UP LEKHPAL QUANT QUIZ

Find the mode of the following data.

$6,7,9,11,4,6,9,12,15,13,9,16,4,6,8,9$

If $5 a+4 b=24$ and $a b=4$ then find the value of $25 a^{2}+16 b^{2} ?$

The value of $\sin 120^{\circ} \cos 330^{\circ}+\cos 240^{\circ} \sin 330^{\circ}$ is?

A man buys two chairs for a total cost of Rs. 900. By selling one for $\frac{4}{5}$ of its cost and the other for $\frac{5}{4}$ of its cost, he makes a profit of Rs. 90 on the whole transaction. The cost of the lower priced chair is:

In $\triangle \mathrm{PQR}, \angle \mathrm{P}$ is $50^{\circ}$ and $\angle \mathrm{Q}$ is $20^{\circ}$ more than $\angle \mathrm{R}$ then find the measure of $\angle Q$.

Out of total income, Suruchi spends $10 \%$ on house rent and $80 \%$ of the rest on household expenses. In this she saves Rs. 1800. What is his total income.

The simplest form of $\frac{5.71 \times 5.71 \times 5.71-2.79 \times 2.79 \times 2.79}{5.71 \times 5.71+5.7 \times 2.79+2.79 \times 2.79}$ is :

The difference of compound interest and simple interest of a sum of money at the rate of $5 \%$ per year for 2 years is Rs. 250. The sum is:

The average age of a jury of 5 is 40 . If a member aged 35 resigns and a man aged 25 becomes a member, then the average age of the new jury is:

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500 \mathrm{~m}^{2}$ and the perpendicular distance between the two parallel sides is $100 \mathrm{~m}$, find the length of the side along the river?