Question
Download Solution PDFWhich two numbers and two signs should be interchanged in the following equation to make it correct?
18 - 6 + 11 × 5 + 18 = 113
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
18 - 6 + 11 \(\times\) 5 + 18 = 113
(1) 6 and 5, + and \(\times\)
After interchanging the respective values and signs the equation becomes:
18 - 5 \(\times\) 11 + 6 + 18 = 113
After applying BODMAS rule,
18 - 55 + 6 + 18
42 - 55 = -13
it doesn't satisfy the equation.
(2) 18 and 5, + and \(\times\)
After interchanging the respective values and signs the equation becomes:
5 - 6 + 11 + 18 \(\times\) 18 = 113
After applying BODMAS rule,
5 - 6 + 11 + 324
340 - 6 = 334
It doesn't satisfy the equation.
(3) 6 and 5, - and \(\times\)
After interchanging the respective values and signs the equation becomes:
18 \(\times\) 5 + 11 - 6 + 18 = 113
After applying BODMAS rule,
90 + 11 - 6 + 18
119 - 6 = 113
Here LHS = RHS, it satisfies the equation.
(4) 18 and 5, - and \(\times\)
After interchanging the respective values and signs the equation becomes:
5 \(\times\) 6 + 11 - 18 + 18 = 113
After applying BODMAS rule,
30 + 11 - 18 + 18
49 - 18 = 31
It doesn't satisfy the equation.
Hence the correct answer is Option 3.
Last updated on Jun 11, 2025
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