The compound interest on a certain sum of money at 21% p.a. for 2 years is ₹11,138.40 (interest compounded yearly). The total amount received (in ₹) after 2 years is:
A 20 m long ladder rests against a wall so that the angle between the ladder and the wall is 30°. How far (in m) is the base of the ladder from the wall?
A and B had a joint business in which A invested ₹60,000 in the business for one year. After 3 months B invested Rs.80,000. At the beginning of the second year, A invested Rs.30,000 more and B withdrew Rs.5000. At the end of two years, profit earned by A is Rs.35,880. what is the profit (in ₹) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?
Study the given bar graph and answer the question that follows.
The bar graph shows the exports of cars of type A and B (in ₹ millions) from 2014 to 2018
The total exports of cars of type B from 2015 to 2018 is what percentage more than the total exports of cars of type A from 2015 to 2018 (correct to one decimal place)?
If cos B = \( \frac{5}{7} \), what is the value of cosec B + cot B? Given that 0 < B < \( \frac{π}{2} \)
\(\dfrac{5}{\sqrt{6}}\)
\(\dfrac{\sqrt{6}}{12}\)
\(\dfrac{7}{\sqrt{6}}\)
\(\sqrt{6}\)
The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020.
What is the ratio of the number of students studying science in the year 2019 to that in the year 2020?
If cos 53° = \( \frac{x}{y} \) , then sec 53° + cot 37° is equal to:
\(\tfrac{x + \sqrt{y^2 - x^2}}{y}\)
\(\tfrac{x + \sqrt{y^2 - x^2}}{x}\)
\(\tfrac{y + \sqrt{y^2 - x^2}}{x}\)
\(\tfrac{y + \sqrt{y^2 - x^2}}{y}\)