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Question 1:

The average runs scored by Sunil in 17 innings is 37. What is his score in the 17th inning, thereby, increasing his average score by 9 runs?

Question 2:

If $8 a^{3}+b^{3}=16$ and $2 a+b=4$, then find the value of $16 a^{4}+b^{4}$

Question 3:

What is the value of $x$, if $25 \%$ of $480+30 \%$ of $500+x \%$ of $90=35 \%$ of $900 ?$

Question 4:

The simple interest on a certain sum for $3 \frac{1}{2}$ years at the rate of $10 \%$ per annum is Rs.2,940. What will be the compound interest in Rs.) on the same sum for $1 \frac{1}{2}$ years at the same rate when interest is compounded half-yearly (nearest to a rupee)?

Question 5:

A solid cylinder has a radius of $9 \mathrm{~cm}$ and a height of $25 \mathrm{~cm}$. What is the ratio of its total surface area to its curved surface area?

Question 6:

Find the area (in $\mathrm{cm}^{2}$ ) and diameter (in $\mathrm{cm}$ ) of a circle whose circumference is $40 \pi \mathrm{cm}$ ?

Question 7:

The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is:

Question 8:

Simplify the following expression.$\frac{0.8 \times 0.8 \times 0.8+0.6 \times 0.6 \times 0.6}{0.08 \times 0.08+0.06 \times 0.06-0.08 \times 0.06}$

Question 9:

Anil offers his customer a discount of 15% on a T-shirt and he still makes a profit of 25%. What is the actual cost of the T-shirt marked ₹500?

Question 10:

Ram is travelling at a speed of 72 km per hour while Shyam is travelling at a speed of 90 km per hour. What is the difference in their speeds (in metres per second)?