Question : Directions: Select the correct combination of mathematical signs to sequentially replace the @ signs and balance the given equation. 72 @ 9 @ 3 @ 6 @ 6 @ 6 @ 6
Option 1: ÷, ×, +, =, –, +
Option 2: ÷, ×, +, =, ×, –
Option 3: ×, ÷, =, –, +, ×
Option 4: +, ×, =, –, ÷, +
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Correct Answer: ÷, ×, +, =, ×, –
Solution : Given: 72 @ 9 @ 3 @ 6 @ 6 @ 6 @ 6
Replace the @ signs with the assigned mathematical signs in the options one by one – First option: ÷, ×, +, =, –, + 72 ÷ 9 × 3 + 6 = 6 – 6 + 6 L.H.S.→ 72 ÷ 9 × 3 + 6 = 8 × 3 + 6 = 24 + 6 = 30 R.H.S.→ 6 – 6 + 6 = 6 – 12 = –6 L.H.S. ≠ R.H.S. Second option: ÷, ×, +, =, ×, – 72 ÷ 9 × 3 + 6 = 6 × 6 – 6 L.H.S. →72 ÷ 9 × 3 + 6 = 8 × 3 + 6 = 24 + 6 = 30 R.H.S.→ 6 × 6 – 6 = 36 – 6 = 30 L.H.S. = R.H.S. Third option: ×, ÷, =, –, +, × 72 ÷ 9 × 3 = 6 – 6 + 6 × 6 L.H.S. →72 ÷ 9 × 3 = 8 × 3 = 24 R.H.S.→ 6 – 6 + 6 × 6 = 6 – 6 + 36 = 42 – 6 = 36 L.H.S. ≠ R.H.S. Fourth option: +, ×, =, –, ÷, + 72 + 9 × 3 = 6 – 6 ÷ 6 + 6 L.H.S. →72 + 9 × 3 = 72 + 27 = 99 R.H.S. →6 – 6 ÷ 6 + 6 = 6 – 1 + 6 = 12 – 1 = 11 L.H.S. ≠ R.H.S.
So, only the second option satisfies the equation. Hence, the second option is correct.
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