Question

I am even, between the number of days and 4 months, and the value of 12 dozen. The product of my digits is 18. What number am I?

Options:
A) 248
B) 624
C) 426
D) 642

Answer 1

The number that satisfies the given conditions is 642 (option D). It is between the number of days and 4 months, and has a product of digits equal to 18.

Step-by-step explanation:

The number that satisfies the given conditions is 642 (option D). Let's break it down step-by-step:

1. Between the number of days and 4 months: The number of days in 4 months is 4 x 30 = 120. The number must be even, so it can't be 121 or 119. The only option satisfying this condition is 120.
2. Value of 12 dozen: 12 dozen is equal to 12 x 12 = 144. We need to figure out which digit represents this value. The factors of 144 that satisfy the condition of the product of digits being 18 are 9 and 16. However, 16 is not even, so the digit representing 144 must be 9.
3. Combining the two conditions, the number is 642.