Each vote in a certain election went to one of two candidates, X or Y. Candidate X received 624 of the votes cast by men, and Candidate Y received 483 of the votes cast by women. How many votes did Candidate X receive?

The statement 2 is sufficient and total number of votes candidate X received is 946.

Step-by-step explanation:

Consider the provided information.

Candidate X received 624 of the votes cast by men, and Candidate Y received 483 of the votes cast by women.

The required table is shown below:

X Y

Men 624?

Women? 483

We need to find how many votes did Candidate X receive?

Statement 1: Candidate X received 50% cast by men.

That mean remain 50% cast by Candidate Y.

Therefore the complete table will look like this:

X Y

Men 624 624

Women? 483

But we need to find the number of votes received by Candidate X.

We don't have enough information to find the sum of the values under X column. Hence, the statement 1 is not sufficient.

Statement 2: Candidate Y received 60% cast by women.

Candidate Y received 60% cast that means Candidate X received 40% cast.

0.6 of x = 483

x = 805

Now 40% of 805 is: 322

Thus, the complete table is:

X Y

Men 624 624

Women 322 483

Total 946

Hence, the statement 2 is sufficient.