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 multiplication, – stands for division, × stands for addition, and ÷ stands for subtraction, then which one of the following equations is correct?
Option 1: 12 × 5 + 4 – 5 ÷ 4 = 20
Option 2: 12 ÷ 5 + 4 – 5 × 4 = 18
Option 3: 12 + 5 – 4 × 5 ÷ 4 = 16
Option 4: 12 ÷ 5 – 4 × 5 + 4 = 22
Correct Answer: 12 + 5 – 4 × 5 ÷ 4 = 16
Solution :
Given:
+ stands for multiplication, – stands for division, × stands for addition, and ÷ stands for subtraction.
Replace the mathematical signs and solve the equations.
Let's check the given options –
First option:
12 × 5 + 4 – 5 ÷ 4 = 20
⇒ 12 + 5 × 4 ÷ 5 – 4 = 20
Solving L.H.S. of the equation –
= 12 + 5 × 0.8 – 4
= 12 + 4 – 4
= 16 – 4
= 12 ≠ 20
Second option:
12 ÷ 5 + 4 – 5 × 4 = 18
⇒ 12 – 5 × 4 ÷ 5 + 4 = 18
Solving L.H.S. of the equation –
= 12 – 5 × 0.8 + 4
= 12 – 4 + 4
= 16 – 4
= 12 ≠ 18
Third option:
12 + 5 – 4 × 5 ÷ 4 = 16
⇒ 12 × 5 ÷ 4 + 5 – 4 = 16
Solving L.H.S. of the equation –
= 12 × 1.25 + 5 – 4
= 15 + 5 – 4
= 20 – 4
= 16 = R.H.S.
Fourth option:
12 ÷ 5 – 4 × 5 + 4 = 22
⇒ 12 – 5 ÷ 4 + 5 × 4 = 22
Solving L.H.S. of the equation –
= 12 – 1.25 + 5 × 4
= 12 – 1.25 + 20
= 32 – 1.25
= 30.75 ≠ 22
So, only the equation in the third option satisfies the given conditions. Hence, the third option is correct.
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