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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