Three numbers are in the ratio of $3:2:5$ and the sum of their squares is $1862$. The smallest of these numbers is:

If $P: Q = 8: 15$ and $Q: R = 3: 2$,then find $P: Q: R$.

$A$ person distributes his pens among four friends $A, B, C$ and $D$ in the ratio $\frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{6}$. What is the minimum number of pens that the person should have?

The number that must be added to each of the numbers $8, 21, 13$ and $31$ to make the ratio of the first two numbers equal to the ratio of the last two numbers is:

$A$ year ago,the cost of Maruti and Figo were in the ratio of $3:4$. The ratio of present and past year costs of Maruti and Figo are $5:4$ and $3:2$,respectively. If the sum of their present costs is $7.8$ lacs,find the cost (in lacs) of Figo a year ago.

If two numbers are in the ratio $2:3$ and the ratio becomes $3:4$ when $8$ is added to both the numbers,then the sum of the two numbers is