If $\frac{2}{3}$,$\frac{23}{30}$,$\frac{9}{10}$,$\frac{11}{15}$ and $\frac{4}{5}$ are written in ascending order, then the fraction in the middlemost will be

• $\frac{23}{30}$

• $\frac{4}{5}$

• $\frac{2}{3}$

• $\frac{11}{15}$

Numbers $\frac{-11}{20}$,$\frac{7}{-15}$,$\frac{17}{30}$and$\frac{-3}{10}$are written in descending order as 

• $\frac{17}{-30}$>$\frac{-11}{20}$>$\frac{-3}{10}$>$\frac{7}{-15}$

• $\frac{-3}{10}$>$\frac{7}{-15}$>$\frac{-11}{20}$>$\frac{17}{-30}$

• $\frac{-3}{10}$>$\frac{-11}{20}$>$\frac{7}{-15}$>$\frac{17}{-30}$

• $\frac{-11}{20}$>$\frac{17}{-30}$>$\frac{-3}{10}$>$\frac{7}{-15}$

What should be subtracted from $\frac{-5}{7}$to get -1?

• $\frac{-2}{7}$

• $\frac{4}{7}$

• $\frac{2}{7}$

• $\frac{-4}{7}$

If a= $\sqrt{{\left(2013\right)}^2+2013+2014}$, then the value of a is 

• 1002

• 1007

• 2013

• 2014

If a, b and c are different integers such that a < b < c < 0, then which of the following statements is true?

• a + c < b

• ab < c

• a + b > c

• ac > ab

46.

In standard form, the number 829030000 is expressed as k x 10ⁿ. The value of k + n is

• 90.903

• 16.2903

• 15.2903

• 91.903

LCM of two prime numbers x and y, ( x > y), is 161. The value of 3y-x is

• 2

• -2

• -5

• 62

The value of $\sqrt[3]{500}\times \sqrt[3]{16}$ is 

• 16

• 20

• 25

• 18

If x is an integer, then (x+1)⁴-(x-1)⁴ is always divisible by

• 6

• 8

• 9

• 12

A has 20% more money than B and C has 20% less money than B. What percent more money does A have than C?

• 30

• 50

• 17

• 43