What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
\( 10 ÷ 2 + 21 × 7 − 8 = ? + 5 \)
- AOption (a)
25
- BOption (b)
22
- COption (c)
30
- DOption (d)
28
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Correct answer
30
Why this answer is correct
BODMAS Table:
Given equation: 10 ÷ 2 + 21 × 7 − 8 = ? + 5
Now, replacing the symbols as:
| Symbol | + | × | ÷ |
|---|---|---|---|
| Replaced by | − | ÷ | × |
⇒ 10 × 2 − 21 ÷ 7 + 8 = ? − 5
⇒ 20 − 21 ÷ 7 + 8 = ? − 5
⇒ 20 − 3 + 8 = ? − 5
⇒ 17 + 8 = ? − 5
⇒ 25 = ? − 5
⇒ ? = 25 + 5
⇒ 30
Hence, the correct answer is Option 3.