Math and Brain Teasers

If x^4 = 16, then x = 2 (since 222*2 = 16). Substituting x = 2 into the second expression, 4^x becomes 4^2, which equals 16.

Solving the inequalities: 2x > 24 implies x > 12. 3x < 48 implies x < 16. Therefore, x must be between 12 and 16. Among the choices, 14 is the only value that fits this range.

Absolute value |x| is always non-negative. |-5| = 5 and |3| = 3. The expression becomes 5 + 3 - 5. The 5s cancel out, leaving 3 as the final result.

With 10 teams, the number of unique pairings is (10 * 9) / 2 = 45. Since each pair plays 5 times, the total games are 45 * 5 = 225. The formula for games in a round-robin is [n(n-1)/2] * iterations.

Column A (3/4 + 3/4) equals 1.5 or 3/2, while Column B ((3/4)²) equals 9/16 or approximately 0.5625. Since 1.5 is clearly greater than 0.5625, Column A has the greater quantity. This is a basic arithmetic comparison requiring understanding of fraction addition and squaring.

The 4th of July is a calendar date. Every country that uses the Gregorian calendar has a 4th of July. The question does not ask if they celebrate Independence Day, merely if the date exists.

Each person has only one birthday - the date they were born. The confusion comes from counting birthday celebrations (which happen annually) versus the actual birthday date.

This is a trick question. While February is the only month with exactly 28 days (except in leap years), every single month in the Gregorian calendar (all 12) contains at least 28 days.

For a man to have a 'widow', he must be dead. A dead man cannot marry anyone, regardless of the legality of marrying a sister-in-law. Therefore, the answer is 'No'.

Dividing by 1/2 means multiplying by 2. So 30 ÷ 1/2 = 30 × 2 = 60. Then 60 + 10 = 70.

If you take away 2 apples, you possess 2 apples. The trick is distinguishing between how many remain (1) versus how many you have (2).

The pills are taken at intervals. Pill 1 starts the clock (0 min), Pill 2 is taken at 30 min, and Pill 3 is taken at 60 min. The total duration of the 'treatment' is 60 minutes.