R. Gupta Solutions for Chapter: Fundamental Arithmetical Operation, Exercise 1: EXERCISE

The value of $( 0.\overline{63}+0.\overline{37} )=?$

If $\frac{1}{3.718}=.2689,$ then the value of $\frac{1}{.0003718}$ is:

If $\frac{5+2\sqrt{3}}{7+4\sqrt{3}}=a+b\sqrt{3}$, then find the value of $a$ and $b$.

If $\frac{a}{b}=\frac{4}{5} and \frac{b}{c}=\frac{15}{16} then \frac{c^2-a^2}{c^2+a^2}=?$

What value will come in place of the question mark (?) in the following question?

$\frac{50}{?}=\frac{?}{12{\displaystyle \frac{1}{2}}}$

What value will come in place of the question mark (?) in the following question?

$\left(20÷5\right)÷2+(16÷8)\times 2+(10÷5)\times (3÷2)=?$

In an examination, a student was asked to find $\left(\frac{3}{4}\right)$ of a certain number. By mistake, he found $\left(\frac{3}{14}\right)$ of it. His answer was $150$ more than the correct answer. The given number is:

If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is $18\frac{26}{27}$. The original fraction is: