Question : Directions: Which two numbers should be interchanged to make the given equation correct?
13 + 4 ÷ 16 × 5 – 22 = 11
Option 1: 13 and 22
Option 2: 16 and 22
Option 3: 13 and 16
Option 4: 4 and 16
Correct Answer: 4 and 16
Solution :
Given:
13 + 4 ÷ 16 × 5 – 22 = 11
Let's check the options –
First option:
13 and 22
On interchanging the numbers, we get –
= 22 + 4 ÷ 16 × 5 – 13
= 22 + 1.25 – 13
= 10.25 ≠ 11
Second option:
16 and 22
On interchanging the numbers, we get –
= 13 + 4 ÷ 22 × 5 – 16
= 13 + 0.91 – 16
= –2.09 ≠ 11
Third option:
13 and 16
On interchanging the numbers, we get –
= 16 + 4 ÷ 13 × 5 – 22
= 16 + 1.54 – 22
= –4.46 ≠ 11
Fourth option:
4 and 16
On interchanging the numbers, we get –
= 13 + 16 ÷ 4 × 5 – 22
= 13 + 20 – 22
= 11
Here, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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