Question : Directions: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
Correct Answer: 8 A 8 B 8 C 8 = – 48
Solution :
Let's check the options –
First option:
8 B 6 D 2 A 4 C 3 = 15
On replacing the letters with mathematical signs, we get –
8 – 6 ÷ 2 + 4 × 3 = 15
On solving the L.H.S. of the equation, we get –
= 8 – 6 ÷ 2 + 4 × 3
= 8 – 3 + 4 × 3
= 8 – 3 + 12
= 17 ≠ 15
Second option:
8 A 8 B 8 C 8 = – 48
On replacing the letters with mathematical signs, we get –
8 + 8 – 8 × 8 = – 48
On solving the L.H.S. of the equation, we get –
= 8 + 8 – 8 × 8
= 8 + 8 – 64
= – 48
Third option:
9 C 9 B 9 D 9 A 9 = 17
On replacing the letters with mathematical signs, we get –
9 × 9 – 9 ÷ 9 + 9 = 17
On solving the L.H.S. of the equation, we get –
= 9 × 9 – 9 ÷ 9 + 9
= 9 × 9 – 1 + 9
= 81 – 1 + 9
= 89 ≠ 17
Fourth option:
3 A 3 B 3 C 3 A 3 D 3 = 4
On replacing the letters with mathematical signs, we get –
3 + 3 – 3 × 3 + 3 ÷ 3 = 4
On solving the L.H.S. of the equation, we get –
= 3 + 3 – 3 × 3 + 3 ÷ 3
= 3 + 3 – 3 × 3 + 1
= 3 + 3 – 9 + 1
= – 2 ≠ 4
Hence, the second option is correct.
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