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Find the three-digit number using the three clues below.

The number 682 shares one digit with the number, and it is correctly placed.
The number 614 shares one digit with the number, but it is wrongly placed.
The number 296 shares two digits with the number, but they are wrongly placed.

Sagot :

Answer: 942

Step-by-step explanation: this was a tuff one!

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Here, we are required to find the three-digit number using the three clues as given.

The three-digit number is 942.

  • Inference drawn from statements 1, 2 and 3 as follows;

  • Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.

  • Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placed

  • Inference drawn from statements 1, 2 and 3 as follows;The number 682 shares one digit with the number, and it is correctly placed.The number 614 shares one digit with the number, but it is wrongly placed. The number 296 shares two digits with the number, but they are wrongly placed

  1. This means the last digit is 2 as it is present as wrongly placed in statement 3 and it is correctly placed in statement 1.
  2. Statement 2 shows that 4 is among the 3 digit number, although it is wrongly placed in the number 614, it can only be the first of the second number.
  3. Statement 3 suggests that 9 is the other number present as it is evident from Statement 1 and 2, that 6 is not one of the three-digit number.
  4. And since, 9 is wrongly placed in 296, it can only take the first position, thereby leaving the second position to 4.

Ultimately, the three-digit number is 942.

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