Question : Directions: By interchanging the given two signs which of the following equations will be correct?
+ and ×
Option 1: 7 + 5 × 2 – 8 ÷ 4 = 36
Option 2: 95 ÷ 19 + 5 × 3 – 6 = 22
Option 3: 13 + 4 × 5 – 6 ÷ 2 = 51
Option 4: 4 × 3 + 6 – 7 ÷ 1 = 18
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Correct Answer: 95 ÷ 19 + 5 × 3 – 6 = 22
Solution :
Let's check the options –
First option:
7 + 5 × 2 – 8 ÷ 4 = 36
On interchanging the given signs, the equation becomes –
⇒ 7 × 5 + 2 – 8 ÷ 4 = 36
Solving the L.H.S. of the equation –
= 7 × 5 + 2 – 2
= 35 + 2 – 2
= 35 ≠ 36
Second option:
95 ÷ 19 + 5 × 3 – 6 = 22
On interchanging the given signs, the equation becomes –
⇒ 95 ÷ 19 × 5 + 3 – 6 = 22
Solving the L.H.S. of the equation –
= 5 × 5 + 3 – 6
= 25 + 3 – 6
= 22
Third option:
13 + 4 × 5 – 6 ÷ 2 = 51
On interchanging the given signs, the equation becomes –
⇒ 13 × 4 + 5 – 6 ÷ 2 = 51
Solving the L.H.S. of the equation –
= 13 × 4 + 5 – 3
= 52 + 5 – 3
= 54 ≠ 51
Fourth option:
4 × 3 + 6 – 7 ÷ 1 = 18
On interchanging the given signs, the equation becomes –
⇒ 4 + 3 × 6 – 7 ÷ 1 = 18
Solving the L.H.S. of the equation –
= 4 + 3 × 6 – 7
= 4 + 18 – 7
= 15 ≠ 18
So, only the equation in the second option satisfies the R.H.S. of the given equation. Hence the second option is correct.
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