List of practice Questions

After KDEL mutation, it became KEEL. Where did the mutation happen?

If VXUPLVH is written as SURMISE, what is SHDVD written as?

Place commas correctly and write the numerals:
(a) Seventy three lakh seventy five thousand three hundred seven.
(b) Nine crore five lakh forty one.
(c) Seven crore fifty two lakh twenty one thousand three hundred two.
(d) Fifty eight million four hundred twenty three thousand two hundred two.
(e) Twenty three lakh thirty thousand ten.
What will be the remainder when (428)2024 is divided by 21?

In three beakers labeled as (A),(B), and (C ), 100 mL of water, 100 mL of 1 M solution of glucose in water, and 100 mL of 0.5 M solution of glucose in water are taken respectively and kept at same temperature.

Which of the following statements is correct?

How did Douglas make sure that he conquered the old terror?
The number of onto mappings from the set A = {1, 2, ....., 100} to set B = {1, 2} is:

Coefficient independent of x in the expansion of \([\frac{3x^{2}-1}{2x^{5}}]^{7}\) is?

The number of real roots of the equation

[ x |x| - 5 |x + 2| + 6 = 0 ] ,  is:

Differentiate between the following -
(a) Dominance and Recessive 
(b) Homozygous and Heterozygous 
(c) Monohybrid and Dihybrid.

Let $S_1$ and $S_2$ be respectively the sets of all $a \in R -\{0\}$ for which the system of linear equations
$ a x+2 a y-3 a z=1$ 
$ (2 a+1) x+(2 a+3) y+(a+1) z=2$
$(3 a+5) x+(a+5) y+(a+2) z=3$
has unique solution and infinitely many solutions. Then
Let $f(x)=\int \frac{2 x}{\left(x^2+1\right)\left(x^2+3\right)} d x$. If $f(3)=\frac{1}{2}\left(\log _e 5-\log _e 6\right)$, then $f(4)$ is equal to

'$25$ volume' hydrogen peroxide means

A dipole of charge 0.01C and separation 0.4mm, is placed in an electric field of strength 10 dyne/CC , Find the maximum torque exerted on the dipole in the field.
A bag contains six balls of different colours.Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the probability that exactly three balls are of the same colour is $q$ .If $p: q=m: n$, where $m$ and $n$ are coprime, then $m+n$ is equal to______
A vehicle of mass \( 200 \, \text{kg} \) is moving along a levelled curved road of radius \( 70 \, \text{m} \) with angular velocity of \( 0.2 \, \text{rad/s} \). The centripetal force acting on the vehicle is:
$50^{\text {th }}$ root of a number $x$ is 12 and $50^{\text {th }}$ root of another number $y$ is 18 Then the remainder obtained on dividing $(x+y)$ by 25 is_____
The distance travelled by an object in time \( t \) is given by \( s = (2.5)t^2 \). The instantaneous speed of the object at \( t = 5 \, \text{s} \) will be:
$\displaystyle \lim _{n \rightarrow \infty}\left[\frac{1}{1+n}+\frac{1}{2+n}+\frac{1}{3+n}+\ldots+\frac{1}{2 n}\right]$ is equal to
The mean and variance of $5$ observations are $5$ and $8$ respectively If $3$ observations are $1,3,5$, then the sum of cubes of the remaining two observations is
The sum to $10$ terms of the series $\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\frac{3}{1+3^2+3^4}+\ldots $ is
Let $x=(8 \sqrt{3}+13)^{13}$ and $y=(7 \sqrt{2}+9)^9$ If $[t]$ denotes the greatest integer $\leq t$, then
The parabolas : $a x^2+2 b x+c y=0$ and $d x^2+2 e x+f y=0$ intersect on the line $y=1$ If $a, b, c, d, e, f$ are positive real numbers and $a, b, c$ are in GP, then
$\displaystyle\lim _{n \rightarrow \infty} \frac{3}{n}\left\{4+\left(2+\frac{1}{n}\right)^2+\left(2+\frac{2}{n}\right)^2+\ldots+\left(3-\frac{1}{n}\right)^2\right\}$ is equal to
The correct order of $pK _{ a }$ values for the following compounds is:
Compounds