Quantitative Aptitude
The circuasceatre of an equilateral triangle is at a distance of 3.2 cm from the base of the triangle. What is the length (in cm) of each of its altitudes?
A circle is inscribed in ∆ABC, touching AB, BC and AC at the points P, Q and R, respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ∆ABC = 32 cm, then \(\dfrac{BC}{2}\) (in cm) = ?
\(\dfrac{20}{3}\)
\(\dfrac{13}{3}\)
\(\dfrac{11}{3}\)
\(\dfrac{10}{3}\)
An article is sold at a profit of \(13\dfrac{1}{4}\)%. Had it been sold for ₹76.70 more, the profit would have been \(16\dfrac{1}{5}\)%. 50% of the cost price of the article (in ₹) is:
If a2 + b² + 49c² + 18 = 2(b + 28c - a), then the value of (2a - b + 7c) is:
If x² - 5x - 1 = 0, then what is the value of
\[
\frac{x^6 - x^4 + x^2 - 1}{x^3}
\]