AFCAT MATHEMATICS (DECIMAL & FRACTION) QUIZ-2

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Question 1:

If $2 \sqrt{y} = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}} + \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$

अगर $2 \sqrt{y} = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}} + \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$

\sqrt{15}

\sqrt{15}

Question 2:

Simplify the following :

$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} + \sqrt{35}$

निम्नलिखित को हल करें :

$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{7} + \sqrt{5}} + \sqrt{35}$

Question 3:

Which one of the following has a terminating decimal expansion?

\frac{1}{6}

\frac{1}{6}

\frac{17}{25}

\frac{17}{25}

\frac{10}{3}

\frac{10}{3}

\frac{1}{11}

\frac{1}{11}

Question 4:

3.0 × 0.3 × 0.03 × 0.003= ?

81 \times 10^{- 4}

81 \times 10^{- 4}

81 \times 10^{- 7}

81 \times 10^{- 7}

81 \times 10^{- 5}

81 \times 10^{- 5}

81 \times 10^{- 6}

81 \times 10^{- 6}

Question 5:

Select the most appropriate option to solve the equation

$1.02 \times 2.09 =$

समीकरण को हल करने को लिए सबसे उपयुक्त-विकल्प को चुने।

$1.02 \times 2.09 =$

2.1318

2.2318

2.1218

2.1138

Question 6:

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1 then the denominator becomes eight times the numerator. Find the fraction.

\frac{3}{8}

\frac{3}{8}

\frac{3}{7}

\frac{3}{7}

\frac{4}{8}

\frac{4}{8}

\frac{2}{7}

\frac{2}{7}

Question 7:

$6 \frac{1}{4} %$ expressed as a fraction is :

$6 \frac{1}{4} %$ को भिन्न के रूप में व्यक्त कीजिए।

\frac{1}{16}

\frac{1}{16}

\frac{25}{4}

\frac{25}{4}

\frac{4}{25}

\frac{4}{25}

\frac{1}{4}

\frac{1}{4}

Question 8:

If $a = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}$ and $b = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}$ then $\frac{a^{2}}{b} + \frac{b^{2}}{a}$

अगर $a = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}$ और $b = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}}$ फिर $\frac{a^{2}}{b} + \frac{b^{2}}{a}$

900

970

1030

930

Question 9:

Simplify: $4 \frac{4}{5} \div {2 \frac{1}{5} - \frac{1}{2} (1 \frac{1}{4} - \overset{―}{\frac{1}{4} - \frac{1}{5}})}$

सरल करें:

$4 \frac{4}{5} \div {2 \frac{1}{5} - \frac{1}{2} (1 \frac{1}{4} - \overset{―}{\frac{1}{4} - \frac{1}{5}})}$

Question 10:

Simplify:-

$\sqrt[4]{36} \div \sqrt[3]{6}$

सरल करें:-