Which of the following interchange of signs would make the given equation correct?
13 + 26 × 2 − 5 ÷ 4 = 6
- AOption (a)
÷ and +
- BOption (b)
- and −
- COption (c)
× and −
- DOption (d)
× and ÷
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Correct answer
× and ÷
Why this answer is correct
Given equation: 13 + 26 × 2 − 5 ÷ 4 = 6.
BODMAS Table:
Let's check each option one by one.
Option 1) ÷ and +
Given: 13 + 26 × 2 − 5 ÷ 4 = 6
After interchanging the signs we get;
⇒ 13 ÷ 26 × 2 − 5 + 4 = 6
⇒ 0.5 × 2 − 5 + 4 = 6
⇒ 1 − 5 + 4 = 6
⇒ 5 - 5 = 6
⇒ 0 ≠ 6
⇒ LHS ≠ RHS
Option 2) + and −
Given: 13 + 26 × 2 − 5 ÷ 4 = 6
After interchanging the signs we get;
⇒ 13 - 26 × 2 + 5 ÷ 4 = 6
⇒ 13 - 26 × 2 + 1.25 = 6
⇒ 13 - 52 + 1.25 = 6
⇒ 14.25 - 52 = 6
⇒ -37.75 ≠ 6
⇒ LHS ≠ RHS
Option 3) × and −
Given: 13 + 26 × 2 − 5 ÷ 4 = 6
After interchanging the signs we get;
⇒ 13 + 26 - 2 × 5 ÷ 4 = 6
⇒ 13 + 26 - 2 × 1.25 = 6
⇒ 13 + 26 - 2.5 = 6
⇒ 39 - 2.5 = 6
⇒ 36.5 ≠ 6
⇒ LHS ≠ RHS
Option 4) × and ÷
Given: 13 + 26 × 2 − 5 ÷ 4 = 6
After interchanging the signs we get;
⇒ 13 + 26 ÷ 2 − 5 × 4 = 6
⇒ 13 + 13 − 5 × 4 = 6
⇒ 13 + 13 − 20 = 6
⇒ 26 - 20 = 6
⇒ 6 = 6
⇒ LHS = RHS
Hence, the correct answer is "Option 4".


























