Question

By interchanging the given two signs which of the following equation will not be correct? + and ÷

I. 27 ÷ 3 - 18 × 3 + 9 = 24

II. 12 ÷ 8 × 12 + 16 - 7 = 19

• A. Both I and II
• B. Only I
• C. Neither I nor II
• D. Only II

Answer 1

Answer:

D. Only II

Solution: BODMAS Table: Given equation I: 27 ÷ 3 - 18 × 3 + 9 = 24. Now, if '+ and ÷' are interchanged, then: ⇒ 27 + 3 - 18 × 3 ÷ 9 = 24 ⇒ 27 + 3 - 6 = 24 ⇒ 30 - 6 = 24 = 24 = 24. LHS = RHS. Given equation II: 12 ÷ 8 × 12 + 16 - 7 = 19. Now, if '+ and ÷' are interchanged, then: ⇒ 12 + 8 × 12 ÷ 16 - 7 = 19 ⇒ 12 + 6 - 7 = 19 ⇒ 18 - 7 = 19 = 11 ≠ 19 LHS ≠ RHS. Here, Equation II are the incorrect after interchanging the given symbol. Hence, the correct answer is "Option D".