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

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.

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

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?

A room has floor size of 15 \(\times\) 6 sq.cm. What is the height of the room, if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls?

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

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

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

Given \(A = 2^{65}\) and \(B = (2^{64} + 2^{63} + 2^{62} + ... + 2^0)\), which of the following is true?