Multiply $1\frac{3}{5}$ and $\frac{1}{2}.$

Statement 1: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is less than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor less than $1$.
Statement 2: The product of $1\frac{3}{5}$ and $\frac{1}{2}$ is greater than $1\frac{3}{5}$ because $1\frac{3}{5}$ is being multiplied by a factor greater than $1$.

Q. Multiply $\frac{2}{5}$ and $6$.
Statement 1: The product of $\frac{2}{5}$ and $6$ is less than $6$ because $6$ is being multiplied by a fraction/number less than $1$.
Statement 2: The product of $\frac{2}{5}$ and $6$ is greater than $\frac{2}{5}$, because $\frac{2}{5}$ is being multiplied by a fraction/number greater than $1$.

Q. Analyze the given statements and answer the following question.
Statement 1: The product of $2\frac{3}{4}$ and $\frac{1}{5}$ is less than $2\frac{3}{4}$ because $2\frac{3}{4}$ is multiplied by a factor less than 1.
Statement 2: The product of $2\frac{3}{4}$ and $\frac{1}{5}$ is greater than $2\frac{3}{4}$ because $2\frac{3}{4}$ is multiplied by a factor less than 1.
Statement 3: The product of $\frac{1}{5}$ and $2\frac{3}{4}$ is greater than $\frac{1}{5}$ because $2\frac{3}{4}$ is multiplied by a factor greater than 1.
Which of the following options is correct?

Q. Divide the sum of $-\frac{13}{5}$ and $\frac{12}{7}$ by the product of $-\frac{13}{7}$ and $-\frac{1}{2}$.

Q. Match the entries of Column-I with Column-II.

Column - I	Column - II
(A) ${\int }_0^1\sqrt[4]{4x}(\sqrt{x}+1{)}^{3}dx$	(P) is greater than 4
(B) ${\int }_0^1{x}^{-\frac{1}{2}}{(1+x^{\frac{1}{3}})}^{-1}dx$	(Q) is less than 5
(C) ${\int }_0^1{x}^{-\frac{3}{4}}{(1+x^{\frac{1}{4}})}^{\frac{1}{3}}dx$	(R) is less than $\frac{3}{2}$
(D) ${\int }_{\frac{1}{\sqrt{2}}}^{\sqrt{3}}{x}^{-4}(1-x^2{)}^{-\frac{1}{2}}dx$	(S) is greater than $\frac{1}{2}$
	(T) is greater than 5

Q.

Question 7

The product of 3 and 4 $\frac{2}{5}$ is
(a) $17\frac{2}{5}$
(b) $\frac{24}{5}$
(c) $13\frac{1}{5}$
(d) $5\frac{1}{13}$