If \(\dfrac{4}{3}\) of the difference of \(2\dfrac{1}{4}\) and \(1\dfrac{2}{3}\) is added to \(\dfrac{1}{2}\) of the difference of \(2\dfrac{1}{3}\) and \(1\dfrac{2}{7}\), then result is:
The first difference is \(2\frac{1}{4} - 1\frac{2}{3} = \frac{7}{12}\), and \(\frac{4}{3}\) of it is \(\frac{7}{9}\). The second difference is \(2\frac{1}{3} - 1\frac{2}{7} = \frac{22}{21}\), and \(\frac{1}{2}\) of it is \(\frac{11}{21}\). Adding \(\frac{7}{9} + \frac{11}{21} = \frac{49}{63} + \frac{33}{63} = \frac{82}{63}\), matching option (A).
\(\dfrac{1.2 \times 10^3}{2.4 \times 10^{-4}}\) is written in the standard form as:
\(\left(\frac{-1}{5}\right)^{-4}\times\left(\frac{-1}{25}\right)^{-2}\times\left(\frac{-1}{2}\right)^{-6}\times\left(\frac{-1}{4}\right)^{-3}\) as a power of product of rational numbers with positive exponent.
Square root of \(\frac{0.081}{0.0064}\times\frac{0.484}{6.25}\times\frac{2.5}{12.1}\) is:
What should come in place of the question mark in the following number series?
\(8^2+16^2-19^2=?^3-257\)
The value of \(2\frac{3}{5}\div\left[2\frac{1}{3}\div\left\{4\frac{1}{3}-\left(2\frac{1}{2}+\frac{2}{3}\right)\right\}\right]\) is equal to:
Consider the following statements :
1. (25)! + 1 is divisible by 26
2. (6)! + 1 is divisible by 7
Which of the above statements is/are correct ?
If the sum S is divided by 8, what is the remainder ?
If the sum S is divided by 60, what is the remainder ?
Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible by 3.
How many composite numbers are there from 53 to 97 ?