Question : Directions: The following equation is incorrect. Which two signs should be interchanged to correct the equation?
15 × 18 – 6 ÷ 20 + 4 = 29
Option 1: + and ×
Option 2: ÷ and –
Option 3: + and ÷
Option 4: – and +
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Correct Answer: ÷ and –
Solution :
Given:
15 × 18 – 6
÷
20 + 4 = 29
Replace the signs given in the options one by one with those 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
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
Only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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