Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
10 × 11 + 19 – 323 ÷ 3 = 50
Option 1: 10 and 19, – and +
Option 2: 3 and 19, – and x
Option 3: 10 and 11, – and ÷
Option 4: 10 and 323, + and ÷
Correct Answer: 3 and 19, – and x
Solution :
Given:
10 × 11 + 19 – 323 ÷ 3 = 50
Replacing the given numbers and signs in the options one by one in the given equation.
First option:
10 and 19, – and +
19 × 11 – 10 + 323 ÷ 3
= 19 x 11 – 10 + 107.66
= 209 – 10 + 107.66
= 209 + 97.66
= 306.66 ≠ 50
Second option:
3 and 19, – and x
10 – 11 + 3 x 323 ÷ 19
= 10 – 11 + 3 x 17
= 10 – 11 + 51
= 10 + 40
= 50 = R.H.S.
Third option:
10 and 11, – and ÷
11 × 10 + 19 ÷ 323 – 3
= 11 × 10 + 0.05 – 3
= 110 + 0.05 – 3
= 110 – 2.95
= 107.50 ≠ 50
Fourth option:
10 and 323, + and ÷
323 × 11 ÷ 19 – 10 + 3
= 323 × 0.58 – 10 + 3
= 187.34 – 10 + 3
= 187.34 – 7
= 180.34 ≠ 50
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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