Question
Download Solution PDFWhich of the following interchanges of numbers and mathematical signs would make the given equation correct?
729 × 81 ÷ 20 + 16 − 6 = 50
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct pattern followed here is:
Solve with the help of the BODMAS Rule:
Given: 729 × 81 ÷ 20 + 16 − 6 = 50
Option 1) 6 and 20, × and ÷
After replacing the sign and number we get the:
⇒ 729 ÷ 81 × 6 + 16 − 20 = 50
⇒ 9 × 6 + 16 − 20 = 50
⇒ 54 + 16 - 20 = 50
⇒ 70 - 20 = 50
⇒ 50 = 50
⇒ LHS = RHS
Option 2) 20 and 50, + and −
After replacing the sign and number we get the:
⇒ 729 × 81 ÷ 50 - 16 + 6 = 20
⇒ 729 × 1.62 - 16 + 6 = 20
⇒ 1180.98 - 16 + 6 = 20
⇒ 1186.98 - 16 = 20
⇒ 1170.98 ≠ 20
⇒ LHS ≠ RHS
Option 3) 16 and 50, × and +
After replacing the sign and number we get the:
⇒ 729 + 81 ÷ 20 × 50 − 6 = 16
⇒ 729 + 1.62 × 50 - 6 = 16
⇒ 729 + 81 - 6 = 16
⇒ 810 - 6 = 16
⇒ 804 ≠ 16
⇒ LHS ≠ RHS
Option 4) 16 and 20, + and ÷
⇒ 729 × 81 + 16 ÷ 20 − 6 = 50
⇒ 729 × 81 + 0.8 - 6 = 50
⇒ 59049 + 0.8 - 6 = 50
⇒ 59049.8 - 6 = 50
⇒ 59043.8 ≠ 50
⇒ LHS ≠ RHS
Hence, the correct answer is "Option 1".
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