Question
Download Solution PDFWhich of the following interchange of numbers and mathematical signs would make the given equation correct?
28 + 7 × 10 ÷ 5 - 20 = 5
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMistake Point
- Please note that, in this kind of question we have to replace the digits on the right-hand side too that's why 5 is replaced by 10 in the given solution.
Given equation : 28 + 7 × 10 ÷ 5 - 20 = 5
According to the question, after interchanging of numbers and mathematical signs:
So,
- Option - (1) : 10 and 20, × and +
28 × 7 + 20 ÷ 5 - 10 = 5
28 × 7 + 4 - 10 = 5
196 + 4 - 10 = 5
200 - 10 = 5
190 ≠ 5 (LHS ≠ RHS)
- Option - (2) : 5 and 20, - and ÷
28 + 7 × 10 - 20 ÷ 5 = 20
28 + 7 × 10 - 4 = 20
28 + 70 - 4 = 20
98 - 4 = 20
94 ≠ 20 (LHS ≠ RHS)
- Option - (3) : 7 and 28, × and ÷
7 + 28 ÷ 10 × 5 - 20 = 5
7 + 2.8 × 5 - 20 = 5
7 + 14 - 20 = 5
18 - 20 = 5
-2 ≠ 5 (LHS ≠ RHS)
- Option - (4) : 5 and 10, + and ÷
28 ÷ 7 × 5 + 10 - 20 = 10
4 × 5 + 10 - 20 = 10
20 + 10 - 20 = 10
30 - 20 = 10
10 = 10 (LHS = RHS)
Hence, "Option - (4)" is the correct answer.
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