Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following signs.
If × means addition, – means division, ÷ means subtraction, and + means multiplication, then which of the equations is correct?
Option 1: 16 × 5 ÷ 10 + 4 – 3 = 19
Option 2: 16 + 5 ÷ 10 × 4 – 3 = 9
Option 3: 16 + 5 – 10 × 4 ÷ 3 = 9
Option 4: 16 – 5 × 10 ÷ 4 + 3 = 12
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Correct Answer: 16 + 5 – 10 × 4 ÷ 3 = 9
Solution :
Given:
× means addition, – means division, ÷ means subtraction, and + means multiplication.
Replace the mathematical signs in the equations and solve the equations one by one.
Let's check the given options –
First option:
16 × 5 ÷ 10 + 4 – 3 = 19
⇒ 16 + 5 – 10 × 4 ÷ 3 = 19
Solving L.H.S. of the equation –
= 16 + 5 – 10 × 1.33
= 16 + 5 – 13.33
= 21 – 13.33
= 7.67 ≠ 19
Second option:
16 + 5 ÷ 10 × 4 – 3 = 9
⇒ 16 × 5 – 10 + 4 ÷ 3 = 9
Solving L.H.S. of the equation –
= 16 × 5 – 10 + 1.33
= 80 – 10 + 1.33
= 81.33 – 10
= 71.33 ≠ 9
Third option:
16 + 5 – 10 × 4 ÷ 3 = 9
⇒ 16 × 5 ÷ 10 + 4 – 3 = 9
Solving L.H.S. of the equation –
= 16 × 0.5 + 4 – 3
= 8 + 4 – 3
= 12 – 3
= 9 = R.H.S.
Fourth option:
16 – 5 × 10 ÷ 4 + 3 = 12
⇒ 16 ÷ 5 + 10 – 4 × 3 = 12
Solving L.H.S. of the equation –
= 3.2 + 10 – 4 × 3
= 3.2 + 10 – 12
= 13.2 – 12
= 1.2 ≠ 12
So, only the third option satisfies the given condition. Hence, the third option is correct.
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