Simplification - Aptitude MCQ Questions and Solutions with Explanations

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36.
Given that ( 1² + 2² + 3² + .......... + 10² ) = 385, then the value of ( 2² + 4² + 6² + .......... + 20² ) is equal to = ?

A. 770

B. 1155

C. 1540

D. (385)²

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37.
$$\frac{{\root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125} $$ is equal to = ?

A. 7

B. $$1\frac{3}{4}$$

C. $$\frac{7}{{1000}}$$

D. $$\frac{4}{7}$$

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38.
When $$\left( {\frac{1}{2} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}} \right)$$ is divided by $$\left( {\frac{2}{5} - \frac{5}{9} + \frac{3}{5} - \frac{7}{{18}}} \right){\text{,}}$$ then the result is = ?

A. $${\text{5}}\frac{1}{{10}}$$

B. $${\text{2}}\frac{1}{{18}}$$

C. $${\text{3}}\frac{1}{6}$$

D. $${\text{3}}\frac{3}{{10}}$$

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39.
$$\left\{ {\left( {\sqrt {72} - \sqrt {18} } \right) \div \sqrt {12} } \right\}$$ is equal to = ?

A. $$\sqrt 6 $$

B. $$\frac{{\sqrt 3 }}{2}$$

C. $$\frac{{\sqrt 2 }}{3}$$

D. $$\frac{{\sqrt 6 }}{2}$$

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40.
$$1\frac{3}{4} - 1\frac{1}{5} + 1\frac{5}{8} = ?$$

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