac{1}{sin x} = \frac{1}{y}
\frac{b}{y} = \frac{\sqrt{b}}{\sqrt{b - a}}
= \sqrt{\frac{b}{b - a}}