Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
12 ÷ 5 - 8 × 2 + 14 = 70
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 12 ÷ 5 - 8 × 2 + 14 = 70
(1) - and +
⇒ 12 ÷ 5 - 8 × 2 + 14 = 70
After interchanging the signs:
⇒ 12 ÷ 5 + 8 × 2 - 14 = 70
Apply BODMAS rule:
⇒ 2.4 + 8 × 2 - 14
⇒ 2.4 + 16 - 14
⇒ 18.4 - 14 = 4.4
Here, the equation is not satisfied.
(2) + and ×
⇒ 12 ÷ 5 - 8 × 2 + 14 = 70
After interchanging the signs:
⇒ 12 ÷ 5 - 8 + 2 × 14 = 70
Apply BODMAS rule:
⇒ 2.4 - 8 + 2 × 14
⇒ 2.4 - 8 + 28
⇒ 30.4 - 8 = 22.4
Here, the equation is not satisfied.
(3) ÷ and ×
⇒ 12 ÷ 5 - 8 × 2 + 14 = 70
After interchanging the signs:
⇒ 12 × 5 - 8 ÷ 2 + 14 = 70
Apply BODMAS rule:
⇒ 12 × 5 - 4 + 14
⇒ 60 - 4 + 14
⇒ 74 - 4 = 70
⇒ '12 × 5 - 8 ÷ 2 + 14 = 70'
Here, the equation is satisfied.
(4) ÷ and +
⇒ 12 ÷ 5 - 8 × 2 + 14 = 70
After interchanging the signs:
⇒ 12 + 5 - 8 × 2 ÷ 14 = 70
Apply BODMAS rule:
⇒ 12 + 5 - 8 × 0.142
⇒ 12 + 5 - 1.142
⇒ 17 - 1.142 = 15.85
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
Last updated on Jun 13, 2025
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