Question : Directions: Which two signs should be interchanged to make the given equation correct?
81 * 9 + 15 ÷ 3 – 4 = 50
Option 1: + and ×
Option 2: ÷ and –
Option 3: + and ÷
Option 4: – and +
Correct Answer: ÷ and –
Solution :
Given:
15 × 18 – 6 ÷ 20 + 4 = 29
Replace the given signs in the options one by one with the original signs in the given equation.
First option:
+ and ×
= 15 + 18 – 6 ÷ 20 × 4
= 15 + 18 – 0.3 × 4
= 15 + 18 – 1.2
= 31.8 ≠ 29
Second option:
÷ and –
= 15 × 18 ÷ 6 – 20 + 4
= 15 × 3 – 20 + 4
= 45 – 20 + 4
= 29 = R.H.S.
Third option:
+ and ÷
= 15 × 18 – 6 + 20 ÷ 4
= 15 × 18 – 6 + 5
= 270 – 6 + 5
= 269 ≠ 29
Fourth option:
– and +
= 15 × 18 + 6 ÷ 20 – 4
= 15 × 18 + 0.3 – 4
= 270 + 0.3 – 4
= 270.3 – 4
= 266.3 ≠ 29
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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