Question : Directions: After interchanging which two signs, the value of the given equation will be 1?
3 ÷ 1 + 6 × 2 – 5
Option 1: + and –
Option 2: ÷ and +
Option 3: × and –
Option 4: ÷ and ×
Correct Answer: ÷ and ×
Solution :
Given:
3 ÷ 1 + 6 × 2 – 5
Interchange the signs according to the given options.
First option:
+ and –
Solving the L.H.S. of the equation –
3 ÷ 1 – 6 × 2 + 5
= 3 – 12 + 5
= –4
≠ 1
Second option:
÷ and +
Solving the L.H.S. of the equation –
3 + 1 ÷ 6 × 2 – 5
= 3 + 0.334 – 5
= –1.666
≠ 1
Third option:
x and –
Solving the L.H.S. of the equation –
3 ÷ 1 + 6 – 2
x
5
= 3 + 6 – 10
= –1
≠ 1
Fourth option:
÷ and x
Solving the L.H.S. of the equation –
= 3
x
1 + 6 ÷ 2 – 5
= 3
x
1 + 3 – 5
= 6 – 5
⇒ 1 = 1
So, after interchanging ÷ and x, the equation equals 1. Hence, the
fourth option
is correct.
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