Tag: math & puzzles

Questions Related to math & puzzles

  1. 14

  2. 15

  3. 16

  4. 45


Correct Option: A
Explanation:

To determine the number of teams that participated in the football matches, we can use the formula for the number of matches played in a round-robin tournament.

The formula to calculate the number of matches in a round-robin tournament with "n" teams is:

matches = (n * (n - 1)) / 2

Given that 91 matches were played, we can set up the equation:

91 = (n * (n - 1)) / 2

To solve the equation, we can multiply both sides by 2 to eliminate the fraction:

182 = n * (n - 1)

Now, we can try different values for "n" to see which one satisfies the equation:

For n = 14: 182 = 14 * (14 - 1) 182 = 14 * 13 182 = 182

Since n = 14 satisfies the equation, the correct answer is:

A. 14

Herbert takes the underground train to work and uses an escalator at the railway station. If Herbert runs up 6 steps of the escalator, then it takes him 37.5 seconds to reach the top of the escalator. If he runs up 14 steps of the escalator, then it takes him only 25.5 seconds to reach the top. How many seconds would it take Herbert to reach the top if he did not run up any steps of the escalator at all?

  1. 44.5

  2. 45

  3. 46.5

  4. 48


Correct Option: C