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Question 1:

A man on a tour travels the first $120 \mathrm{~km}$ at $60 \mathrm{~km} / \mathrm{h}$ and the next $12 \mathrm{~km}$ at $80 \mathrm{~km} / \mathrm{h}$. What is the average speed of the journey?

Question 2:

The compound interest on a certain sum at $12 \frac{1}{2} \%$ p.a. for 3 years is Rs. 6,350 . What will be the simple interest on the same sum at the same rate for $2 \frac{2}{3}$ years?

Question 3:

$\mathrm{P}$ and $\mathrm{Q}$ together can finish a work in 6 days. $Q$ alone can do the same work in 10 days. In how many days can P alone do the same work?

Question 4:

A, B and C started a business. Twice the investment of $A$ is equal to thrice the invesment of B and also five times the investment of $\mathrm{C}$. If total profit after a year is Rs. $15.5$ lakh, then the share of $\mathrm{B}$ in the profit is:

Question 5:

On simplification, the expression $1 \div 1\left\{\frac{1}{2}+\frac{5}{2}\right.$ of $\left.\frac{1}{5}-\left(\frac{1}{4} \div \frac{1}{2}+\frac{1}{2}\right)+\frac{1}{2} \times 3\right\}$ will give the result as:

Question 6:

A solid sphere of radius $2 \mathrm{~cm}$ is melted to convert in to a wire of length is $100 \mathrm{~cm}$. The radius of the wire.

Question 7:

A invested Rs. x and B invested Rs. (x + 800) in a business. After an year, the profit earned from the business is Rs. 6800. If A’s share in the profit is Rs.3200, then find the value of x.

Question 8:

A boat covers 40 km in 8 hours along the current and 18 km in 6 hours against the current. What is the speed of the current?

Question 9:

If 40 chairs are bought for Rs. 10000 , then how many chairs must be sold for 10000 to gain $60 \%$ ?

Question 10:

If the average of the squares of two consecutive odd natural numbers is 145 , then the average of the two numbers is: