Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following signs.
If – stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition, which one of the following equations is correct?
Option 1: 20 – 4 + 6 ÷ 9 × 4 = 25
Option 2: 20 + 6 – 4 × 9 ÷ 6 = 32
Option 3: 20 ÷ 9 × 9 – 4 + 6 = 33
Option 4: 20 × 4 – 6 ÷ 4 + 9 = 20
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Correct Answer: 20 – 4 + 6 ÷ 9 × 4 = 25
Solution :
Given:
– stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition.
Replace the mathematical signs in the equations and solve the equations one by one.
Let's check the given options –
First option:
20 – 4 + 6 ÷ 9 × 4 = 25
⇒ 20 ÷ 4 × 6 – 9 + 4 = 25
Solving L.H.S. of the equation –
= 5 × 6 – 9 + 4
= 30 – 9 + 4
= 34 – 9
= 25 = R.H.S.
Second option:
20 + 6 – 4 × 9 ÷ 6 = 32
⇒ 20 × 6 ÷ 4 + 9 – 6 = 32
Solving L.H.S. of the equation –
= 20 × 1.5 + 9 – 6
= 30 + 9 – 6
= 39 – 6
= 33 ≠ 32
Third option:
20 ÷ 9 × 9 – 4 + 6 = 33
⇒ 20 – 9 + 9 ÷ 4 × 6 = 33
Solving L.H.S. of the equation –
= 20 – 9 + 2.25 × 6
= 20 – 9 + 13.5
= 33.5 – 9
= 24.5 ≠ 33
Fourth option:
20 × 4 – 6 ÷ 4 + 9 = 20
⇒ 20 + 4 ÷ 6 – 4 × 9 = 20
Solving L.H.S. of the equation –
= 20 + 0.67 – 4 × 9
= 20 + 0.67 – 36
= 20.67 – 36
= –15.33 ≠ 20
So, only the first option satisfies the given condition. Hence, the first option is correct.
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