(9 ? 6 ? 36 ? 9) ? 10 = 5.

+ \div + -

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\div + \div +

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- + - \times

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\times - \div \div

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Solution

The correct option is D $\times - \div \div$
The given equation is: (9 ? 6 ? 36 ? 9) ? 10 = 5
If the '?' are changed as given in (1), the new equation is:
$(9 + 6 \div 36 + 9) - 10 = 5$
LHS: $(9 + 6 \div 36 + 9) - 10 = 8 + \frac{1}{6}$
Hence, $L H S \neq R H S$
If the '?' are changed as given in (2), the new equation is:
$(9 \div 6 + 36 \div 9) + 10 = 5$
LHS: $(9 \div 6 + 36 \div 9) + 10 = 16 + \frac{3}{4}$
Hence, $L H S \neq R H S$
If the '?' are changed as given in (3), the new equation is:
$(9 - 6 + 36 - 9) \times 10 = 5$
LHS: $(9 - 6 + 36 - 9) \times 10 = 30 \times 10 = 300$
Hence, $L H S \neq R H S$
If the '?' are changed as given in (4), the new equation is:
$(9 \times 6 - 36 \div 9) \div 10 = 5$
LHS: $(54 - 4) \div 10 = 50 \div 10 = 5$
Hence, $L H S = R H S$

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