SSC IMD Scientific Assistant – Full Length Mock 03

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

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

Question: ‘L’, ‘M’, ‘N’ and ‘O’ have different amounts. ‘M’ has 3 times the amount ‘L’ has. ‘O’ has 50%

Question: Two cyclists, ‘M’ and ‘N’ started cycling along a circular path in the same direction at the same time

Question: Simplify the expression: \(\dfrac{(\sqrt{7}+\sqrt{3})^2 – (\sqrt{7}-\sqrt{3})^2}{\sqrt{7} \times \sqrt{3}}\) व्यंजक को सरल कीजिए: \(\dfrac{(\sqrt{7}+\sqrt{3})^2 – (\sqrt{7}-\sqrt{3})^2}{\sqrt{7} \times \sqrt{3}}\) Options: 2

Question: In a \(\Delta PQR\), side QR is extended to point ‘E’, such that \(\angle PRE = 127^\circ\). If \(\angle

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

Question: 4 litres are drawn from a vessel full of juice and are then filled with water. This operation is

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