If \(x^3 + y^3 = 468\) and \(x + y = 12\), then value of \(x^4 + y^4\) will be

Cost price of article A is ₹ 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, then what is the cost price of article B?

P's income is ₹ 140 more than Q's income and R's income is ₹ 80 more than S's. If the ratio of P's and R's incomes is 2:3 and the ratio of Q's and S's incomes is 1:2, then the incomes of P, Q, R and S are, respectively:

The value of \(999\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + 999\frac{4}{7} + 999\frac{5}{7} + 999\frac{6}{7}\) is equal to :

The difference between compound and simple interests on a certain sum of money at the interest rate of 10% per annum for \(1\frac{1}{2}\) years is ₹ 183, when the interest is compounded semi-annually, then the sum of money is

If \(\frac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} = 3\), then value of \(\sin^4\theta - \cos^4\theta\) is

The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. They all change simultaneously at 08:20:00 hours, when will they again change simultaneously?

The ratios of copper to zinc in alloys A and B are 3:4 and 5:9, respectively. If A and B are taken in ratio 2:3 and melted to form new alloy C, then the ratio of copper to zinc in C is:

\(2^{122} + 4^{62} + 8^{42} + 4^{64} + 2^{130}\) is divisible by which one of the following integers?