UPTET Paper 2 Math and Science Model Test 1

Concept:Simplify each cube root and square root individually. Then use the rule that dividing by a fraction is same as multiplying by its reciprocal.Explanation:Start by evaluating each root: $\sqrt[3]{8} = 2$, $\sqrt{16} = 4$, $\sqrt{\frac{100}{49}} = \frac{\sqrt{100}}{\sqrt{49}} = \frac{10}{7}$, and $\sqrt[3]{125} = 5$.Substitute these into the expression: $\frac{2}{4} \div \frac{10}{7} \times 5$.Now apply the reciprocal rule for division: $\frac{2}{4} \times \frac{7}{10} \times 5$.Multiply across numerators and denominators: $\frac{2 \times 7 \times 5}{4 \times 10} = \frac{70}{40}$.Simplify the fraction by dividing numerator and denominator by 10: $\frac{7}{4}$.Answer:B. $\frac{7}{4}$