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 subtraction, – stands for addition, × stands for division, and + stands for multiplication, then which one of the following equations is correct?
Option 1: 35 ÷ 4 – 25 × 5 + 5 = 28
Option 2: 35 ÷ 4 – 25 × 5 + 5 = 61
Option 3: 35 ÷ 4 – 25 × 5 + 5 = 41
Option 4: 35 ÷ 4 – 25 × 5 + 5 = 56
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Correct Answer: 35 ÷ 4 – 25 × 5 + 5 = 56
Solution :
Given:
÷ stands for subtraction, – stands for addition, × stands for division, and + stands for multiplication.
Let's check the options –
First option:
35 ÷ 4 – 25 × 5 + 5 = 28
⇒ 35 – 4 + 25 ÷ 5 × 5 = 28
On solving the L.H.S. of the equation –
= 35 – 4 + 5 × 5
= 35 – 4 + 25
= 60 – 4
= 56 ≠ 28
Second option:
35 ÷ 4 – 25 × 5 + 5 = 61
⇒ 35 – 4 + 25 ÷ 5 × 5 = 61
On solving the L.H.S. of the equation –
= 35 – 4 + 5 × 5
= 35 – 4 + 25
= 60 – 4
= 56 ≠ 61
Third option:
35 ÷ 4 – 25 × 5 + 5 = 41
⇒ 35 – 4 + 25 ÷ 5 × 5 = 41
On solving the L.H.S. of the equation –
= 35 – 4 + 5 × 5
= 35 – 4 + 25
= 60 – 4
= 56 ≠ 41
Fourth option:
35 ÷ 4 – 25 × 5 + 5 = 56
⇒ 35 – 4 + 25 ÷ 5 × 5 = 61
On solving the L.H.S. of the equation –
= 35 – 4 + 5 × 5
= 35 – 4 + 25
= 60 – 4
= 56 = R.H.S.
So, only the fourth option satisfies the given conditions. Hence, the fourth option is correct.
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