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Question 1:

If p is the third proportional to 8,20 and q is the fourth proportional to 3,5 and 24, then find the value of (2p+q).

Question 2:

What is the least number which when divided by 15,18 and 36 leaves the same remainder 9 in each case and is divisible by 11 ?

Question 3:

The value of 15 of $8-6+[(27-3) \div 6-4]$ is:

Question 4:

Savita spends $20 \%$ of her monthly income on groceries. $15 \%$ of the remaining on rent and then $60 \%$ of the left over on children's education and others. If she saves Rs.9,792 a month, then how much (in Rs.) does she spend on rent?

Question 5:

John sold a watch to Sue at a gain of 20%, and Sue sold it to Rima at a profit of 10%. If Rima paid Rs. 2,178 for it, how much did John pay (in Rs.) for the watch?

Question 6:

The average age of a group of 20 persons is $18.25$ years. Some new persons with an average age of 16 years join the group, now the average age of the group becomes 17 years. Find the number of persons who join the group

Question 7:

A certain sum of money, when invested at a certain rate of simple interest, amounts to Rs. 1,102 in 2 years and Rs. 1,600 in 5 years. What is the principal amount (in Rs.)?

Question 8:

A $480 \mathrm{~m}$ long train overtakes a man walking at $12 \mathrm{~km} / \mathrm{hr}$ in the same direction, in 18 second. How much time (in sec.) will it take to pass a $372 \mathrm{~m}$ long bridge with the same speed?

Question 9:

$A$ can do a piece of work in 9 days and $B$ can do the same work in 18 days. In how many days will they together complete the same work?

Question 10:

The curved surface area of a right circular cylinder is $4.4 \mathrm{~m}^{2}$. If the radius of the base of the cylinder is $0.7 \mathrm{~m}$, find its height. [Assume $\pi=\frac{22}{7}$ ]