Quantitative Aptitude

Question: If \(\cot\phi + \tan\phi = 4\) and \(\phi\) is an acute angle, find the value of \(\cot^3\phi + \tan^3\phi\).

Question: X started a business with Rs. 24,000. Y joined after \(m\) months with Rs. 32,000. At the end of

Question: If \(\text{cosec}^2\alpha = 9\), then find the value of \(\cos^2\alpha + \sec(90^\circ – \alpha)\) where \(0^\circ < \alpha <

Question: A certain sum, when invested for 3 years at 10% per annum compound interest, compounded annually, amounts to Rs.

Question: If \((x + y)^2 = 144\) and \(xy = 15\), then find \(x^2 + y^2\). यदि \((x + y)^2