Mathematics Tes...

If $\overrightarrow{a}=6\hat{i}+4\hat{j}+4\hat{k}$ and $\overrightarrow{b}=2\hat{i}+4\hat{j}+3\hat{k}$, then the value of $\overrightarrow{b}\times \overrightarrow{a}$ is:

A problem is given to three persons and their chances of solving it are $\frac{1}{3},\frac{1}{4},\frac{1}{5}$ respectively. This probability that none will solve it is:

The area of the region bounded by the lines $y=|x-1|$ and $y=3-|x|$ is:

What is the modulus of $\frac{1+7i}{(2-i{)}^2}$ ?

Find the value of $A$, if $\sqrt{3}-3\sqrt{3}{\tan }^{2}A=3\tan A-{\tan }^{3}A$.

The scores of $15$ students in an examination were recorded as $10,5,8,16,18,20,8,10,16,20,18$, $11,16,14$ and $12$. After calculating the mean, median and mode, an error is found. One of the values is wrongly written as $16$ instead of $18$. Which of the following measures of central tendency will change?

The mean and variance of a binomial distribution are $8$ and $4$ respectively, then $p(x=1)$ is equal to?

Evaluate $\int \frac{3ax}{b^2+c^2{x}^2}dx$.

$\overrightarrow{a}=2\hat{i}+\hat{j}+3\hat{k}$ and $\hat{b}=3\hat{i}-2\hat{j}+\hat{k}$ are two vectors. The angle between them is: