Question : Direction: Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
8 * 6 * 96 * 2 = 0
Option 1: ×, ÷, –
Option 2: ×, –, ÷
Option 3: –, ×, ÷
Option 4: ÷, –, ×
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Correct Answer: ×, –, ÷
Solution :
Given:
8 * 6 * 96 * 2 = 0
Let's check the options –
First option:
×, ÷, –
On replacing → 8 × 6 ÷ 96 – 2 = 0
⇒ 8 × 6 ÷ 96 – 2 = 0
⇒ 8 × 0.0625 – 2 = 0
⇒ 0.5 – 2 = 0
⇒ –1.5 ≠ 0
Second option:
×, –, ÷
On replacing → 8 × 6 – 96 ÷ 2 = 0
⇒ 8 × 6 – 96 ÷ 2 = 0
⇒ 8 × 6 – 48 = 0
⇒ 48 – 48 = 0
⇒ 0 = 0
Third option:
–, ×, ÷
On replacing → 8 – 6 × 96 ÷ 2 = 0
⇒ 8 – 6 × 96 ÷ 2 = 0
⇒ 8 – 6 × 48 = 0
⇒ 8 – 288 = 0
⇒ –280 ≠ 0
Fourth option:
÷, –, ×
On replacing → 8 ÷ 6 – 96 × 2 = 0
⇒ 8 ÷ 6 – 96 × 2 = 0
⇒ 1.33 – 96 × 2 = 0
⇒ 1.33 – 192 = 0
⇒ –190.67 ≠ 0
Hence, the second option is correct.
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