Question : Directions: Which two signs should be interchanged to make the given equation correct?
13 + 145 ÷ 29 × 52 – 11 = 106
Option 1: – and ×
Option 2: × and +
Option 3: ÷ and –
Option 4: ÷ and +
Correct Answer: × and +
Solution :
Given:
13 + 145 ÷ 29 × 52 – 11 = 106
Let's check the options –
First option:
– and ×
13 + 145 ÷ 29 – 52 × 11 = 106
On solving the L.H.S. of the given equation –
= 13 + 145 ÷ 29 – 52 × 11
= 13 + 5 – 52 × 11
= 13 + 5 – 572
= –554 ≠ 106
Second option:
× and +
13 × 145 ÷ 29 + 52 – 11 = 106
On solving the L.H.S. of the given equation –
= 13 × 145 ÷ 29 + 52 – 11
= 13 × 5 + 52 – 11
= 65 + 52 – 11
= 106
Third option:
÷ and –
13 + 145 – 29 × 52 ÷ 11 = 106
On solving the L.H.S. of the given equation –
= 13 + 145 – 29 × 52 ÷ 11
= 13 + 145 – 29 × 4.73
= 13 + 145 – 137.17
= 20.83 ≠ 106
Fourth option:
÷ and +
13 ÷ 145 + 29 × 52 – 11 = 106
On solving the L.H.S. of the given equation –
= 13 ÷ 145 + 29 × 52 – 11
= 0.09 + 29 × 52 – 11
= 0.09 + 1508 – 11
= 1497.09 ≠ 106
So, only the second option satisfies the given equation. Hence, the second option is correct.
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