List of practice Questions

Identify from the following a pair of better yielding semi dwarf varieties of rice developed in India.
Eukaryotic genes are monocistronic but they are split genes because
Histone proteins are positively charged because they are rich in basic amino acid residues
If the order of matrix A is \(3 \times 3\) and \(|A|=2\), then the value of \(|3adj (|3A|A2)|\) is?
In one of the hybridisation experiments, a homozygous dominant parent and a homozygous recessive parent are crossed for a trait. (Plant shows Mendelian inheritance pattern)
In male heterogametic type of sex determination
Which of these is NOT an example for Adaptive radiation?
The Lac-Operon model was elucidated by
Select the correct set of anticancer drugs that belong to “pyrimidine and related compounds”:
Let \(a,b,c,d \) be an increasing sequence of real numbers,which are in geometric progression .If \(a+d=112\) and \(b+c=48\) ,then the value of \(\dfrac{a+c+8}{b}\) is 

The rod PQ slides along 2 parallel rails as shown in the figure. It has a length of 20 cm and is perpendicular to the 2 rails. It performs simple harmonic motion with amplitude 5 cm and frequency 10 Hz. The magnetic field is 10-4T and is directed perpendicular to the plane of paper. What is the peak induced electro-magnetic force?

Six coins tossed simultaneously then find the probability of getting at least 4 heads.

Let the probability distribution of random variable X be
X-2-1123
P(X=x)k2k2kk3k

Then, the value of E(X2) is
\(∫\dfrac{1}{cosx(sinx+2cosx)} dx=\)
Let \(f:\R\rightarrow\R\) be defined by
\(f(x) =   \begin{cases} x & \text{if}\ x\leq1 \\  -x+2 & \text{if}\ x\gt1\end{cases}\)
Then \(\int^{2}_{0}f(x)dx=\)
\(∫xlog(1+x^2)dx=\)?
\(\int\frac{2\tan x+3}{\sin^2x+2\cos^2x}dx=\)
\(∫\dfrac{x+5}{x^{2}+1}dx=\)

\(∫sin^2 πx dx =\)?

\(\int\frac{1}{x^2-2x+2}dx=\)
\(\lim_{x\to0}\dfrac{ln(1+(ln5)x)}{5^{x}}-1\)
If \(y=x^{e^x}+x^{e} for x>0\),the  \( \dfrac{dy}{dx}\) is equal to ?
The equation of the line passing through origin which is parallel to the tangent of the curve \(y=\dfrac{x-2}{x-3}\) at \(x=4\) is 

Let  \(f:R→R\)  be defined by  \(f(x)=\){\(2x+3,x≤5 3x+α,x>5\) .Then the value of \(α\) so that f is continuous on \(R\) is 

 

 

Let \(f(x)=αsin^23x\) .If  \(f ′(\dfrac{π}{12})\) = \(−3\),then the value of \(α \) is