Question : Directions: Which two signs should be interchanged to make the given equation correct?
13 × 6 + 24 ÷ 6 – 17 = 91
Option 1: ÷ and +
Option 2: + and ×
Option 3: ÷ and ×
Option 4: + and –
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Correct Answer: + and –
Solution :
Given:
13 × 6 + 24 ÷ 6 – 17 = 91
Let's check the options –
First option:
÷ and +
⇒ 13 × 6 ÷ 24 + 6 – 17 = 91
= 13 × 6 ÷ 24 + 6 – 17
= 13 × 0.25 – 11
= – 7.75 ≠ 91
Second option:
+ and ×
⇒ 13 × 6 + 24 ÷ 6 – 17 = 91
= 13 + 6 × 24 ÷ 6 – 17
= 13 + 24 – 17
= 20 ≠ 91
Third option:
÷ and ×
⇒ 13 × 6 + 24 ÷ 6 – 17 = 91
= 13 ÷ 6 + 24 × 6 – 17
= 2.17 + 144 – 17
= 129.17 ≠ 91
Fourth option:
+ and –
⇒ 13 × 6 + 24 ÷ 6 – 17 = 91
= 13 × 6 – 24 ÷ 6 + 17
= 78 – 4 + 17
= 91
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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