For the following questions answer them individually
Solve the following.
$$\frac{2 \sin 22^\circ}{\cos 68^\circ} - \frac{2 \cot 75^\circ}{5 \tan 15^\circ} - \frac{8 \tan 45^\circ \tan 20^\circ \tan 40^\circ \tan 50^\circ \tan 70^\circ}{5}$$
If integer n is divided by 5, the remainder is 2. What will be the remainder if 7n is divided by 5?
A shopkeeper buys two books for Rs.300. He sells the first book at a profit of 20% and the second book at a loss of 10%. What is the selling price of the first book, if, in the whole transaction there is no profit no loss?
When 2 is subtracted from each of the given n numbers, then the sum of the numbers so obtained is 102. When 5 is subtracted from each of them, then the sum of the numbers so obtained is 12. What is the average of the given n numbers?
The average of 4 terms is 30 and the Ist term is $$\frac{1}{3}$$ of the sum of the remaining terms. What is the first term?
Amit travelled a distance of 50 km in 9 hours. He travelled partly on foot at 5 km/h and partly by bicycle at 10 km/h. The distance travelled on the bicycle is:
The following table shows the production of fertilizers (in lakh tonne) by six companies for 5 months (January to May).
In which month does Company II have a contribution of approximately 20% in the total fertilizer production?
If x,y,z are three numbers such that $$x+y=13,y+z=15$$ and $$z+x=16$$, the
value of $$\frac{xy+xz}{xyz}$$ is: