One of the following statements is wrong. Which is it?
If a triangle is equiangular then it is also equilateral
If a triangle is equilateral then it is also then it is also equiangular
If two triangles are similar then they are also congurent
The sum of the interior angles of any triangle is 180 degrees
Correct answer is C
Two similar triangles are not also congruent
Simplify 2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\)
\(\frac{1}{6}\)
\(\frac{13}{20}\)
\(\frac{11}{30}\)
\(\frac{9}{4}\)
\(\frac{5}{3}\)
Correct answer is A
2\(\frac{5}{12}\) - 1\(\frac{7}{8}\) x \(\frac{6}{5}\) = \(\frac{29}{12}\) - \(\frac{15}{8}\) x \(\frac{6}{5}\)
= \(\frac{29}{12}\) - \(\frac{9}{4}\)
= \(\frac{29 - 27}{12}\)
= \(\frac{2}{12}\)
= \(\frac{1}{6}\)
1m
1.1m
1.2m
0.9m
1.3m
Correct answer is E
If tan\(\theta\) = 2, 4
\(\theta\) = tan-1(2.4)
= 67o 25
By sin formula \(\frac{x}{sin 90^o}\) = \(\frac{50}{sin 22^o 37}\)
= \(\frac{50}{sin(9o - \theta)}\)
sin90o = 1
x = 50 cosec 22o 37
= 50 x 2.604x
= 130cm
but 100cm = 1m
130cm = 1.3m
Simplify \(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x - y}\)
\(\frac{x^2 + y^2} {(x - y)^2}\)
\(\frac{2y^3} {y^2 - x^2}\)
\(\frac{3x^2 + y^2} {(2x - y)^2}\)
\(\frac{x^2 + y^2} {(x^2 - y)}\)
Correct answer is B
\(\frac{x^2 + y^2 + xy}{x + y}\) - \(\frac{x^2 + y^2}{x -y}\)
= \(\frac{-y^3 - y^3}{x^2 - y^2}\)
= \(\frac{2y^3}{x^2 - y^2}\)
= \(\frac{2y^3}{y^2 - x^2}\)
\(\frac{44}{3}\)\(\pi\)cm3
12\(\pi\)cm3
\(\frac{38}{3}\)\(\pi\)cm3
\(\frac{40}{3}\)\(\pi\)cm3
\(\frac{32}{33}\)\(\pi\)cm3
Correct answer is A
Volume of steel ball = \(\frac{4\pi r^2}{3}\)
= \(\frac{4}{3}\) \(\pi\) x 1
= \(\frac{4 \pi}{3}\)cm3
Vol. of cylinder = \(\pi\)r2h
= \(\pi\) x 22 x 3
Vol. of water = 16\(\pi\) - \(\frac{4 \pi}{3}\)
= \(\frac{48 - 4 \pi}{3}\)
= \(\frac{44 \pi}{3}\)cm3