Question

Maria and Tina are trying to locate Zara's house among a series of houses on a street in Nashville. Zara gives them a clue, "The face value and the place value of the middle digit of my house number are the same." Can you help them find Zara's house number?

• A. 765
• B. 504
• C. 647
• D. 829

Answer 1

The correct option is B 504

Let's look at the middle digit of all the house numbers given in the options one by one.
All of them are three-digit numbers whose middle digit is in the tens place.

765:
The middle digit is 6.
Place value = 6 × 10 = 60
Face value = 6 (the number itself)

829:
The middle digit is 2.
Place value = 2 × 10 = 20
Face value = 2 (the number itself)

647:
The middle digit is 4.
Place value = 4 × 10 = 40
Face value = 4 (the number itself)

504:
The middle digit is 0.
Place value = 0 × 10 = 0
Face value = 0 (the number itself)

So, in the case of 504, the face value and the place value of the middle digit is the same.

∴ Zara's house number is 504.