Total amount of money paid for projects rated A (in lakhs of Rupees) is:

From the passage: A quick survey at the end of a purchase at buyagain.com asks the follo...

What is the number of happy male shoppers?

On the bank of the pristine Tunga river, a deer and a tiger are joyfully playing with each other. The deer notices that it is 40 steps away from the tiger and starts running towards it. At the same time, the tiger starts running away from the deer. Both run on the same straight l…

Rahul has just made a 3 × 3 magic square, in which, the sum of the cells along any row, column or diagonal, is the same number N. The entries in the cells are given as expressions in x, y and z. Find N. Row 1: 3x + y | 2x | 2x + y + z; Row 2: 2x² | 4y | y² + z; Row 3: y + z | 3x…

The six faces of a wooden cube of side 6 cm are labelled A, B, C, D, E and F respectively. Three of these faces A, B, and C are each adjacent to the other two, and are painted red. The other three faces are not painted. Then, the wooden cube is neatly cut into 216 little cubes of…

Swati can row a boat on still water at a speed of 5 km/hr. However, on a given river, it takes her 1 hour more to row the boat 12 km upstream than downstream. One day, Swati rows the boat on this river from X to Y, which is N km upstream from X. Then she rows back to X immediatel…

ABC is a triangle with integer-valued sides AB = 1, BC > 1, and CA > 1. If D is the mid-point of AB, then, which of the following options is the closest to the maximum possible value of the angle ACD (in degrees)?

Let f(x) = (x² + 1)/(x² − 1) if x ≠ 1, −1, and 1 if x = 1, −1. Let g(x) = (x + 1)/(x − 1) if x ≠ 1, and 3 if x = 1. What is the minimum possible value of f(x)/g(x)?

Find z, if it is known that: a: −y² + x² = 20; b: y³ − 2x² − 4z ≥ −12; and c: x, y and z are all positive integers.