List of top Questions asked in BITSAT- 2014

If \[ \begin{vmatrix} p & q - y & r - z \\ p - x & q & r - z \\ p - x & q - y & r \end{vmatrix} = 0, \] then the value of \(\dfrac{p}{x} + \dfrac{q}{y} + \dfrac{r}{z}\) is
Let \( f:\mathbb{R} \to \mathbb{R} \) be a function defined by \( f(x) = \dfrac{x - m}{x - n} \), where \( m \neq n \). Then
If \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is a square root of identity matrix of order 2, then
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?
The coefficient of \(x^4\) in the expansion of \((1 + x + x^2 + x^3)^{11}\) is:
If the \((2p)^{\text{th}}\) term of a H.P. is \(q\) and the \((2q)^{\text{th}}\) term is \(p\), then the \(2(p+q)^{\text{th}}\) term is:
\(\displaystyle \lim_{x \to 0} \left(\csc x\right)^{\frac{1}{\log x}}\) is equal to:
Let \( R = \{(3,3), (6,6), (9,9), (12,12), (6,12), (3,9), (3,12), (3,6)\} \) be a relation on the set \( A = \{3,6,9,12\} \). Then, the relation is:
They requested me to follow them.

An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is: 

For the circuit shown, the current is to be measured. The ammeter shown is a galvanometer with resistance \(R_g = 60.00\,\Omega\) converted into an ammeter by a shunt resistance \(R_s = 0.02\,\Omega\). The value of the current is: 

The load versus elongation graph for four wires is shown. The thinnest wire is: 

A sound source, emitting sound of constant frequency, moves with a constant speed and crosses a stationary observer. The frequency \(n\) of sound heard by the observer is plotted against time \(t\). Which of the following graphs represents the correct variation? 

Three capacitors \(C_1 = 1\,\mu\text{F},\; C_2 = 2\,\mu\text{F}\) and \(C_3 = 3\,\mu\text{F}\) are connected as shown in the figure. The equivalent capacitance between points A and B is: 

Graph between stopping potential of most energetic emitted photoelectrons (\(V_s\)) and frequency (\(\nu\)) of incident radiation on metal is given. Value of slope AB/BC in graph is [where \(h\) = Planck’s constant, \(e\) = electronic charge]: 

Find the final intensity of light (\(I''\)), if the angle between the axes of two polaroids is \(60^\circ\). 

The combination of gates shown below yields: 

\(K_c\) for the reaction \([\text{Ag(CN)}_2]^-\rightleftharpoons \text{Ag}^+ + 2\text{CN}^-\) is \(4.0\times10^{-19}\) at \(25^\circ\text{C}\). The equilibrium concentration of silver cation in a solution which was originally \(0.1\) molar in KCN and \(0.03\) molar in AgNO\(_3\) is:
In the cell reaction \(\text{Cu(s)} + 2\text{Ag}^+(\text{aq}) \rightarrow \text{Cu}^{2+}(\text{aq}) + 2\text{Ag(s)}\), \(E^\circ_{\text{cell}} = 0.46\,\text{V}\). By doubling the concentration of \(\text{Cu}^{2+}\), \(E_{\text{cell}}\) is:
Cu\(^+\) is unstable in solution and undergoes simultaneous oxidation and reduction according to the reaction \(2\text{Cu}^+(\text{aq}) \rightarrow \text{Cu}^{2+}(\text{aq}) + \text{Cu(s)}\). Choose the correct \(E^\circ\) for the above reaction if \(E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34\,\text{V}\) and \(E^\circ_{\text{Cu}^+/\text{Cu}} = +0.15\,\text{V}\).
A gaseous reaction \(X_2(g) \rightarrow Y + \frac{1}{2}Z(g)\). There is an increase in pressure from 100 mm to 120 mm in 5 minutes. The rate of disappearance of \(X_2\) is:

\[ \text{Ph–CH(OH)–CHO} \xrightarrow[\text{H}_2\text{O}]{\text{HO}^-} Q \] P and Q are isomers. Identify Q. 



Consider the following phenols as shown in the figure. The decreasing order of acidity of the above phenols is: 

Aniline reacts with phosgene and KOH to form: 

Find the missing number from the given response.