List of practice Questions

Consider the following reaction sequence: \([CaCl_2 + Na_2CO_3 → X+Y] → Z\)

\(\frac{nC_n}{(n+1)}\) + \(\frac{nC_{n-1}}{(n)}\) + ……… + ½ \(nC_1\) + \(nC_0\) = \(\frac{255}{8}\), Then value of n is
The equation of progressive wave is y=5sin(6t + 0.03x). Find the speed of wave

If the earth suddenly shrinks to \(\frac{1}{ 64}\) th of its original volume with its mass remaining the same, the period of rotation of earth becomes \(\frac{24}{ x}\) h. The value of x is .

Number of molecules and moles in 2.8375 litre of O2 at STP.
The number of bent-shaped molecule(s) from the following is_______? 
SO2, O3, I3-, N3-
The degree of dissociation of monobasic acid is 0 3 By what percent is the observed depression in freezing point greater than the calculated depression in freezing point ?
The Sum of number of lone pairs in central atom in IF5 and IF7 is:
At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is mm Hg. (Nearest integer)
If the number of ways in which a mixed double badminton can be played such that no couples played into a same game is 840. Then find the number of players?
Two dice are rolled and sum of numbers of two dice is N then probability that 2N < N! is m/n , where m and n are co-prime, then 11m – 3n is?
Ratio between rms speed of Ar to the most probable speed of \(O^2\) at \(27\degree C\) is
Let \(y = y(x), y > 0,\) be a solution curve of the differential equation \((1 +x^2)dy = y(x−y)dx.\) If \(y(0) = 1\) and \(y(2√2) = β\), then
For the expression \((1-x)^{100}\). Then sum of coefficient of first 50 terms is:
Match the Column:
 Column I Column II
(A).ClO2-(1).Linear
(B).N3-(2).Tetrahedral
(C).NH4+(3).Bent
(D).SF4(4).See-Saw
Two circles having radius \(r_1\) and \(r_2\) touch both the coordinate axes. Line \(x+y=2\) makes intercept 2 on both the circles. The value of \(r_{1}^{2} + r_{2}^{2} - r_{1}r_{2}\) is:
If the value of \(∫_{-0.15}^{0.15} |100x^{2}-1|dx = \frac{k}{3000}\), then the value of k is?
Which of the following expressions give the value of acceleration due to gravity (g') at the altitude h above the surface of Earth.
(R = radius of Earth, g = acceleration due to gravity at surface of Earth)
For a metal ion magnetic moment is calculated to be 4.9BM. Find the number of unpaired.
How many electrons are gained by MnOΘ4 in strongly alkaline medium?
For a first-order reaction, if the value of \(t_{\frac{1}{2}}\) is T, then the value of \(t_{\frac{7}{8}}\) will be_____ T.
Find out difference in oxidation state of Xe in completely Hydrolysed form of XeF4 and XeF6
NH3, NO, N2, F2, CO, CO2, H2O, and XeF4. Fill the number of above molecules having only two lone pair of electrons.

The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to ______.

If \( S_n = 4 + 11 + 21 + 34 + 50 + \dots \) to \( n \) terms, then \( \frac{1}{60} (S_{29} - S_9) \) is equal to: