What is the compound ratio of 45 : 75, 3 : 5, 51 : 68 and 256 : 81?
\( \frac{64}{75} \)
\( \frac{128}{75} \)
\( \frac{75}{32} \)
\( \frac{32}{45} \)
If a : b :: 3 : 4 then the value of the expression \(\frac{5a-3b}{7a+2b}\) is:
\( \frac{3}{29} \)
\( \frac{29}{3} \)
\( \frac{7}{29} \)
\( \frac{7}{3} \)
A square is inscribed in a circle which is inscribed in an equilateral triangle. If one side of the triangle is x, then the area of square is:
(\( \frac{1}{9} \))x²
(\( \frac{1}{2} \))x²
(\( \frac{1}{3} \))x²
(\( \frac{1}{6} \))x²
In the following diagram, A contains all the people who like chocolate, B contains all the people who like ice-cream and C contains all the people who like candy. What does the shaded area represent?
People who like chocolate, candy and ice-cream.
People who only like candy and ice-cream.
People who only like chocolate and ice-cream.
People who only like chocolate and candy.