Which among the following cannot be determined uniquely?

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…

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)?

From the passage: A company awards incentives to its employees for successful project…

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

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.

An encryption system operates as follows: Step 1. Fix a number k (k ≤ 26). Step 2. For each word, swap the first k letters from the front with the last k letters from the end in reverse order. If a word contains less than 2k letters, write the entire word in reverse order. Step 3…

From the passage: The following plot describes the height (in cm), weight (in kg), age (...

The average age of the female patients who weigh 50 kg or above is approximately [Figure: see page 18 of source PDF]

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…