\(\sin\left(\frac{13\pi}{6}\right) = ?\)

Due to increase of 20% in the price of eggs, 2 eggs less are available for Rs. 24. The present rate of eggs per dozen is

Fruits were purchased for Rs. 350. 9 boys ate \(\frac{3}{5}\) of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?

One Trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling prices are same, then the difference of their actual profit is Rs 85 and both claim to have made 20% profit. What is the selling price for each?

If minimum value of \(f(x) = x^2 + 2bx + 2c^2\) is greater than the maximum value of \(g(x) = -x^2 - 2cx + b^2\), then for real value of x.

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.

The set of all real numbers x for which \(x^2 - |x + 2| + x > 0\), is:

If x% of y is equal to z then what percentage of z is x?

What should come at the place of question mark? 46080, 3840, 384, 48, 8, 2, ?