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Question 1:

What sum (in rupees) of money at compound interest will amount to Rs. $12,732.72$ in three years if the rate of interest is $5 \%$ for the first year, $4 \%$ for the second year and $6 \%$ for the third year?

Question 2:

Amit buys a chair and a table for Rs.2400. He sells chair at $12 \%$ profit and table at $10 \%$ profit. If in the whole transaction he earns Rs. 250 , then what is the cost to two such table for Amit?

Question 3:

A train finishes a journey in 18 hours. It travels the first half of the journey at a speed of $105 \mathrm{~km} / \mathrm{h}$ and the second half of the journey at a speed of $120 \mathrm{~km} / \mathrm{h}$. The total distance covered (in $\mathrm{km}$ ) is:

Question 4:

A sphere is placed in a cube so that it touches all the faces of the cube. If ' $a$ ' is the ratio of the volume of the cube to the volume of the sphere and, ' $b$ ' is the ratio of the surface area of the sphere to the surface area of the cube, then the value of ab is?

Question 5:

If $8A5146B$ is divisible by 88, then what is the value of $B-A$?

Question 6:

If $3 x+\frac{1}{2 x}=5$, then $8 x^{3}+\frac{1}{27 x^{3}}=?$

Question 7:

Stations $A$ and $B$ are $40 \mathrm{~km}$ apart. Two trains With speed $38 \mathrm{~km} / \mathrm{hr}$ and $30 \mathrm{~km} / \mathrm{hr}$ respectively Start simultaneously from $A$ and $B$ and travel in the same direction. They meet at a point C beyond B. Distance BC is ____$\mathrm{km}$

Question 8:

if $2 \cos ^{2} \theta+5 \cos \theta-3=0 ; \quad 0^{\circ}<\theta<90^{\circ}$. then find

$\cot \theta+\operatorname{cosec} \theta=?$

Question 9:

In a circle centred at $\mathrm{O}$ and diameter $72 \mathrm{~cm}$, a tangent AP is drawn from an external point $\mathrm{A}$. If $\mathrm{OA}=85 \mathrm{~cm}$, then the lengthof tangent $\mathrm{AP}$ is:

Question 10:

The average weight of 15 students in a class increase by $1.5 \mathrm{~kg}$ when one of the students weighting $45 \mathrm{~kg}$ is replaced by a new student. What is the weight (in $\mathrm{kg}$ ) of the new student?