Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
2 × 236 - 2 + 36 ÷ 72 = 200
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe logic followed here is :-
By using BODMAS RULE :
Option 1) : ÷ and -
Given equation is : 2 × 236 - 2 + 36 ÷ 72 = 200
After interchanging the two signs the equation is as follows : 2 × 236 ÷ 2 + 36 - 72 = 200
⇒ 2 × 236 ÷ 2 + 36 - 72 = 200
⇒ 2 × 118 + 36 - 72 = 200
⇒ 236 + 36 - 72 = 200
⇒ 272 - 72 = 200
⇒ 200 = 200
LHS = RHS
Option 2) : - and +
Given equation is : 2 × 236 - 2 + 36 ÷ 72 = 200
After interchanging the two signs the equation is as follows : 2 × 236 + 2 - 36 ÷ 72 = 200
⇒ 2 × 236 + 2 - 36 ÷ 72 = 200
⇒ 2 × 236 + 2 - 0.5 = 200
⇒ 472 + 2 - 0.5 = 200
⇒ 474 - 0.5 = 200
⇒ 473.5 ≠ 200
LHS ≠ RHS
Option 3) : × and +
Given equation is : 2 × 236 - 2 + 36 ÷ 72 = 200
After interchanging the two signs the equation is as follows : 2 + 236 - 2 × 36 ÷ 72 = 200
⇒ 2 + 236 - 2 × 36 ÷ 72 = 200
⇒ 2 + 236 - 2 × 0.5 = 200
⇒ 2 + 236 - 1 = 200
⇒ 238 - 1 = 200
⇒ 237 ≠ 200
LHS ≠ RHS
Option 4) : + and ÷
Given equation is : 2 × 236 - 2 + 36 ÷ 72 = 200
After interchanging the two signs the equation is as follows : 2 × 236 - 2 ÷ 36 + 72 = 200
⇒ 2 × 236 - 2 ÷ 36 + 72 = 200
⇒ 2 × 236 - 0.055 + 72 = 200
⇒ 472 - 0.055 + 72 = 200
⇒ 544 - 0.055 = 200
⇒ 543.945 ≠ 200
LHS ≠ RHS
Hence, the correct answer is "÷ and -".
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