Question
Download Solution PDFAfter interchanging which two signs and two numbers, the value of the given equation will be '6'?
7 - 2 × 1 ÷ 3 + 5
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the table given below:
Given:
7 - 2 × 1 ÷ 3 + 5
Interchanging two signs and two numbers as per the given options:
1. + and -, 7 and 5
⇒ 7 - 2 × 1 ÷ 3 + 5
After interchanging:
⇒ 5 + 2 × 1 ÷ 3 - 7
Apply BODMAS rule:
⇒ 5 + 2 × 0.33 - 7
⇒ 5 + 0.66 - 7
⇒ 5.66 - 7 = (-1.34)
2. × and -, 5 and 3
⇒ 7 - 2 × 1 ÷ 3 + 5
After interchanging:
⇒ 7 × 2 - 1 ÷ 5 + 3
Apply BODMAS rule:
⇒ 7 × 2 - 0.2 + 3
⇒ 14 - 0.2 + 3 = 16.8
3. × and ÷, 2 and 7
⇒ 7 - 2 × 1 ÷ 3 + 5
After interchanging:
⇒ 2 - 7 ÷ 1 × 3 + 5
Apply BODMAS rule:
⇒ 2 - 7 × 3 + 5
⇒ 2 - 21 + 5 = (-14)
4. × and ÷, 7 and 5
⇒ 7 - 2 × 1 ÷ 3 + 5
After interchanging:
⇒ 5 - 2 ÷ 1 × 3 + 7
Apply BODMAS rule:
⇒ 5 - 2 × 3 + 7
⇒ 5 - 6 + 7
⇒ 12 - 6 = 6
Here, the value of the equation is 6.
Hence, the correct answer is "Option (4)".
Last updated on May 28, 2025
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