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 addition; – stands for multiplication and ÷ stands for subtraction.
Option 1: 5 – 3 + 2 × 4 ÷ 8 = 2
Option 2: 5 × 3 + 2 – 4 × 8 = 19
Option 3: 5 ÷ 3 × 2 – 4 + 8 = 8
Option 4: 5 + 3 × 2 ÷ 4 – 8 = 4
Correct Answer: 5 × 3 + 2 – 4 × 8 = 19
Solution :
Given:
+ stands for division; × stands for addition; – stands for multiplication and ÷ stands for subtraction.
Let's check the options –
First option:
5 – 3 + 2 × 4 ÷ 8 = 2
On replacing ⇒ 5 × 3 ÷ 2 + 4 – 8 = 2
Solving the L.H.S. of the equation –
= 5 × 3 ÷ 2 + 4 – 8
= 5 × 1.5 + 4 – 8
= 7.5 + 4 – 8
= 11.5 – 8
= 3.5 ≠ 2
Second option:
5 × 3 + 2 – 4 × 8 = 19
On replacing ⇒ 5 + 3 ÷ 2 × 4 + 8 = 19
Solving the L.H.S. of the equation –
= 5 + 3 ÷ 2 × 4 + 8
= 5 + 1.5 × 4 + 8
= 5 + 6 + 8
= 19 = R.H.S.
Third option:
5 ÷ 3 × 2 – 4 + 8 = 8
On replacing ⇒ 5 – 3 + 2 × 4 ÷ 8 = 8
Solving the L.H.S. of the equation –
= 5 – 3 + 2 × 4 ÷ 8
= 5 – 3 + 2 × 0.5
= 5 – 3 + 1
= 6 – 3
= 3 ≠ 8
Fourth option:
5 + 3 × 2 ÷ 4 – 8 = 4
On replacing ⇒ 5 ÷ 3 + 2 – 4 × 8 = 4
= 1.67 + 2 – 4 × 8
= 1.67 + 2 – 32
= 3.67 – 32
= –28.33 ≠ 4
So, only the second option satisfies the given equation. Hence, the second option is correct.
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