A student was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was 10 less than the correct answer. The number was :Options10152012

Let's solve this step by step:

1. Let's assume the number the student was asked to multiply is "x".
2. The student divided the number by 3/2 instead of multiplying it.
3. So, the student's result can be represented as (x / (3/2)).
4. The correct answer would be (x * (3/2)).
5. According to the problem, the student's result was 10 less than the correct answer.
6. We can write this as an equation: (x / (3/2)) = (x * (3/2)) - 10.
7. To simplify the equation, we can multiply both sides by (3/2) to get rid of the denominator: x = (x * 3) - 15.
8. Distributing the multiplication on the right side, we have: x = 3x - 15.
9. Subtracting 3x from both sides, we get: -2x = -15.
10. Dividing both sides by -2, we find: x = 7.5.

Therefore, the number the student was asked to multiply is 7.5.