Question : Directions: If B denotes multiplication, C denotes subtraction, A denotes addition and D denotes division, which of the following equations is true?
Option 1: 24 D 12 B 3 A 12 = 18
Option 2: 36 D 6 B 3 A 2 = 74
Option 3: 42 A 7 B 2 D 2 = 35
Option 4: 56 D 14 B 2 C 4 = 12
Correct Answer: 24 D 12 B 3 A 12 = 18
Solution : Let's check the options – First option: 24 D 12 B 3 A 12 = 18 ⇒ 24 ÷ 12 × 3 + 12 = 18 Solving the L.H.S. of the equation – = 24 ÷ 12 × 3 + 12 = 2 × 3 + 12 = 6 + 12 = 18 = 18 Second option: 36 D 6 B 3 A 2 = 74 ⇒ 36 ÷ 6 × 3 + 2 = 74 Solving the L.H.S. of the equation – = 36 ÷ 6 × 3 + 2 = 6 × 3 + 2 = 18 + 2 = 20 ≠ 74 Third option: 42 A 7 B 2 D 2 = 35 ⇒ 42 + 7 × 2 ÷ 2 = 35 Solving the L.H.S. of the equation – = 42 + 7 × 2 ÷ 2 = 42 + 7 × 1 = 42 + 7 = 49 ≠ 35 Fourth option: 56 D 14 B 2 C 4 = 12 ⇒ 56 ÷ 14 × 2 – 4 = 12 Solving the L.H.S. of the equation – = 56 ÷ 14 × 2 – 4 = 4 × 2 – 4 = 8 – 4 = 4 ≠ 12
Only the first option satisfies the equation. Hence, the first option is correct.
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