In the last sentence of the passage, “This is the battle for our future,” the writer is:
The first sentence in the passage mentions that India was in the news again as a world leader. What is the writer's intention in pointing this out?
The number of factors of 1800 that are multiple of 6 is …………. .
The number of real solutions of the equation \((x^2 - 15x + 55)^{x^2 - 5x + 6} = 1\) is __________.
In a group of 150 students, 52 like tea, 48 like juice, and 62 like coffee. If each student in the group likes at least one among tea, juice, and coffee, then the maximum number of students that like more than one drink is _______________.
Let \( ABC \) be a triangle right-angled at \( B \) with \( AB = BC = 18 \). The area of the largest rectangle that can be inscribed in this triangle and has \( B \) as one of the vertices is _____________.