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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