Question : Directions: Which two signs should be interchanged in the following equation to make it correct?
38 ÷ 19 × 11 – 357 + 17 = 226
Option 1: – and ÷
Option 2: + and ÷
Option 3: × and +
Option 4: × and –
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Correct Answer: + and ÷
Solution :
Given:
38 ÷ 19 × 11 – 357 + 17 = 226
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and ÷
= 38 – 19 × 11 ÷ 357 + 17
= 38 – 0.58 + 17
= 54.42 ≠ 226
Second option:
+ and ÷
= 38 + 19 × 11 – 357 ÷ 17
= 38 + 209 – 21
= 226
Third option:
× and +
= 38 ÷ 19 + 11 – 357 × 17
= 2 + 11 – 6069
= – 6056 ≠ 226
Fourth option
: × and –
= 38 ÷ 19 – 11 × 357 + 17
= 2 – 3927 + 17
= 3908 ≠ 226
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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