Question : Directions: Which two numbers should be interchanged to make the given equation correct?
11 × 2 + 15 ÷ 13 – 3 = 14
Option 1: 14 and 15
Option 2: 3 and 2
Option 3: 13 and 3
Option 4: 11 and 15
Correct Answer: 13 and 3
Solution :
Given:
11 × 2 + 15 ÷ 13 – 3 = 14
Let's check the given options –
First Option:
14 and 15
⇒ 11 × 2 + 14 ÷ 13 – 3 = 15
Solving the L.H.S. of the equation –
= 11 × 2 + 1.07 – 3
= 22 + 1.07 – 3
= 20.07 ≠ 15
Second option:
3 and 2
⇒ 11 × 3 + 15 ÷ 13 – 2 = 14
Solving the L.H.S. of the equation –
= 11 × 3 + 1.15 – 2
= 33 + 1.15 – 2
= 32.15 ≠ 14
Third option:
13 and 3
⇒ 11 × 2 + 15 ÷ 3 – 13 = 14
Solving the L.H.S. of the equation –
= 11 × 2 + 5 – 13
= 22 + 5 – 13
= 14 = R.H.S.
Fourth option:
11 and 15
⇒ 15 × 2 + 11 ÷ 13 – 3 = 14
Solving the L.H.S. of the equation –
= 15 × 2 + 0.84 – 3
= 30 + 0.84 – 3
= 27.84 ≠ 14
So, only the third option satisfies the given equation. Hence, the third option is correct.
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