AFCAT MATHEMATICS (DECIMAL & FRACTION) QUIZ-2

Question 1:

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

6

30

$\sqrt{15}$

16

Question 2:

Simplify the following :

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

8

6

4

12

Question 3:

Which one of the following has a terminating decimal expansion?

$\frac{1}{6}$

$\frac{17}{25}$

$\frac{10}{3}$

$\frac{1}{11}$

Question 4:

3.0 × 0.3 × 0.03 × 0.003= ?

$81 \times 10^{-4}$

$81 \times 10^{-7}$

$81 \times 10^{-5}$

$81 \times 10^{-6}$

Question 5:

Select the most appropriate option to solve the equation

$1.02× 2.09 =$

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.

$\frac{3}{8}$

$\frac{3}{7}$

$\frac{4}{8}$

$\frac{2}{7}$

Question 7:

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

$\frac{1}{16}$

$\frac{25}{4}$

$\frac{4}{25}$

$\frac{1}{4}$

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 $\frac{a^{2}}{b}+\frac{b^{2}}{a}$

900

970

1030

930

Question 9:

Simplify: $4 \frac{4}{5} \div\left\{2 \frac{1}{5}-\frac{1}{2}\left(1 \frac{1}{4}-\overline{\frac{1}{4}-\frac{1}{5}}\right)\right\}$

4

3

6

5

Question 10:

Simplify:-

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

$\sqrt[6]{5}$

$\sqrt[6]{8}$

$\sqrt[5]{6}$

$\sqrt[6]{6}$