Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
117 ÷ 13 + 16 × 540 - 40 = 644
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1. ÷ and +
117 + 13 ÷ 16 × 540 - 40 = 644
⇒ 117 + 0.8125 × 540 - 40 = 644
⇒ 117 + 438.75 - 40 = 644
⇒ 555.75 - 40 = 644
⇒ 515.75 - 40 ≠ 644
2. + and ×
117 ÷ 13 × 16 + 540 - 40 = 644
⇒ 9 × 16 + 540 - 40 = 644
⇒ 144 + 540 - 40 = 644
⇒ 684 - 40 = 644
⇒ 644 = 644
3. - and +
117 ÷ 13 - 16 × 540 + 40 = 644
⇒ 9 - 8640 + 40 = 644
⇒ 49 - 8640 = 644
⇒ -8591 ≠ 644
4. ÷ and -
117 - 13 + 16 × 540 ÷ 40 = 644
⇒ 117 - 13 + 16 × 13.5 = 644
⇒ 117 - 13 + 216 = 644
⇒ 333 - 13 = 644
⇒ 320 ≠ 644
Hence, ‘+ and ×’ is the correct answer.
Last updated on Jul 21, 2025
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