Question : Directions: Which two signs should be interchanged to make the given equation correct?
729 × 9 – (56 – 6) × 5 ÷ 2 + 152 × 19 = 69
Option 1: × and +
Option 2: × and ÷
Option 3: ÷ and –
Option 4: + and –
Correct Answer: × and ÷
Solution :
Given:
729 × 9 – (56 – 6) × 5 ÷ 2 + 152 × 19 = 69
Replace the given symbols according to the options one by one with the original symbols in the given equation.
First option:
× and +
= 729 + 9 – (56 – 6) + 5 ÷ 2 × 152 + 19
= 738 – 50 + 380 + 19
= 1087 ≠ 69
Second option:
× and ÷
= 729 ÷ 9 – (56 – 6) ÷ 5 × 2 + 152 ÷ 19
= 81 – 50 ÷ 5 × 2 + 8
= 81 – 20 + 8
= 69
Third option:
÷ and –
= 729 × 9 ÷ (56 ÷ 6) × 5 – 2 + 152 × 19
= 6561 ÷ (9.34) × 5 – 2 + 2888
= 702.46 × 5 ÷ 2 + 2888
= 4644.15 ≠ 69
Fourth option:
+ and –
= 729 × 9 + (56 + 6) × 5 ÷ 2 – 152 × 19
= 6561 + 62 × 5 ÷ 2 – 2888
= 6561 + 155 – 2888
= 3828 ≠ 69
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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