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Question 1:

Find the value of trigonometic ratios:

$\cos \left(\frac{-25 \pi}{4}\right) ?$

Question 2:

Find the average of $\frac{1+2^{2}+3^{2}+\cdots 10^{2}}{1+2+3+\cdots 10}$

Question 3:

Four dice are rolled . The number of possible out comes in which at least one die shows 5 is.

Question 4:

The cost price of an item is Rs. $8000.30 \%$ partr of the item is sold at a profit of $15 \%$ and $40 \%$ of the remaining part of item is sold at a profit of $25 \%$. In how much percentage (approximate) he should sell the remaining part to get an overall $30 \%$ profit on the whole item?

Question 5:

Hari walks from his home at $5 \mathrm{~km} / \mathrm{hr}$ and reaches his office 3 minute late. The next day he increases his speed by $1 \mathrm{~km}/hr$ and reaches 3 minutes early. The distance of his office from home is:

Question 6:

The sum of the length of two trains A and B is 660m. The ratio of the speed of A to that of B is 5 : 8. The ratio of time to cross an electric pole by train A to that by B is 4 : 3. Find the difference between the length of the two trains.

Question 7:

Find the value of $\sin 79^{\circ} \sec 11^{\circ}+\sin 11^{\circ} \sec 79^{\circ}$

Question 8:

The ratio of milk and water in the mixture of $5: 2$. If 42 liters of mixture is replaced with water then the ratio of milk and water becomes $2: 5$. What was the initial quantity of milk in the mixture.

Question 9:

If one extremity of a chord  of the circle $x^{2}+y^{2}=25$ , which subtend a of a right angle of a  center  is at $(-4,3)$ then the other extremity can be

Question 10:

Two equations numbered I and II are given. You have to solve both the equations and give answer

I. $3 x^{2}-10 x+8=0$

II. $2 y^{2}-19 y+35=0$