Question : Directions: Which two signs should be interchanged to make the following equation correct?
18 – 60 ÷ 45 + 6 × 128 = 138
Option 1: + and ×
Option 2: + and ÷
Option 3: × and –
Option 4: – and =
Correct Answer: + and ×
Solution :
Given:
18 – 60 ÷ 45 + 6 × 128 = 138
Let's check each option –
First Option:
+ and ×
On interchanging the mathematical signs, we get –
18 – 60 ÷ 45 × 6 + 128 = 138
L.H.S. = 18 – 60 ÷ 45 × 6 + 128 = 18 – 8 + 128 = 138
L.H.S = R.H.S
Second Option:
+ and ÷
On interchanging the mathematical signs, we get –
18 – 60 + 45 ÷ 6 × 128 = 138
L.H.S. = 18 – 60 + 45 ÷ 6 × 128 = 18 – 60 + 960 = 918
L.H.S. ≠ R.H.S.
Third Option:
× and –
On interchanging the mathematical signs, we get –
18 × 60 ÷ 45 + 6 – 128 = 138
L.H.S. = 18 × 60 ÷ 45 + 6 – 128 = 24 + 6 – 128 = –98
L.H.S. ≠ R.H.S.
Fourth Option:
– and =
On interchanging the mathematical signs, we get –
18 = 60 ÷ 45 + 6 × 128 – 138
R.H.S. = 60 ÷ 45 + 6 × 128 – 138
= 1.33 + 6 × 128 – 138
= 1.33 + 768 – 138
= 631.33
L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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