List of top Questions asked in BITSAT- 2014

$i^{57} + \frac{1}{i^{25}}$, when simplified has the value
Which one of the following pairs is isostructural (i.e., having the same shape and hybridization)?
If $P_1$ and $P_2$ be the length of perpendiculars from the origin upon the straight lines $x \sec \theta + y cosec \theta = a$ and $x \cos \theta - y \sin \theta = a \cos 2 \theta$ respectively, then the value of $4P_1{^2} + P_2{^2}$.
An arch of a bridge is semi-elliptical with major axis horizontal. If the length of the base is \(9\) m and the highest part of the bridge is \(3\) m from the centre of the horizontal axis, the best approximation of the height of the arch \(2\) m from the centre of the base is:
Through the vertex \(O\) of parabola \(y^2=4x\), chords OP and OQ are drawn at right angles to one another. The locus of the midpoint of PQ is
\(\displaystyle \lim_{x \to 0} \left(\csc x\right)^{\frac{1}{\log x}}\) is equal to:
The complex number \(z=z+iy\) which satisfies the equation \[ \left|\frac{z-3i}{z+3i}\right|=1 \] lies on:
If \(z=x+iy,\; z^{1/3}=a-ib\), then \(\dfrac{x}{a}-\dfrac{y}{b}=k(a^2-b^2)\), where \(k\) is equal to:
\(i^{57}+\dfrac{1}{i^{25}}\), when simplified has the value:
The angle of intersection of the two circles \(x^2+y^2-2x-2y=0\) and \(x^2+y^2=4\) is:
The value of \(\lambda\), for which the lines \(3x-4y=13\), \(8x-11y=33\) and \(2x-3y+\lambda=0\) are concurrent is
If \(P_1\) and \(P_2\) be the lengths of perpendiculars from the origin upon the straight lines \(x\sec\theta+y\cosec\theta=a\) and \(x\cos\theta-y\sin\theta=a\cos2\theta\) respectively, then the value of \(4P_1^2+P_2^2\) is:
Let \[ f(x)= \begin{cases} (x-1)\sin\!\left(\dfrac{1}{x-1}\right), & x \neq 1 \\ 0, & x = 1 \end{cases} \] Then which one of the following is true?
In how many ways can a committee of 5 be formed out of 6 men and 4 women containing at least one woman?
The number of all three element subsets of the set \(\{a_1,a_2,a_3,\ldots,a_n\}\) which contain \(a_3\) is:
If \(T_0,T_1,T_2,\ldots,T_n\) represent the terms in the expansion of \((x+a)^n\), then \((T_0-T_2+T_4-\cdots)^2+(T_1-T_3+T_5-\cdots)^2=\)
The coefficient of \(x^4\) in the expansion of \((1 + x + x^2 + x^3)^{11}\) is:
A bag contains 5 brown and 4 white socks. A man pulls out 2 socks. Find the probability that they are of the same colour.
A bag contains \(n+1\) coins. It is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is \(\frac{7}{12}\), then the value of \(n\) is
The solution of \(\cos(2x)-1(3+2\cos x)=0\) in the interval \(0\le x\le2\pi\) is:
Find the value of \(\tan^{-1}\!\left(\dfrac{1-\frac{\pi}{5}}{2}\right)\).
\(\cos^2\!\left(\frac{\pi}{6}+\theta\right)-\sin^2\!\left(\frac{\pi}{6}-\theta\right)=\)
Find out the missing term in the series: 1, 8, 27, ?, 125, 216

Find the missing number from the given response. 

If the first and second letters of the word DEPRESSION were interchanged, also the third and fourth letters, the fifth and the sixth letters and so on, then which of the following would be the seventh letter from the right?