Logic

# Multiplication and division only - Operator Search

What series of signs in the three blanks will make the following equation hold true?

$3 \; \square \; 4 \; \square \; 5 \; \square \; 6 = 10$

What series of signs and parentheses on the left side will make the following equality hold true?

$120\; \square \; 2 \; \square \; 3 \; \square \; 4 = 5$

$8 \; \square \; 4 \; \square \; 2 \; \square \; 1$

If we fill in the above blanks using only the operators $$\times$$ and/or $$\div$$, is it true that the resultant number is always an integer?

$2 \; \square \; 2 \; \square \; 2 \; \square \; 2$

If we fill in the above blanks using only the operators $$\times$$ and/or $$\div$$, which of the following $$\color{red} { \text{cannot} }$$ be a resultant number?

What series of signs in the three blanks will $$\color{red} { \text{not} }$$ make the following equation true?

$7 \; \square \; 7 \; \square \; 7\; \square \; 7 = 49$

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