Question : Directions: By interchanging the given two numbers (Not digits) which of the following equations will be correct? 5 and 9 I. 7 × 9 + 5 – 8 ÷ 4 = 42 II. 9 × 3 + 5 ÷ 1 – 4 = 20
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only I
Option 4: Only II
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Correct Answer: Both I and II
Solution : Given: 7 × 9 + 5 – 8 ÷ 4 = 42 9 × 3 + 5 ÷ 1 – 4 = 20
Equation I: 7 × 9 + 5 – 8 ÷ 4 = 42 After interchanging 5 and 9, the equation becomes – ⇒ 7 × 5 + 9 – 8 ÷ 4 = 42 Solving the L.H.S. of the equation – ⇒ 7 × 5 + 9 – 2 ⇒ 35 + 9 – 2 ⇒ 44 – 2 ⇒ 42 = R.H.S. Equation II: 9 × 3 + 5 ÷ 1 – 4 = 20 After interchanging 5 and 9, the equation becomes – ⇒ 5 × 3 + 9 ÷ 1 – 4 = 20 Solving the L.H.S. of the equation – ⇒ 5 × 3 + 9 – 4 ⇒ 15 + 9 – 4 ⇒ 24 – 4 ⇒ 20 = R.H.S.
So, both the equations satisfy the R.H.S. of the given equations. Hence, the second option is correct.
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Question : Directions: By Interchanging the given two numbers (not digits) which of the following equations will not be correct? 7 and 4 I. 4 × 3 – 7 + 8 ÷ 2 = 23 II. 7 × 5 – 9 ÷ 3 + 4 = 24
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