Question
Download Solution PDFWhich two numbers from amongst the given options should be interchanged to make the given equation correct?
248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe apply the options to the given equation and solve it using BODMAS rule:
Given equation: 248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77
Option 1) 8 and 4
After Interchanging:
⇒ 248 ÷ 8 + 184 ÷ ( 4 × 6 – 2 × 4) = 77
⇒ 248 ÷ 8 + 184 ÷ (24 – 8) = 77
⇒ 248 ÷ 8 + 184 ÷ 16 = 77
⇒ 31 + 11.5 = 77
⇒ 42.5 ≠ 77.
Given equation: 248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77
Option 2) 184 and 77
After interchanging:
⇒ 248 ÷ 4 + 77 ÷ ( 4 × 6 – 2 × 8) = 184
⇒ 248 ÷ 4 + 77 ÷ (24 – 16) = 184
⇒ 248 ÷ 4 + 77 ÷ 8 = 184
⇒ 62 + 9.6 = 184
⇒ 71.6 ≠ 184.
Given equation: 248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77
Option 3) 184 and 248
After Interchanging:
⇒ 184 ÷ 4 + 248 ÷ ( 4 × 6 – 2 × 8) = 77
⇒ 184 ÷ 4 + 248 ÷ (24 – 16) = 77
⇒ 184 ÷ 4 + 248 ÷ 8 = 77
⇒ 46 + 31 = 77
⇒ 77 = 77.
Given equation: 248 ÷ 4 + 184 ÷ ( 4 × 6 – 2 × 8) = 77
Option 4) 4 and 6
After Interchanging:
⇒ 248 ÷ 6 + 184 ÷ ( 4 × 4 – 2 × 8) = 77
⇒ 248 ÷ 6 + 184 ÷ (16 – 16) = 77
⇒ 248 ÷ 6 + 184 ÷ 0 = 77
⇒ 41.3 + 0 = 77
⇒ 41.3 ≠ 77
Hence, the correct answer is "Option 3".
Last updated on Jul 19, 2025
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