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

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?

Arrange the following in descending order based on their perimeters: A. A square with an area of 36 sq. cm. B. An equilateral triangle with a side of 9 cm. C. A rectangle with 10 cm as length and 4 sq. cm as area. D. A circle with radius of 4 cm. Choose the correct answer from th…

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

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from two ships are 30° and 45°, respectively. If the lighthouse is 100 m high, the distance between two ships is approximately:

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:

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?

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 :