Which two signs and two numbers should be interchanged to make the given equation correct?
$$28 + 4 \times 16 \div 5 - 17 = 127$$

Option (a) $$4\ and\ 5,+\ and\ \times$$

$$28\times5+16\div4-17=127$$

$$28\times5+\frac{16}{4}-17=127$$

$$140+4-17=127$$

144-17=127

127=127

The given equation is satisfied. So this will be the correct answer.

Option (b) $$28\ and\ 16,+\ and\ \div$$

$$16\div4\times28+5-17=127$$

$$4\times28+5-17=127$$

112+5-17=127

117-17=127

$$100\ne\ 127$$

Option (c) $$4\ and\ 5,+\ and\ -$$

$$28-5\times16\div4+17=127$$

$$28-5\times4+17=127$$

$$28-20+17=127$$

$$25\ne127$$

The given equation is not satisfied. So this will not be the correct answer.
Option (d) $$28\ and\ 5,\div\ and\ \times$$

$$5+4\times\frac{16}{28}-17=127$$

$$5+4\times\frac{4}{7}-17=127$$

This equation will give a fractional value that does not satisfy the given equation. So this will not be the correct answer.