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Question 1:

If $x^{2}+3 x+1=0$, then what is the value of $x^{6}+\frac{1}{x^{6}} ?$

Question 2:

The average salary of a company increases by 200 when the salary of the manager, which is Rs. 19500 , is included. If the number of employees excluding the manager is the smallest cube divisible by 16, what is the final average of the company?

Question 3:

A manufacturer of chair wants to earn $25 \%$ profit on total manufacturing cost after giving a discount of $33 \%$ on MRP. But due to fire in the store he lost $15 \%$ of chairs manufactured by him, then find at what discount percentage should he sell the remaining chair. If he still wants to earn $25 \%$ profit on total manufacturing cost

Question 4:

A and B together can do a piece of work in 6 days. If A alone can complete the same work in 10 days, then in how many days can B alone complete that work?

Question 5:

Tribeni had to travel $175 \mathrm{~km}$ in $3.5$ hours. However, she travelled at the rate of $58 \mathrm{~km} / \mathrm{hr}$ for $2.5$ hours and then rested for 20 minutes before completing the journey. If Tribeni managed to reach on time, her speed during the last stretch would have been

Question 6:

A shopkeeper mixes two qualities of rice, which cost him ₹$ 40$ per $\mathrm{kg}$ and ₹$ 47.50$ per $\mathrm{kg}$ respectively, in such a way that he has $15 \mathrm{~kg}$ of the blended rice costing him a total of ₹ 645 . What is the weight (in $\mathrm{kg}$ ) of the rice that cost him ₹$ 47.50 \mathrm{per} \mathrm{kg}$ ?

Question 7:

A loan of Rs 3825 is to be paid back in two equal half-yearly installments. How much is each installment if the interest is compounded half-yearly at $8 \%$ p.a.?

Question 8:

A deep well $6 \frac{1}{2} \mathrm{~m}$ with inner radius $4 \mathrm{~m}$ was dug. The soil from its excavation is spread evenly to form an embankment about $5 \mathrm{~m}$ wide. What will be the height of the embankment (in $\mathrm{m}$)?

Question 9:

The centroid of an equilateral triangle $\Delta \mathrm{ABC}$ is $\mathrm{G} .$ If $\mathrm{BC}=66 \mathrm{~cm}$, then what is the length (in $\mathrm{cm}$ ) of $A G$ is?

Question 10:

A cyclic quadrilateral $\mathrm{ABCD}$ is drawn in a circle with centre $\mathrm{O} . \mathrm{A}$ and $\mathrm{C}$ are joined to $\mathrm{O}$. If $\angle \mathrm{ABC}=2 \mathrm{p}$ and $\angle \mathrm{ADC}=3 \mathrm{p}$, what is the measure (in degrees) of the $\angle \mathrm{AOC}$ reflex?