SNAP 2025 Test 2 Question Paper with Solutions – Page 4

If the real numbers a, b, and c satisfy a + b + c = 10, a^2 + b^2 + c^2 = 38, and a^3 + b^3 + c^3 = 160, what is the exact value of the expression (ab + bc + ca) - abc?

Pipe A fills a tank in 12 hours and pipe B fills it in 18 hours. Both are opened together. After 4 hours, pipe A is closed. How much total time is taken to fill the tank?

An 80 litre mixture has milk and water in the ratio 5:3. Some mixture is removed and replaced with the same quantity of water. The final milk-water ratio becomes 1:1. How much mixture was removed?

Two runners, X and Y, start from the same point on a 400m circular track and run in opposite directions. X's speed in the 1st minute is 10 m/min, and he increases it by 10 m/min every subsequent minute. Y runs at a constant speed of 30 m/min. How many times will they meet in the first 10 minutes?

In how many ways can 5 men and 3 women be seated in a row such that no two women sit together, and the tallest man is always seated at the extreme right end?