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 multiplication, × stands for subtraction, and –stands for addition, then which of the following expressions is correct?
Option 1: 18 × 6 + 7 ÷ 5 – 2 = 16
Option 2: 18 ÷ 6 × 7 + 5 – 2 = 22
Option 3: 18 ÷ 6 – 7 + 5 × 2 = 20
Option 4: 18 + 6 ÷ 7 × 5 – 2 = 18
Correct Answer: 18 + 6 ÷ 7 × 5 – 2 = 18
Solution :
Given:
+ stands for division, ÷ stands for multiplication, × stands for subtraction, and –stands for addition.
Replace the mathematical signs and solve the equations.
Let's check the given options –
First option:
18 × 6 + 7 ÷ 5 – 2 = 16
⇒ 18 – 6 ÷ 7 × 5 + 2 = 16
Solving L.H.S. of the equation –
= 18 – 0.85 × 5 + 2
= 18 – 4.25 + 2
= 20 – 4.25
= 15.75 ≠ 16
Second option:
18 ÷ 6 × 7 + 5 – 2 = 22
⇒ 18 × 6 – 7 ÷ 5 + 2 = 22
Solving L.H.S. of the equation –
= 18 × 6 – 1.4 + 2
= 108 – 1.4 + 2
= 110 – 1.4
= 108.6 ≠ 22
Third option:
18 ÷ 6 – 7 + 5 × 2 = 20
⇒ 18 × 6 + 7 ÷ 5 – 2 = 20
Solving L.H.S. of the equation –
= 18 × 6 + 1.4 – 2
= 108 + 1.4 – 2
= 109.4 – 2
= 107.4 ≠ 20
Fourth option:
18 + 6 ÷ 7 × 5 – 2 = 18
⇒ 18 ÷ 6 × 7 – 5 + 2 = 18
Solving L.H.S. of the equation –
= 3 × 7 – 5 + 2
= 21 – 5 + 2
= 23 – 5
= 18 = R.H.S.
So, only the equation in the fourth option satisfies the given conditions. Hence, the fourth option is correct.
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