List of top Mathematics Questions asked in BITSAT

If $ p \neq a $, $ q \neq b $, $ r \neq c $, and the system of equations \[ px + ay + az = 0 \] \[ bx + qy + bz = 0 \] \[ cx + cy + rz = 0 \] has a non-trivial solution, then the value of \[ \frac{p}{p - a} + \frac{q}{q - b} + \frac{r}{r - c} \] is:

The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6, then the other two are:

Let $a, b$ be the solutions of $x^2 + px + 1 = 0$ and $c, d$ be the solution of $x^2 + qx + 1 = 0$. If $(a - c)(b - c)$ and $(a + d)(b + d)$ are the solution of $x^2 + ax + \beta = 0$, then $\beta$ is equal to:

If $ A = \{ x : x { is a multiple of 4} \} $ and $ B = \{ x : x { is a multiple of 6} \} $, then $ A \cap B $ consists of multiples of:

The smallest positive integral value of $ n $ such that \[ \left( \frac{1 + \sin \frac{\pi}{8} + i \cos \frac{\pi}{8}}{1 + \sin \frac{\pi}{8} - i \cos \frac{\pi}{8}} \right)^n \] is purely imaginary, is equal to:

If $\hat{u}$ and $\hat{v}$ are two non-collinear unit vectors such that $\left| \frac{\hat{u} + \hat{v}}{2} + \hat{u} \times \hat{v} \right| = 1$, then the value of $\left| \hat{u} \times \hat{v} \right|$ is equal to:

A six-faced die is a biased one. It is three times more likely to show an odd number than an even number. It is thrown twice. The probability that the sum of the numbers in two throws is even is:

The area enclosed by the curves $ y = \sin x + \cos x $ { and } $ y = | \cos x - \sin x | $ { over the interval} $ \left[ 0, \frac{\pi}{2} \right] $ { is:}

With the usual notation $\displaystyle \int_1^2 ([x^2]-[x]^2)dx$ is equal to

The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3}x^{1/2}+x^{-1/4}\right)^{10}$ is :

What is the slope of the normal at the point (at, 2at) of the parabola y = 4ax ?

If $a_{1}, a_{2}, a_{3}, \ldots, a_{n}$ are in A.P. where $a_{i}>0$ for all $i$, then $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\ldots .+$ $\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_{n}}}$ is?

A bag contains $2n$ coins out of which $n-1$ are unfair with heads on both sides and the remaining are fair. One coin is picked from the bag at random and tossed. If the probability that head falls in the toss is $\frac{41}{56}$, then the number of unfair coins in the bag is

The locus of the mid-point of a chord of the circle $x^2+ y^2 = 4$, which subtends a right angle at the origin is

If $f(x)=3 x^{4}+4 x^{3}-12 x^{2}+12,$ then f(x) is

Consider $\frac{x}{2}+\frac{y}{4} \ge1,$ and $\frac{x}{3}+\frac{y}{4} \le1, x, y \ge0.$ Then number of possible solutions are :

Equation of two straight lines are $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=z$ .Then