Question : Directions: After interchanging two signs and two numbers, the value of the given equation will be 6.
7 – 2 × 1 ÷ 3 + 5
Option 1: × and ÷,7 and 5
Option 2: × and ÷, 2 and 7
Option 3: + and –, 7 and 5
Option 4: × and –, 5 and 3
Correct Answer: × and ÷,7 and 5
Solution :
Given:
7 – 2 × 1 ÷ 3 + 5 = 6
Replace the given symbols and numbers according to the options one by one with the original symbols and numbers in the given equation.
First option:
× and ÷, 7 and 5
Solving the L.H.S. of the equation –
= 5 – 2 ÷ 1 × 3 + 7
= 5 – 6 + 7
= 6 = R.H.S.
Second option:
× and ÷, 2 and 7
Solving the L.H.S. of the equation –
= 2 – 7 ÷ 1 × 3 + 5
= 2 – 21 + 5
= –14 ≠ 6
Third option:
+ and –, 7 and 5
Solving the L.H.S. of the equation –
= 5 + 2 × 1 ÷ 3 – 7
= 5 + 2 × 0.33 – 7
= 5 + 0.66 – 7
= –1.34 ≠ 6
Fourth option:
× and –, 5 and 3
Solving the L.H.S. of the equation –
= 7 × 2 – 1 ÷ 5 + 3
= 14 – 0.2 + 3
= 16.8 ≠ 6
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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