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 equations holds true?
Option 1: 4 × 5 + 9 – 3 ÷ 4 = 15
Option 2: 4 – 5 × 9 + 3 ÷ 4 = 32
Option 3: 4 – 5 ÷ 18 × 3 – 4 = 70
Option 4: 4 ÷ 5 + 9 – 3 ÷ 4 = 81
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Correct Answer: 4 × 5 + 9 – 3 ÷ 4 = 15
Solution :
Given:
– stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition.
Let's check the options –
First option:
4 × 5 + 9 – 3 ÷ 4 = 15
On interchanging the symbols, the equation becomes –
4 + 5 × 9 ÷ 3 – 4 = 15
Solving the L.H.S. of the equation –
= 4 + 5 × 3 – 4
= 4 + 15 – 4
= 19 – 4
= 15
Second option:
4 – 5 × 9 + 3 ÷ 4 = 32
On interchanging the symbols, the equation becomes –
4 ÷ 5 + 9 × 3 – 4 = 32
Solving the L.H.S. of the equation –
= 0.8 + 9 × 3 – 4
= 0.8 + 27 – 4
= 27.8 – 4
= 23.8 ≠ 32
Third option:
4 – 5 ÷ 18 × 3 – 4 = 70
On interchanging the symbols, the equation becomes –
4 ÷ 5 – 18 + 3 × 4 = 70
Solving the L.H.S. of the equation –
= 0.8 – 18 + 3 × 4
= 0.8 – 18 + 12
= 12.8 – 18
= –5.2 ≠ 70
Fourth option:
4 ÷ 5 + 9 – 3 ÷ 4 = 81
On interchanging the symbols, the equation becomes –
4 – 5 × 9 ÷ 3 – 4 = 81
Solving the L.H.S. of the equation –
= 4 – 5 × 3 – 4
= 4 – 15 – 4
= –15 ≠ 81
So, only the first option satisfies the given equation. Hence, the first option is correct.
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