Question : Directions: Which two signs should be interchanged to make the given equation correct?
9 × 4 + 6 ÷ 3 – 5 = 39
Option 1: ÷ and –
Option 2: × and +
Option 3: – and +
Option 4: – and =
Correct Answer: – and +
Solution :
Given:
9 × 4 + 6 ÷ 3 – 5 = 39
On interchanging the symbols as given in the options, we get –
First option:
÷ and –
9 × 4 + 6 – 3 ÷ 5 = 39
Solving the L.H.S. of the equation –
= 9 × 4 + 6 – 0.6
= 36 + 6 – 0.6
= 41.4 ≠ 39
Second option:
× and +
9 + 4 × 6 ÷ 3 – 5 = 39
Solving the L.H.S. of the equation –
= 9 + 4 × 2 – 5
= 9 + 8 – 5
= 12 ≠ 39
Third option:
– and +
9 × 4 – 6 ÷ 3 + 5 = 39
Solving the L.H.S. of the equation –
= 9 × 4 – 2 + 5
= 36 – 2 + 5
= 39 = R.H.S.
Fourth option:
– and =
9 × 4 + 6 ÷ 3 = 5 – 39
Solving the L.H.S. of the equation –
= 9 × 4 + 6 ÷ 3
= 9 × 4 + 2
= 36 + 2
= 38
R.H.S. = 5 – 39 = –34
38 ≠ –34
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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