Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
1664 ÷ 4 × 2 + 712 - 316 = 436
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
(1) ÷ and +
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 + 4 × 2 ÷ 712 - 316 = 436
Apply BODMAS rule:
⇒ 1664 + 4 × 0.0028 - 316
⇒ 1664 + 0.0112 - 316
⇒ 1664.0112 - 316 = 1348.0112
Here, the equation is not satisfied.
(2) ÷ and -
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 - 4 × 2 + 712 ÷ 316 = 436
Apply BODMAS rule:
⇒ 1664 - 4 × 2 + 2.25
⇒ 1664 - 8 + 2.25
⇒ 1666.25 - 8 = 1658.25
Here, the equation is not satisfied.
(3) - and +
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 ÷ 4 × 2 - 712 + 316 = 436
Apply BODMAS rule:
⇒ 416 × 2 - 712 + 316
⇒ 832 - 712 + 316
⇒ 1148 - 712 = 436
⇒ '1664 ÷ 4 × 2 - 712 + 316 = 436'
Here, the equation is satisfied.
(4) + and ×
⇒ 1664 ÷ 4 × 2 + 712 - 316 = 436
After changing the signs:
⇒ 1664 ÷ 4 + 2 × 712 - 316 = 436
Apply BODMAS rule:
⇒ 416 + 2 × 712 - 316
⇒ 416 + 1424 - 316
⇒ 1840 - 316 = 1524
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
Last updated on Jul 14, 2025
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