List of practice Questions

Find the remainder when \( 2^{1040} \) is divided by 131.

In the figure below, \( \angle MON = \angle MPO = \angle NQO = 90^\circ \), \( OQ \) is the bisector of \( \angle MON \), and \( QN = 10 \), \( OR = 40/\sqrt{7} \). Find \( OP \).

Consider a sequence \( S \) whose \( n \)th term \( T_n \) is defined as \( T_n = 1 + \frac{3}{n} \), where \( n = 1, 2, \ldots \). Find the product of all the consecutive terms of \( S \) starting from the 4th term to the 60th term.

100 mL of N/5 HCl was added to 1 g of pure $ {CaCO_3}$ What would remain after the reaction?

Juxtaglomerular apparatus is made up of

The ratio of number of oxygen atoms (O) in 16.0 g ozone $(O_3), \,28.0\, g$ carbon monoxide $(CO)$ and $16.0$ oxygen $(O_2)$ is (Atomic mass: $C = 12,0 = 16$ and Avogadro?? constant $N_A = 6.0 x 10^{23}\, mol^{-1}$)

Rearrange the jumbled alphabets in the following four options and find the odd word among them.

The equation of straight line through the intersection of the lines $x - 2y = 1 $ and $x + 3y = 2$ and parallel $3x + 4y = 0$ is

The length of the sub-tangent, ordinate and the sub-normal are in

$100\, mL$ of $0.1\, M$ acetic acid is completely neutralized using a standard solution of $NaOH$.The volume of Ethane obtained at $STP$ after the complete electrolysis of the resulting solution is

The instantaneous values of alternating current and voltages in a circuit are given as $i=\frac{1}{\sqrt2}\sin(100\pi t)$ ampere $e=\frac{1}{\sqrt2}\sin(100\pi t+\frac{\pi}{3})$ Volt . The average power in watts consumed in the circuit is

The motion of a particle along a straight line is described by equation $ x = 8 + 12t - t^3 $ where $x$ is in metre and $t$ in second. The retardation of the particle when its velocity becomes zero is

Two sources of sound placed close to each other, are emitting progressive waves given by $y _{1}=4 \sin 600\, \pi t$ and $y _{2}=5 \sin 608\, \pi t :$ An observer located near these two sources of sound will hear

If mean and variance of a binomial variate X are 2 and 1 respectively, then the probability that X takes a value atleast one is

The value of $a$ for which the volume of parallelepiped formed by the vectors $\hat {i}+a\hat{j} + \hat{k} \,\, \hat{j}+a\hat{k} $ and $ a\hat{i}+\hat{k} $ is minimum, is

Select a suitable name for this process : ${C_6H_{12}O_6 + 2 A D P + 2 P i -> 2C_2H_5OH + 2 ATP + 2CO_2\uparrow } $

Given below is the floral diagram of a flower. Which of the following descriptions of the flower matches the floral diagram ?

Read the two statements A and B and identify the correct choice from those given : Statement A : Agrobacterium tumefaciens is the causative agent of crown gall disease of dicots. Statement B : Agrobacterium tumefaciens cause infection by entering the plant through wounds and injuries.

The chromosomal complement of individuals with Turner's syndrome is :

Carbon dioxide is called green-house gas because it is

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. It is not possible to make a sphere of capacity $1$ farad using a conducting material. It is possible for earth as its radius is $6.4 \times 10^6\,m$.

In a coil of resistance 10 Ω, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is

The function of potassium ethyl xanthate in froth floatation process is to make the ore

Bond order of $1.5$ is shown by:

The differential equation whose solution is $Ax^2 + By^2 = 1$ where $A$ and $B$ are arbitrary constants is of