Number Operations and Properties

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.

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

To get 3 trailing zeros, we need three factors of 5×10 = at least three 5s and three 2s in the prime factorization. Counting from 20: 20 contributes one 5, 25 contributes two 5s. By the 6th number (20×21×22×23×24×25), we have three 5s (one from 20, two from 25) and many 2s, giving exactly 3 trailing zeros. Option A (11) would give 4+ trailing zeros.

Dividing by 1/2 is the same as multiplying by 2. So, 30 / 0.5 = 60. Adding 10 to 60 results in 70. Distractors like 25 result from incorrectly multiplying by 1/2 or subtracting.

The puzzle follows a pattern where the result equals twice the smaller number for most pairs (2×min(a,b)), which gives 2, 4, 6, and 4 for the four equations respectively. The first equation (1+5=1) is an exception to this pattern, suggesting either a more complex rule or possible corruption in the question data. Based on the pattern evident in the latter three examples, 4+2 equals 4.

This is a word puzzle. You can only subtract 6 from 30 once, because after that you are subtracting from 24, not from 30. The question specifies subtracting from the original number 30, so the operation can only occur one time.

This is a riddle. You can only subtract 6 from 30 'one' time, because after you subtract it, you are subtracting from 24, not 30. Mathematically, 30/6 is 5, but the riddle logic dictates the answer is 1.

The sequence follows the pattern n^n: 1^1=1, 2^2=4, 3^3=27. The next term is 4^4. This is a repeat of a previous logic puzzle where the exponent matches the base number.

The sequence follows the pattern n^n: 1^1=1, 2^2=4, 3^3=27. Therefore, the next number is 4^4 (256). The other options represent different powers of 4 that do not fit the established mathematical progression.

The product of 72 and 3 is 216. This can be calculated as 72 x 3 = 216, or broken down as (70 x 3) + (2 x 3) = 210 + 6 = 216. The other options are incorrect arithmetic results.

To find how many times you can subtract 7 from 54, divide 54 by 7. This gives 7 with a remainder of 5, meaning you can perform the subtraction 7 times completely before the result becomes negative.

To find how many 5s are needed, subtract 22 from 47 to get 25, then divide by 5. 25 ÷ 5 = 5, so you need to add 5 five times to reach 47.

Let the number be x. Condition: x + 1/x = 2x. Solving: 1/x = x, so x^2 = 1, giving x = 1 (natural number). Check: 1 + 1/1 = 2, which equals 2 × 1 = 2. ✓ Option B is correct.

Witch Doctor's Voodoo Restoration is a channeling healing ability that affects nearby allies. The duration scales with level, allowing longer sustained healing in teamfights. At higher levels, Witch Doctor can maintain the heal for extended periods while channeling.