Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
256 - 4 × 2 + 200 ÷ 19 = 309
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
(1) - and +
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 + 4 × 2 - 200 ÷ 19 = 309
Apply BODMAS rule:
⇒ 256 + 4 × 2 - 10.52
⇒ 256 + 8 - 10.52
⇒ 264 - 10.52 = 253.48
Here, the equation is not satisfied.
(2) ÷ and +
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 - 4 × 2 ÷ 200 + 19 = 309
Apply BODMAS rule:
⇒ 256 - 4 × 0.01 + 19
⇒ 256 - 0.04 + 19
⇒ 275 - 0.04 = 274.96
Here, the equation is not satisfied.
(3) ÷ and -
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 ÷ 4 × 2 + 200 - 19 = 309
Apply BODMAS rule:
⇒ 64 × 2 + 200 - 19
⇒ 128 + 200 - 19
⇒ 328 - 19 = 309
⇒ '256 ÷ 4 × 2 + 200 - 19 = 309'
Here, the equation is satisfied.
(4) + and ×
⇒ 256 - 4 × 2 + 200 ÷ 19 = 309
After interchanging the signs:
⇒ 256 - 4 + 2 × 200 ÷ 19 = 309
Apply BODMAS rule:
⇒ 256 - 4 + 2 × 10.52
⇒ 256 - 4 + 21.05
⇒ 277.05 - 4 = 273.05
Here, the equation is not satisfied.
Hence, the correct answer is "Option (3)".
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