SSC CGL QUANT QUIZ-2

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E.

Which state(s) has  employed youth less than $80 \%$ of its total youth population?

Three pipes $A, B, C$ can fill an empty cistern in 4,3 and 6 hours respectively. They are opened together. After what time should B be closed, so that the cistern gets filled in exactly $2 \mathrm{hr} 12 \mathrm{~min}$ ?

The upstream speed and downstream speed of a boat is 10 kmph and 14 kmph respectively and boat travelled for T hours & 6 hours in upstream and downstream respectively. If the distance travelled in downstream is 44 km more than upstream, then find the value of ‘T’

A car covers $15 \mathrm{~km}, 20 \mathrm{~km}, 30 \mathrm{~km}, 12 \mathrm{~km}$ at speed of $20 \mathrm{~km} / \mathrm{h}, 30 \mathrm{~km} / \mathrm{h}, 40 \mathrm{~km} / \mathrm{h}$ and $30 \mathrm{~km} / \mathrm{h}$ respectively . The average speed of the car for the total journey is :

Mr. Rajesh is twice as good a worker as Mr. Vishal and together they finish a piece of work in 28 days. In how many days will Vishal alone finish the work?

If $a=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $b=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ then $\frac{a^{2}}{b}+\frac{b^{2}}{a}$

Find the value of:

$\sqrt{3+\sqrt{27+\sqrt{73+\sqrt64}}}$

The income of A is 40% more than the income of B, and the income of C is 65 % less than the income of B. By what percentage is C's income less than that of A's?