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Totally ripping off Matt MaloneMatt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the right a "1"?
  4. If you translate the number into trinary, is the forth digit from the right a "1"?
  5. If you translate the number into trinary, is the fifth digit from the right a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the right a "1"?
  4. If you translate the number into trinary, is the forth digit from the right a "1"?
  5. If you translate the number into trinary, is the fifth digit from the right a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the right a "1"?
  4. If you translate the number into trinary, is the forth digit from the right a "1"?
  5. If you translate the number into trinary, is the fifth digit from the right a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

2 left from right
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Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the leftright a "1"?
  4. If you translate the number into trinary, is the forth digit from the leftright a "1"?
  5. If you translate the number into trinary, is the fifth digit from the leftright a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the left a "1"?
  4. If you translate the number into trinary, is the forth digit from the left a "1"?
  5. If you translate the number into trinary, is the fifth digit from the left a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the right a "1"?
  4. If you translate the number into trinary, is the forth digit from the right a "1"?
  5. If you translate the number into trinary, is the fifth digit from the right a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.

1
source | link

Totally ripping off Matt Malone's answer:

If you can ask any question about the number where "correct," "too high," or "too low" are valid answers, go with:

  1. If you translate the number into trinary, is the last digit a "1"?
  2. If you translate the number into trinary, is the second-to-last digit a "1"?
  3. If you translate the number into trinary, is the third digit from the left a "1"?
  4. If you translate the number into trinary, is the forth digit from the left a "1"?
  5. If you translate the number into trinary, is the fifth digit from the left a "1"?
  6. Is the number X?

For example, 100 in trinary would be 10201. The first five answers would be: "correct, too high, too low, too high, correct" which would tell me that the number is 100. That would be my final guess.

This works for any integer from 0 up to 242.