Ratio, Proportion and Variation

111,111,111 is divisible by ,

Fill in the blank :- $32 \mathrm{m} :64 \mathrm{m}=6 \sec : \mathrm{\_\_\_\_\_}$

The ratio is said to be not in the simplest form if common factor is _____.

Two quantities can be compared only if they are in the same _____.

The average of $10$ numbers is $40.2$. Later it is found that two numbers have been wrongly added. The first is $18$ greater than the actual number and second number added is $13$ by mistake instead of $31$. Find the correct average.

The average temperature of the first three days is $22°\mathrm{C}$ and of the next three days is $24°\mathrm{C}$. If the average temperature of the whole week is $23.5°\mathrm{C}$, what is the temperature of the last day of that week?

If $a:b=6:9$ and $b:c=4:7$, find $a:b:c.$

Three numbers which are co-prime to one another are such that the product of the first two is $551$ and that of the last two is $1073$. The sum of the three number is _____.

If $A=\frac{1}{4}B=\frac{1}{2}C$, then find the ratio $A : B : C$.

If $2A = 3B = 4C$, then find the ratio of $A : B : C$.

If$A : B = 8 : 15, B : C = 5 : 8$and $C : D = 4 : 5$, then $A : D$is equal to:

In a group of buffaloes and ducks, the number of legs are $24$more than twice the number of heads. What is the number of buffaloes in the group?

What should come in place of question mark in the following given series?

$13, 13, 65, 585, 7605, 129285, ?$

Which of the following order in descending order --

$16.04.1970$

$15.05.1970$

$18.06.1980$

$20.04.1970$

$25.05.1970$

$1$. $16.04.1970$

$2$.$15.05.1980$
$3$. $18.06.1980$

$4$. $20.04.1970$
$5$.$25.05.1970$

The ratio of the number of students appearing for the examination in $1998$ in the states, A, B and C was $3 : 5 : 6$. Next year if the number of students in these states increases by $20\%, 10\%$ and $20\%$ respectively, the ratio in states A and C would be $1 : 2$. Find the no. of students who appeared for the exam in the state A in $1998$.

The ages of Samina and Suhana are in the ratio of $7 : 3$ respectively.After $6$ Years the ratio of their ages will be $5 : 3$. What is the difference in their ages?

If $A : B : C = 2 : 3 : 4$, then $A/B : B/C : C/A$ is equal to :

$7:42$ is equivalent ratio of _____.

$9$ and $45$ are first and second terms respectively in a continued proportion, then the third proportional is _____.

If $\mathrm{A} : \mathrm{B} = \frac{1}{2} : \frac{3}{8} , \mathrm{B}:\mathrm{C} = \frac{1}{3} : \frac{5}{9}$and $\mathrm{C}:\mathrm{D} = \frac{5}{6} : \frac{3}{4}$, then find the value of  $\mathrm{A} : \mathrm{B} : \mathrm{C} : \mathrm{D}$.