pushpitkc wrote:

If P is a positive integer, P= ?

1. When a positive number N is divided by P, the remainder is 12.

2. \(\frac{N}{P} = 29.15\)

Source :

Experts GlobalStatement One Alone:

When a positive number N is divided by P, the remainder is 12.

We can create the following equation:

N/P = Q + 12/P (where Q is a positive integer)

We see that we cannot determine P. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

N/P = 29.15

We can expand the statement to read:

N/P = 29 + 15/100 (where P = 100)

N/P = 29 + 3/20 (where P = 20)

Since we have two values for P, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using statements one and two, we see that :

N/P = 29 + 3/20

and

N/P = Q + 12/P

Thus:

3/20 = 12/P

3P = 20 x 12

P = 20 x 4 = 80

(Note: We could have used 12/100 instead of 3/20 to set up the proportion; the result for P would be the same.)

Answer: C

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