22cm
17cm
16cm
15cm
Correct answer is B
In the diagram
|AM| = |MB| - \(\frac{|AB|}{2}\)
= \(\frac{16\sqrt{3}}{2}\)cm
= 8\(\sqrt{3}\)cm
in \(\Delta\) AMO, r2 = |AM|Z + |MO|2
r2 = (8\(\sqrt{3}\))2
+ 102
= 64 x 3 + 100
= 192 + 100
= 292
r = \(\sqrt{292}\)
17.088cm
17cm
\(\frac{9}{13}\)
\(\frac{11}{26}\)
\(\frac{4}{13}\)
\(\frac{1}{26}\)
Correct answer is C
Two word mathematics is first rewritten as mathematics, since every letter of mathematics appears once in the english alphabet.
Hence the probability that letter selected is from the word mathematics is prob. (matheics) = \(\frac{8}{26}\)
= \(\frac{4}{13}\)
72o
100o
120o
144o
Correct answer is D
The diagram given simple illustrates that a pentagon contains three \(\Delta\)s.
Two angles which are in the ratio 2:3 will have actual values 2xo, 3xo respectively. Thus 2xo + 3xo + 3 x 60 = 3x sum of angles of \(\Delta\)a
i.e. 5xo + 180o = 3 x 180o
5xo + 180o = 540o
5xo = 540o - 180o
5xo = 360o
xo = \(\frac{360^o}{5}\)
= 72o
Hence, the smaller of the two angles is
2 x 72o = 144o
4.7m2
4.9m2
5.7m2
5.9m2
Correct answer is A
Area of floor = 3.5m x 2.2m = 7.7m2
Area of carpet = (3.5 - 0.5 - 0.5)m x (2.2 - 0.5 - 0.5)m
2.5m x 1.2m = 3m2
hence, area of margine
= area of floor - area of carpet
= (7.7 - 3)m2
= 4.7m2
Calculate the mean deviation of 5, 3, 0, 7, 2, 1
0.0
2.0
2.5
3.0
Correct answer is B
mean = \(\bar{x}\) = \(\frac{\sum x}{n}\)
= \(\frac{5 + 3 + 0 + 7 + 2 + 1}{6}\)
\(\frac{18}{6}\) = 3
\(\begin{array}{c|c}
x & x - \bar{x} & |x - \bar{x}|\\ \hline 5 & -2 & 2 \\ \hline 3 & 0 & 0 \\ \hline 0 & -3 & 3 \\ \hline 7 & 4 & 4 \\ \hline 2 & -1 & 1 \\ \hline 1 & -2 & 2 \\ \hline & & & \sum|x - \bar{x}| \\ \hline & & & 12
\end{array}\)
hence, MD = \(\frac{\sum|x - \bar{x}}{n}|\)
\(\frac{12}{6}\)
= 2