What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘ב are interchanged and ‘−’ and ‘÷’ are interchanged? 95 − 19 × 4 + 6 ÷ 16 = ?

Correct — D. Rule: '+' and '×' trade places, and '−' and '÷' trade places. Both swaps run in both directions.

Rewrite the line sign by sign:
95 − 19 × 4 + 6 ÷ 16
becomes 95 ÷ 19 + 4 × 6 − 16

Now apply BODMAS to the rewritten line:
95 ÷ 19 = 5
4 × 6 = 24
5 + 24 − 16 = 13 → option (d)

Why the others are wrong

• (a)
  11 — 11 is two below the rewritten line's value. It needs the final term to be 18, but the line ends in −16 and an interchange changes operators only, never the numbers.
• (b)
  14 — 14 is one above. It needs 4 × 6 to be 25. The swap turns the printed plus into a times but leaves 4 and 6 exactly where they were, so that term is 24.
• (c)
  12 — 12 is one below. It needs 95 ÷ 19 to come out as 4, but that division is exact: 19 × 5 = 95, so the first term is 5.

A symbol-interchange item is two questions stacked. Rewrite the line first, on paper, then evaluate the rewritten line. Doing the swap in your head while computing is where the marks go.

Both swaps are two-way. Every printed '+' becomes '×' and every printed '×' becomes '+', so a line can end up carrying operators it did not start with.

The swap touches operators only. 95, 19, 4, 6 and 16 stay exactly where they are — only the symbols between them change.

Key facts

• After the swap the line reads 95 ÷ 19 + 4 × 6 − 16.
• 95 ÷ 19 = 5 and 4 × 6 = 24, so the line comes to 13.
• An interchange swaps operators only and never moves a number.
• BODMAS is applied to the rewritten line, not to the printed one.

Common traps

• Swapping one pair of symbols and leaving the other pair untouched
• Evaluating the rewritten line strictly left to right instead of by BODMAS
• Applying BODMAS to the printed line first and swapping the symbols afterwards

No directly related past PYQ was found.