Question 3

Explanation

We will check each number to see if it satisfies the following two conditions:

1. When divided by $5$, the remainder is $4$ ($n \equiv 4 \pmod 5$).
2. When divided by $4$, the remainder is $3$ ($n \equiv 3 \pmod 4$).

Checking Number 19

The number $19$ satisfies both conditions. (Correct)

Checking Number 29

The number $29$ does not satisfy the second condition because the remainder is $1$ when divided by $4$. (Incorrect)

Checking Number 39

The number $39$ satisfies both conditions. (Correct)

Checking Number 49

The number $49$ does not satisfy the second condition because the remainder is $1$ when divided by $4$. (Incorrect)

Conclusion

The numbers that satisfy the conditions are $19$ and $39$ (Statements $1$ and $3$).