CUET General Test Arithmetic > Ratio, Proportion & Variation PYQs

If 6A = 14B then the ratio of $\frac{A}{7}$ to $\frac{B}{6}$ is:

The mean proportional between 0.08 and 0.18 is?

If 60% of A = 75% of B, then A : B is

If 10% of X is equal to 40% of Y, then the ratio between X and Y is :

If A exceeds B by 40%, B is less than C by 20%, then A : C is :

If 30 % of A = 0.25 of B = 0.2 of C, then find A : B : C ?

If 7 : x = 17.5 : 22.5, then find the value of x.

Ankit, Ashish and Arun earned a profit of Rs. 12 lakh from a year from their business. Ankit retained Rs. 6 lakh, while Ashish and Arun each kept Rs. 3 lakh. What is the ratio of their profits from the business?

What must be added to each term of the ratio 7 : 11 to make it equal to 3 : 4?

Three quantities are in the ratio 4 : 9 : 16. If their sum is 174, find the second quantity.

Three persons A, B and C start a venture with capitals ₹ 1,20,000; ₹ 90,000; and ₹ 60,000 respectively. After 4 months A withdraws ₹ 20,000; after 8 months B adds ₹ 30,000. At the end of year the profit is ₹ 2,88,000. Find C's share.

The ratio of ages of A and B is 7 : 5. Five years hence, the ratio will become 9 : 7. What percentage is the B to A?

A bag contains five-rupee, one-rupee, 50-paise, and 25-paise coins in the ratio 3 : 5 : 6 : 8. If the total amount of money in the bag is ₹225. The number of coins of each kind in ascending order : (A) No. of coins of 25 paise (B) No. of coins of one rupee (C) No. of coins of 50 paise (D) No. of coins of five rupee Choose the **correct** answer from the options given below:

IF A : B = $\frac{2}{9}$ : $\frac{1}{6}$, B : C = $\frac{2}{7}$ : $\frac{5}{21}$ and D : C = $\frac{7}{10}$ : $\frac{3}{5}$, D : E = $\frac{5}{7}$ : $\frac{3}{14}$ then Match the LIST-I with LIST-II | LIST-I | | LIST-II | | |---|---|---|---| | A. | C : A | I. | 32 : 7 | | B. | D : B | II. | 24 : 7 | | C. | B : E | III. | 35 : 36 | | D. | A : E | IV. | 5 : 8 | Choose the correct answer from the options given below:

A, B, C and D enter into a partnership. They invest ₹40000, ₹80000, ₹90000 and ₹120000 respectively. At the end of the first year, B withdraws ₹30,000 and A adds another ₹20,000, while at the end of the second year, C withdraws ₹40,000. In what ratio (in ascending order) will the profit be shared at the end of 3 years? Choose the correct answer from the options given below:

If 60% of A = 75% of B, then A : B is

If 30% of A = 0.25 of B = $\frac{1}{5}$ of C, then find A: B: C.

If $x : y = 4 : 3$, then $(x^2 + y^2) : (x^2 - y^2)$ is:

The two numbers whose mean proportion is 12 and the third proportional is 324, its value is?

The ratio between two numbers is 3:7 and their LCM is 210. The first number is

The ratio of the rate of flow of water through pipes varies inversely, as the square of the radius of the pipes. What is the ratio of the rates of flow in two pipes of diameter 2 cm and 4 cm?

There are 48 students in a college gathering. The ratio of the number of boys to the number of girls in the gathering is 5:3. If the ratio of the boys to girls has to be made 6:5, then how many girls need to be added to the gathering, without changing the numbers of boys who are attending the gathering?

If $\frac{x}{y} = \frac{3}{5}$ and $\frac{y}{z} = \frac{5}{2}$ then $\frac{x^2 + z^2}{x^2 - z^2}$ would be

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

The sum of three numbers, namely, A, B and C is 156. The numbers A and B are in the ratio of 2:5, while B and C are in the ratio of 1:9. Find number B?

If 10% of X = 15% of Y = 1/5 of Z, then X: Y: Z is

Three milkmen rented a pasture, sharing the rent based on their individual use. A grazed 11 cows for 5 months, B grazed 9 cows for 4 months and C grazed 15 cows for 6 months. If A's share of rent is ₹ 1210, then C's share (in ₹) will be:

P, Q, R and S have ₹120, ₹130, ₹140 and ₹150 respectively when they go to visit a fair. P spends ₹49, Q spends ₹54, R spends ₹55 and S spends ₹58. Who has done the lowest expenditure proportionate to their resources?

Read the information given below carefully and answer the question that follows: (A) The mean of 20 observations is 17. On checking, it was found that two observations were wrongly copied as 3 and 6. If the wrong observations are replaced by correct values 8 and 9, then the correct mean will be 16.4. (B) The ratio of $4^{3.5} : 2^5$ is same as 4 : 1 (C) The ratio of 1.5 : 2.5 can also be written as 3 : 5 (D) If : 2A = 3B = 4C, then, A : B : C is equal to 6 : 4 : 3 Choose the correct option:

Two numbers are in the ratio of 3:5. If 9 is subtracted from each, the ratio becomes 12:23. Find the greater number.

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:

The ratio of ages of 2 boys is 3:7. After 2 years, the ratio of their ages will become 5:9. The ratio of their ages after 10 years will be

Two numbers are in ratio of 7:10 and if the sum of the numbers is 119. Find the difference of the numbers.

The present age of P and Q are 40 and 33 years respectively. After X years, the ratio of ages of Q and P to will be 5:6. What is value of X?

The ratio between the speed of two trains is 5:6. If second train runs 540 km in 6 hours, then the speed of the first train is :

The ratio's of salaries of Ram, Tom and Gita are in the ratio of 4:5:7. If the increment is their salaries 10%, 5% and 5% respectively. Then what will be the ratio of their salary?

If A : B = 4 : 5, B : C = 4 : 15 and C : D = 5 : 16 Than find the ratio between A and D :

P is 40 years old and Q is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

If A : B is 2 : 5. Then, the value of 2A + 3B : A + B is

Two numbers are in the ratio 4 : 3. If 2 is added to each of the number the new ratio becomes 5 : 4. Then, find the numbers

Sum of two numbers is 44 and their difference is 16. The ratio of these number is :

Two employees X and Y are paid a total of Rs. 4500 per week by their employer. If X is paid 125 percent of the sum paid to Y, how much is Y paid per week ?

2 years ago ratio of Sita and Prakash age was 5 : 8 respectively. After 4 years this ratio would become 2 : 3. Find the present age ( in years ) of Sita.

Given that a : b = 5 : 3 and b : c = 2 : 5 Which of the following is true?

Arrange the given ratios in descending order: a. 7 : 15 b. 15 : 23 c. 17 : 25 d. 21 : 39 Choose the correct answer from the options given below:

A is younger than B by 7 years. If their ages are in the respective ratio of 7 : 9 then how old is A?

What is the value of x if $4 : x = x : 16$ ________?

Ratio between age of P and Q is 5 : 7. If 2 years ago Q's age was 2 years more than the age of P after 4 years, then find their total age

Which of the following represents $x.y = 64$?