For the following questions answer them individually
Simplify.
$$\frac{\cos^4 \theta - \sin^4 \theta}{\sin^2 \theta}$$
The marked price of a chair was ₹1,000 but it was sold for ₹1,200. What is the percentage increase on the product?
If a = 9.6, b = 4.44 and c = 5.16, then the value of $$a^3 - b^3 - c^3 - 3abc$$ is:
A gives B a head-start of 10 seconds in a 1500 m race and both finish the race at the same time. What is the time taken by A (in minutes) to finish the race if speed of B is 6 m/s?
Arrange the given ratios in descending order
15 : 7, 5 : 11 and 21 : 77.
In an assembly election, a candidate got 60% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 1,50,000, then find the number of valid votes polled in favour of that candidate.
A six-digit number 763254 is divisible by 18. If we subtract five times of 41 from the number, then the new number which is formed will be divisible by:
The following pie chart shows the distribution of income from different taxes. Study the chart and answer the question.
If the income from the market tax in a year is ₹260 crore, then the total income from other sources is: (in ₹ crore)
The value of $$6\frac{8}{15} \div \frac{7}{9} of \left(1\frac{1}{10} + 5\frac{1}{5}\right) + \frac{2}{5} \div 7\frac{1}{5}$$ is:
In the given figure, $$DE \parallel BC$$. If AD = 5 cm, DB = 10 cm, and AE = 8 cm, then AC is: