List of practice Questions

The number of seven-digit integers, with sum of the digits equal to $10$ and formed by using the digits $1, 2$ and $3$ only, is

The nitrogen oxide(s) that contain(s) $N-N$ bond(s) is/are i)$N_2O$ ii) $N_2O_3$ iii) $N_2O_4$ iv) $N_2O_5$

The locus of the orthocentre of the triangle formed by the lines $(1 + p )x -p y + p (1 + p) = 0 (1+ q)x-qy + < 7(1+ q) = 0$ and $y = 0$, where $p\ne q$ is

The image of the point $(1, 2, 3)$ in the plane $x + y + z + 3 = 0 $ is

The 32 celled stage of human embryo is

If a sphere is rolling, the ratio of its rotational energy to the total kinetic energy is given by

Read the following statements $S _{1}:$ An object shall weigh more at pole than at equator when weighed by using a physical balance. $S _{2}$ : It shall weigh the same at pole and equator when weighed by using a physical balance. $S _{3}$ : It shall weigh the same at pole and equator when weighed by using a spring balance. $S _{4}$ : It shall weigh more at the pole than at equator when weighed using a spring balance. Which of the above statements is/are correct?

Two small and heavy spheres, each of mass $M$, are placed a distance $r$ apart on a horizontal surface. The gravitational potential at the mid-point on the line joining the centre of the spheres is

Identify the wrong statement.

In the rectangular lamina shown in the figure, $ AB=\frac{BC}{2}. $ The moment of inertia of the lamina is minimum along the axis passing through

Ten one- rupee coins are put on top of each other on a table. Each coin has a mass $m$. Which of the following statements is not true?

Two springs $A$ and $B$ are identical but $A$ is harder than $B\left(k_{A} >k_{B}\right)$. Let $W_{A}$ and $W_{B}$ represent the work done when the springs are stretched through the same distance and $W_{A}'$ and $W_{B}'$ are the work done when these are stretched by equal forces, then which of the following is true?

A $10\, kg$ stone is suspended with a rope of breaking strength $30 \,kg - wt$. The minimum time in which the stone can be raised through a height $10\, m$ starting from rest is (Taking $g =10 \,N\,kg ^{-1}$ )

Pure silicon at 300 K has equal electron (n$_e$) and hole (n$_h$) concentration of $1.5 \times 10^{16} m^{-3}$. Doping by indium increases $n_h$ to $4.5 \times 10^{22}m^{-3}$ The $n_e $ in the doped silicon is

Isolation of Bt gene from bacterium (Bacillus thuringiensis) was taken up in the year

International Rice Research Institute (IRRI) is located in

In females the hormone inhibin is secreted by

In chlorophyll structure four pyrrole rings are united with Mg by their atoms of

Environment Protection Act, to protect and improve the quality of our environment (air, water and soil) was passed in the year

One of the chief functions of smooth endoplasmic reticulum is

The microtubules from opposite poles of spindle get attached to the kinetochores of sister chromatids in

In the nymphal stage of cockroach the juvenile hormone is secreted by

Myelin of nerve fibres of central nervous system is produced and maintained by

Sexual reproduction in fungi may lead to formation of

Axoneme having 9 + 2 doublet microtubule arrangement is found in