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Question 1:

The average run rate of a cricketer in 48 innings is 33 . His highest score exceeds his lowest score by 144 runs. If these two innings are excluded, the average run rate of the remaining 46 innings is 30 . What is the highest score of the player?

Question 2:

If $\mathrm{x}^{2}-3 \mathrm{x}+1=0$ and $\mathrm{x}>1$., then the value of $\left(x-\frac{1}{x}\right)$ is:

Question 3:

Mr. Akhil invested Rs. 13,500 in FD. How much will he get on maturity, if he invested it at 20% per annum compound interest for 6 months, compounded quarterly?

Question 4:

A manufacturer sells an article to a wholesale dealer at a profit of $10 \%$. The wholesaler sells it to a shopkeeper at $20 \%$ profit. The shopkeeper sells it to a customer for Rs. 77,979 at a loss of $15 \%$. Then the cost price of the article (in rupees) for the wholesaler is:

Question 5:

In what ratio must a grocer mix sugar at Rs.32 per kg and Rs.38 per kg as after selling the mixture at Rs. 45 per $\mathrm{kg}$ he makes a profit of $20 \%$ ?

Question 6:

A car driver leaves Delhi at 9:00 AM and expects to reach Jaipur which is $240 \mathrm{~km}$ away from Delhi at $1  \mathrm{PM}$.  At $11 \mathrm{AM}$ he finds that he has covered only $35 \%$ of the Distance. By how much he has to increase the speed (in km/hr) of the car in order to reach Jaipur at the expected time?

Question 7:

If $A$ works alone, he would take 4 days more to complete the job than if both $\mathrm{A}$ and $\mathrm{B}$ worked together. If $\mathrm{B}$ worked alone he would take 16 days more to complete the job than A and B work together how many days would take to complete the work if both of them worked together.

Question 8:

The tangent at a point $A$ of a circle with center $O$ intersects the diameter $P Q$ of the circle (when extended) at point B. If $\angle B A P=107^{\circ}$ then, $\angle A Q P$ is equal to:

Question 9:

A cuboid of mercury, measuring 40 cm $\times 20$ cm $\times 16$ cm, is melted to form spheres of diameter $10$ cm. How many balls will be made in this way? (in approximation)

Question 10:

If $\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=2 \frac{51}{79}$, then the value of $\sin \theta$ is equal to: