Three of the following numbers are alike in a certain way and one is different. Pick the odd one out.

(Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Question

Three of the following numbers are alike in a certain way and one is different. Pick the odd one out.

(Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Accepted Answer

Let's analyze each pair:

1. 11 – 363
2. 13 – 507
3. 15 – 450
4. 9 – 243

We need to find a pattern relating the first number to the second number in each pair.

Check if the second number is a power or multiple related to the first number:

- For 11 and 363:
  11^3 = 11 * 11 * 11 = 1331 (not 363)
  11^2 = 121 (not 363)
  11 * 33 = 363 (33 is not related to 11 directly)

- For 13 and 507:
  13^3 = 2197 (not 507)
  13^2 = 169 (not 507)
  13 * 39 = 507 (39 is not related to 13 directly)

- For 15 and 450:
  15^3 = 3375 (not 450)
  15^2 = 225 (not 450)
  15 * 30 = 450

- For 9 and 243:
  9^3 = 729 (not 243)
  9^2 = 81 (not 243)
  9^5 = 9 * 9 * 9 * 9 * 9 = 59049 (too large)
  3^5 = 243 (243 is 3^5)

Try to see if the second number is related to the cube of the first number divided by something:

- 11^3 = 1331; 1331 / 3.67 ≈ 363
- 13^3 = 2197; 2197 / 4.33 ≈ 507
- 15^3 = 3375; 3375 / 7.5 = 450
- 9^3 = 729; 729 / 3 = 243

No consistent divisor.

Try to check if the second number is the first number multiplied by a certain number:

- 11 * 33 = 363
- 13 * 39 = 507
- 15 * 30 = 450
- 9 * 27 = 243

Look at the multipliers: 33, 39, 30, 27

Check if these multipliers relate to the first number:

- 33 is 3 * 11
- 39 is 3 * 13
- 30 is 2 * 15
- 27 is 3 * 9

So for 11, 13, and 9, the multiplier is 3 times the first number.
For 15, the multiplier is 2 times the first number.

Therefore, 15 – 450 is the odd one out because the multiplier is different.

But the question asks to pick the odd one out from the given pairs. The pairs are:
1. 11 – 363
2. 13 – 507
3. 15 – 450
4. 9 – 243

From above, 15 – 450 is the odd one out.

Rechecking the options, the odd one out is option 3: 15 – 450.

Final answer: 15 – 450 is the odd one out.

Answer

Answer

Answer