List of practice Questions

The density of \(3 M\) solution of \(NaCl\) is \(10 \,g \,mL -1\). Molality of the solution is _______ \(\times 10^{-2} m\) (Nearest integer). Given: Molar mass of Na and \(Cl\) is \(23\) and \(355 \,g \,mol ^{-1}\) respectively.

Let f(x) = \(\displaystyle\sum_{k=1}^{10} kx^k\) , x ∈ R. If 2f(2) + f(2) = 190(2)ⁿ + 1 then n is equal to____. 

A sample of water is found to contain 5.85% \((\frac{w}{w})\) of AB (molecular mass 58.5) and 9.50% \((\frac{w}{w})\) XY₂ (molecular mass 95). Assuming 80% ionisation of AB and 60% ionisation of XY₂ , the freezing point of water sample is
[Given : K_f for water 1.86 K kg mol^-1 , Freezing point of pure water is 273 K and A, B and Y are monovalent ions]

Value of \(\int_c\frac{z+4}{z^2+2z+5}dz\) if C is the circle\(|z+1|=1\), is:

Choose the correct option based on the statements below:
1. In Muslim Law, all property is one and there is no distinction between ancestral or self-acquired or separate property, whereas in Hindu law there is separate and self-acquired property.
2. There are no such things as joint family property in a Muslim family whereas, amongst Hindus the concept of joint family property is prevalent.

Choose the correct option based on the statements below:
1. In case of overlapping between three lists under Constitution regarding a matter, the predominance is given to the Union Law.
2. Power to legislate with respect to any matter not enumerated in any three lists is given to both Union and States.

Choose the correct option based on the statements below:
1. Fundamental Rights are affirmative directions while Directive Principles are prohibitive in nature because they put limitations on the State.
2. Fundamental Rights establish a Welfare State in India while Directive Principles make India a liberal political democracy.