Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbols. If + stands for division; × stands for addition; – stands for multiplication; and ÷ stands for subtraction; then which of the following equations is correct?
Option 1: 33 × 4 – 5 + 6 ÷ 2 = 26
Option 2: 33 ÷ 4 × 5 + 6 – 2 = 30
Option 3: 33 – 4 + 5 ÷ 6 × 2 = 24
Option 4: 33 – 4 ÷ 5 × 6 + 2 = 130
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Correct Answer: 33 – 4 ÷ 5 × 6 + 2 = 130
Solution : Given: + stands for division; × stands for addition; – stands for multiplication; and ÷ stands for subtraction.
Let's check the given options – Replace the given symbols in the options one by one with the original symbols in the given equation. First option: 33 × 4 – 5 + 6 ÷ 2 = 26 Now, replace the symbols as per the instructions given – = 33 + 4 × 5 ÷ 6 – 2 = 33 + 4 × 0.83 – 2 = 33 + 3.32 – 2 = 36.32 – 2 = 34.32 ≠ 26 Second option: 33 ÷ 4 x 5 + 6 – 2 = 30 Now, replace the symbols as per the instructions given – = 33 – 4 + 5 ÷ 6 × 2 = 33 – 4 + 0.83 × 2 = 33 – 4 + 1.66 = 34.66 – 4 = 30.66 ≠ 30 Third option: 33 – 4 + 5 ÷ 6 × 2 = 24 Now, replace the symbols as per the instructions given – = 33 × 4 ÷ 5 – 6 + 2 = 33 × 0.8 – 6 + 2 = 26.4 – 6 + 2 = 28.4 – 6 = 22.4 ≠ 24 Fourth option: 33 – 4 ÷ 5 × 6 + 2 = 130 Now, replace the symbols as per the instructions given – = 33 × 4 – 5 + 6 ÷ 2 = 33 × 4 – 5 + 3 = 132 – 5 + 3 = 135 – 5 = 130 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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