Question
Download Solution PDFWhich two signs should be interchanged to make the given equation correct?
756 ÷ 252 + 89 × 180 - 63 = 384
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe logic followed here is :-
By using BODMAS RULE :
Option 1) : + and ×
Given equation is : 756 ÷ 252 + 89 × 180 - 63 = 384
After interchanging the two signs the equation is as follows : 756 ÷ 252 × 89 + 180 - 63 = 384
⇒ 756 ÷ 252 × 89 + 180 - 63 = 384
⇒ 3 × 89 + 180 - 63 = 384
⇒ 267 + 180 - 63 = 384
⇒ 447 - 63 = 384
⇒ 384 = 384
LHS = RHS
Option 2) : ÷ and -
Given equation is : 756 ÷ 252 + 89 × 180 - 63 = 384
After interchanging the two signs the equation is as follows : 756 - 252 + 89 × 180 ÷ 63 = 384
⇒ 756 - 252 + 89 × 180 ÷ 63 = 384
⇒ 756 - 252 + 89 × 2.857 = 384
⇒ 756 - 252 + 254.2857 = 384
⇒ 1010.2857 - 252 = 384
⇒ 758.2857 ≠ 384
LHS ≠ RHS
Option 3) : - and +
Given equation is : 756 ÷ 252 + 89 × 180 - 63 = 384
After interchanging the two signs the equation is as follows : 756 ÷ 252 - 89 × 180 + 63 = 384
⇒ 756 ÷ 252 - 89 × 180 + 63 = 384
⇒ 3 - 89 × 180 + 63 = 384
⇒ 3 - 16020 + 63 = 384
⇒ 66 - 16020 = 384
⇒ 15954 ≠ 384
LHS ≠ RHS
Option 4) : ÷ and +
Given equation is : 756 ÷ 252 + 89 × 180 - 63 = 384
After interchanging the two signs the equation is as follows : 756 + 252 ÷ 89 × 180 - 63 = 384
⇒ 756 + 252 ÷ 89 × 180 - 63 = 384
⇒ 756 + 2.831 × 180 - 63 = 384
⇒ 756 + 509.66 - 63 = 384
⇒ 1265.66 - 63 = 384
⇒ 1202.66 ≠ 384
LHS ≠ RHS
Hence, the correct answer is "+ and ×".
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