List of practice Questions

Faster distribution of some injectible material/medicine and with no risk of any kind can be achieved by injecting it into the :
Give below is the diagram of a bacteriophage. In which one of the options all the four parts $A, B, C$ and $D$ are correct?
If $m$ is the slope of one of the lines represented by $ax^2 + 2hxy + by^2 = 0,$ then $(h + bm)^2$ = ______
A wire of length $20\,cm$ is bent in the form of a sector of a circle. The maximum area that can be enclosed by the wire is ____
The sum of all two digit natural numbers which leave a remainder $5$ when they are divided by $7$ is equal to
Volume of a gas at NTP is $ 1.12\times {{10}^{-7}}c{{m}^{3}} $ . The number of molecules in it is
The line joining $A (2, -7)$ and $B(6, 5)$ is divided into $4$ equal parts by the points $ P,Q$ and $R$ such that $AQ = RP = QB$. The midpoint of $ PR$ is _______
The number $(49^2 -4) (49^2 -49)$ is divisible by ..................
The constant term of the polynomial $\begin{vmatrix} {x+3}&{x} &{x+2}\\ {x}&{x+1}& {x-1} \\ {x+2}&{2x}&{3x+1}\\ \end{vmatrix} $ is ________
The order and degree of the differential equation y =$ \frac {dp}{dx}x +\sqrt {a^2p^2+b^2}$ where $ p=\frac {dy}{dx}$(here $a$ and $b$ are arbitrary constants) respectively are
Jaundice is a disorder of
$Cu$ ions released from copper-releasing intra uterine devices (IUDs)
When domestic sewage mixes with river water
Which one of the following is the correct description of a certain part of a normal human skeleton?
During mitosis, ER and nucleolus begin to disappear at
Why do most chemical reaction rates increases rapidly as the temperature rises?
Pollution is
The number of metamers possible for $ C_4H_{10}O $ is
The wave number of the spectral line in the emission spectrum of hydrogen will be equal to $\frac {8}{9}$ times the Rydberg's constant if the electron jumps from _______
Equation of the circle centered at $(4, 3)$ touching the circle $x^2+y^2-1$ externally, is _____
If $A$ is a $3 \times 3$ nonsingular matrix and if $|A | = 3$, then $|(2A)^{-1}|$= _______
Angular frequency of an electron in Bohr atom with quantum number n is proportional to
As resistance in a series resonant circuit increases (i) sharpness of resonance decreases (ii) bandwidth increases
In the group $\{1, 2, 3, 4, 5, 6\}$ under multiplication modulo $7$, if $5x = 4$, then $x =$
If $x= a\left(\cos \theta +\theta \sin \theta\right)$ and $ y = a \left(\sin \theta- \theta \cos \theta \right) $ where $0 < \theta < \frac{\pi}{2}$ , then $ \frac{d^{2}y}{dx^{2}}$ at $ \theta = \frac{\pi}{4}$ is equal to