# Solutions

Get detailed explanations to advanced GMAT questions.

### Question

How many positive three-digit integers are divisible by both 3 and 4?

Option A:

75

Option B:

128

Option C:

150

Option D:

225

Option E:

300

### Difficulty Level

Hard### Solution

Option A is the correct answer.

### Option Analysis

A number to be divisible by both 3 and 4 should be divisible by the least common multiple of 3 and 4 so by 12.

Number of multiples of 12 between 100 and 999, inclusive is (last-first)/multiple+1

=(996- 108)/12+1=75

### Related Questions

- At a certain committee meeting only associate professors and assistant professors are present…

- If the sum of the consecutive integers from –42 to n inclusive is 372, what is the value of n?

- A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer…

- When the even integer n is divided by 9, the remainder is 8. Which of the following, when added to n…

- A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow…