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 |
| \(\sum\) | 50 | 333 |
\(Mean = \frac{\sum fx}{\sum f}\)
= \(\frac{333}{50} = 6.66 \approxeq 6.7\)
The median is the average of the 25th and 26th position = 6.
76.8o and 25.2o
10.8o and 224.6o
112.4o and 72.0o
39.6o and 212.4o
Correct answer is D
Education = 11% = \(\frac{11}{100} \times 360° = 39.6°\)
Food = 59% = \(\frac{59}{100} \times 360° = 212.4°\)
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 = \(\frac{1}{sin x}\) = \(\frac{1}{y}\)
\(\frac{b}{y}\) = \(\frac{\sqrt{b}}{\sqrt{b - a}}\)
= \(\sqrt{\frac{b}{b - a}}\)