CUET General Test: ArithmeticRatio, Proportion & Variation. Free, no login required.

There exist three numbers in the ratio of 3 : 2 : 7 such that the sum of their squares is equal to 558. The three numbers will be respectively:

If $a:b = \frac{12}{5}:\frac{3}{10}$ and $b:c = \frac{7}{9}:\frac{12}{7}$ then $a:c$ is

If $\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2$, then determine a:b:c.

The monthly salary of A, B and C are in the ratio 2:3: 5. If C's monthly salary is Rs.1200 more than that of A, then B's annual salary is:

If $\sqrt{2}:(1 + \sqrt{3}) :: \sqrt{6}: x$, then $x$ is equal to:

Two numbers are in the ratio 3:5. If 3 is subtracted from the first number and 3 is added to the second number, the ratio becomes 1:3. The sum of the numbers is?

One-half of a certain number is equal to 65% of the second number. What is the ratio of the first number to second number?

If in a class, 10 % of the girls are equal to one-fourth of the boys in the school, then the ratio of girls to the boys in the school is?

If m is proportional to n and m = 5 when n =4, then what is the value of m when n = 18?

If P: Q: R = 2:3:4, then find: $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}$

Two numbers a and b are in the ratio 3:2 and their sum is 25. The value of a is?

In a school bus, there are 54 students, the ratio of boys to girls is 5:4. If 3 boys leave the bus at their stop, the ratio of boys to girls would be ?

If 36: 84 :: 42: X, then the value of X, is:

The sum of three numbers is $136$. If the ratio between the first number and the second number is $2 : 3$ and that between the second and the third number is $5 : 3$, then the first number is:

The mean proportion between 4 and 64 is :

Two numbers are in the ratio 3: 5. If 10 is added to each number, then the ratio becomes 5: 7. Find the numbers.

The fourth proportional to 5, 8, 15 is:

If A : B : C = 1 : 4 : 7 and B = (2x)% of (A + C), then x is :

Two bags of iron ore weight 180 kg 250 gm and 270 kg 50 gm respectively. How much iron ore (in gm) must be taken out from the first bag and added to the second bag so that weight of the first bag may then be two-third of the second bag ?

If $5A = 4B$, $7B = 3C$ and $2C = 7D$, then A : D is :

Joseph gifted Rs. 20000 to his wife and some money to his three children aged 12,14 and 16 years in the ratio of their ages. If he gave Rs. 3000 to his youngest child, then how much money he gifted to his family?

A sum of Rs. 1250 is divided among A, B and C such that A gets $\frac{2}{9}$ of B's share and C gets $\frac{3}{4}$ of A's share. Find the shares of A, B and C (in Rs.).

A, B and C started a business by investing Rs. 40,000, Rs. 50,000 and Rs. 60,000 respectively. After 8 months B withdrew Rs. 10,000. After one more month C withdrew Rs. 40,000. Find the ratio in which profit earned at the end of the year will be distributed.

The sum of the fourth proportional of 4, 5, 16 and the mean proportional of 4, 16, is

A certain weight (in kg) is divided into two parts such that 5 times the first part added to 11 times the second part makes 7 times the whole weight. The ratio of the first part to the second part is :

If $\frac{2a^2 - 3b^2}{a^2 + b^2} = \frac{2}{41}$, then $a : b =$

If $(x+y) : (x-y) = 7 : 3$, then find the ratio of $(x^2+y^2) : (x^2-y^2)$.

In a locality the ratio of number of males and females is 7 : 6. If there are 1050 males, then what is the total population of the locality ?

A, B and C started a business by investing in the ratio 4:3:2. At the end of the year the profit earned was distributed among them in the ratio 8:9:10. Find the ratio of the durations of their investment.

The difference between two numbers P and Q (P > Q) is 40% of their sum. The ratio P : Q is: