Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 7 and 8 I. 5 × 7 + 6 ÷ 2 – 8 = 36 II. 8 + 3 × 7– 5 ÷ 1 = 26
Option 1: Neither I nor II
Option 2: Only II
Option 3: Both I and II
Option 4: Only I
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Correct Answer: Both I and II
Solution : Given: I. 5 × 7 + 6 ÷ 2 – 8 = 36 II. 8 + 3 × 7 – 5 ÷ 1 = 26
After interchanging numbers 7 and 8, the equations are as follows – I. 5 × 7 + 6 ÷ 2 – 8 = 36 After interchanging, 5 × 8 + 6 ÷ 2 – 7 = 36 ⇒ 5 × 8 + 3 – 7 = 36 ⇒ 40 + 3 – 7 = 36 ⇒ 36 = 36 II. 8 + 3 × 7– 5 ÷ 1= 26 After interchanging, 7 + 3 × 8 – 5 ÷ 1= 26 ⇒ 7 + 3 × 8 – 5 = 26 ⇒ 7 + 24 – 5 = 26 ⇒ 26 = 26
So, both I and II satisfy the given equation. Hence, the third option is correct.
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Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 4 I. 4 + 8 × 5 – 7 ÷ 1 = 30 II. 5 × 3 – 4 + 6 ÷ 2 = 11
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Question : Directions: After interchanging the given two numbers what will be the values of equations (I) and (II) respectively? 7 and 8 I. 5 × 7 + 6 ÷ 2 – 8 II. 8 + 3 × 7 – 5 ÷ 1
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