CUET UG 2023 — Arithmetic

A woman wants to give Rs 32,800 to her two grandchildren aged 17 years and 18 years. The amount is to be divided such that each grandchild receives equal amounts when they turn 20 years old, at 5% p.a. compound interest. Find the present share of the younger grandchild.

Which of the following speeds is the least?

If Rs 64 amounts to Rs 83.20 in 2 years on simple interest, then how much will Rs 86 amount to in 4 years at the same rate percent per annum ?

Thirty six students of class IX contributed on an average Rs 42 towards flood relief fund whereas some students of class X contributed on an average Rs 54.50. If the overall average contribution per student remained Rs 47, then how many students of class X contributed ?

Which of the following speeds is maximum ?

Rajan does $\frac{7}{11}$ of a work in 21 days. How many more days will he take to complete the work?

Consider the Diagram. 500 Candidates appeared in an Examination comprising test in English, Hindi and Maths. The Diagram gives number of students who failed in different tests. What is the % percentage of student who failed at least two subjects? 

If selling price of 80 articles is equal to the cost price of 100 articles, then find the gain percentage.

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

X got 98 marks in his exam which is 56% of the total marks. What is the maximum marks of the exam?

A certain sum on $13\frac{1}{2}\%$ per annum simple interest amounts to Rs. 2502.50 in 4 years. Find the sum.

If the average weight of 10 students is 25 kg and that of other 10 students is 35 kg, then the average weight of these 20 students is:

Nine boys can complete a work in 360 days, 18 men can complete the same work in 72 days and 12 women can complete it in 162 days. In how many days, can 4 men, 12 women and 10 boys together, complete the work ?

What sum of money will amount to Rs. 520 in 5 years and to Rs 568 in 7 years on simple interest?

The average of first six multiples of 11 is :

Rakesh can do a certain job in 12 days. Vipin is 60% more efficient than Rakesh. How many days will Vipin alone take to do the same job ?

A shop and a car were sold for Rs. 2,70,000 each. Due to increased scope of business, shop was sold at a profit of 20% but due to depreciation, car could be sold at a loss of 10%. How much profit or loss resulted in the entire transaction?

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find $\sqrt{p+q}$.

What percent of 3 minutes is 15 seconds ?

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

The average of 12 numbers is 15 and the average of the first two numbers is 14. What is the average of the remaining numbers?

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

Jyoti can row a boat at $7\frac{1}{2}$ km/h in still water. If in a river running at 1.5 km/h, she takes 50 minutes to row to a place A and come back, then how far off is the place A ?

A wholesaler sells 20 pens at the marked price of 16 pens to a retailer. The retailer sells them at the marked price. Determine the gain percent of the retailer.

Find the compound interest on Rs. 42000 for $1\frac{1}{2}$ years at 10% p.a. compounded annually.

Find the median of the following data : 42, 19, 46, 17, 8, 35, 26, 39, 29

A man walking at a speed of 5 km / h passes a bridge in 15 minutes. What is the length of the bridge (in meters)?

If mean of the numbers 2, $(2p + 2)$, 7, 13, 17, 4 and $(p - 1)$ is 8, then find their median.

The marked price of a chair is 150% of its cost price. A discount of 30% is given while selling the chair. What is the profit percentage ?

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

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 can do a work in 10, 12 and 15 days respectively. In how many days will the work be completed if B is assisted by both A and C on every third day ?

The ratio of working efficiency of A and B is 4 : 5. If A alone completes the work in 15 days then in how many days can B alone complete the work ?

Find the distance covered by a man who walked for 15 minutes at a speed of 3 km/h.

A and B working together can do a work in 10 days. If A can do the work in 15 days, then how many days will B take to do the same work?

A sum of Rs 10,000 becomes Rs 14,400 on compound interest in 2 years. What is the rate of interest per annum ?

In a particular week, the average earning per day of a plumber from Monday to Wednesday remained Rs. 580 and that from Thursday to Saturday it was Rs. 612. If the average earning for the whole week was Rs. 675, then how much did he earn on Sunday ?

A train running at a speed of 45 km/h crosses a 100 m long platform in 60 seconds. The time taken by the train to cross an electric pole is:

A monthly bus ticket costs 20 percent more than a single ticket. A week's extension can be had for the former by paying 10% of the monthly ticket's cost. If the money paid for the monthly ticket (with extension) is Rs 660, then the price of the single ticket is :

Eight persons with an average weight of 49 kg were in a lift. Two more persons Anita and Kamal boarded the lift and the average weight of the persons in the lift increased by 2.8 kg. What is the average weight of Anita and Kamal?

A thief is spotted by a policeman from a distance of 200 meters. The policeman starts chasing at a speed of 10 km/h while the thief is running at a speed of 8 km/h. After how much time (in minutes) will the thief be caught ?

For the data 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11, which of the following is true?

The difference between the cost price and the selling price of an article is Rs. 240. If the profit is 20%, then the selling price is:

The price of rice increases by 30%. A family reduced its consumption so that the expenditure of the rice is up only by 10%. If the total consumption of the rice before the price rise was 10 kg per month, then the consumption of rice per month at present (in kg) is:

The mean of scores obtained by 50 students is found to be 79.5. Later on, it was found that the score of one student was read as 94 in place of 49 and the score of another student was read as 69 in place of 89. Find the correct mean.

If the cost price of 12 pens is equal to the selling price of 8 pens, then what is the gain percent?

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.

A completes $\frac{7}{20}$ of a work in 10 days. Then he completes the remaining work with the help of B in 5 days. The time required for A and B together to complete the entire work is:

If the selling price of 20 pens is equal to the cost price of 16 pens, then find the loss percentage.

The mean proportion between 4 and 64 is :

Two years ago, population of a city was 16,52,600 which increased by 10% in the first year and by 15% in the second year. Find the present population of the city.

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.

Find a single equivalent increase if the number is successively increased by 20%, 25% and 30%?

Three men can complete a work in 6 days and 5 women can complete the same work in 18 days. In how many days can 4 men and 10 women together complete the same work ?

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 ?

Find the average of squares of first five natural numbers.

A wholeseller sells a jacket to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 4,158 for the jacket, then what was the cost price of the jacket for the wholesaler ?

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 :

A 110 m long train takes 3 seconds to pass a pole. How long is the platform if the train passes it in 15 seconds?

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

'A' rides a cycle at an average speed of 30 km/h and reaches the destination in 6 hours. B covers the same distance in 4 hours. If A increases the average speed by 10 km/h and B increases the average speed by 5 km/h What would be the difference in their time taken to reach the destination ?

44% of a number is 2288. What will be 87% of the number?

An article is sold at a certain price. By selling it at 2/3 of that price one loses 10%. Find the gain percentage at original price :

A and B can do a work in 9 days and 12 days respectively. If they work on alternate days starting with A, then in how many days will the work be completed?

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

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

If cost price of an item is 90% of its selling price, then what is the profit percentage ?

The average weight of A, B and C is 60 kg. If the average weight of B and C is 50 kg and that of A and B is 53 kg, then what is the weight of B ?

Two men P and Q start together from place A at 3 km/h and 3.75 km/h respectively for place B. Q reaches half an hour before P. What is the distance that each one has covered ?

Calculate the amount spent on commuting:

A certain sum becomes $\frac{36}{25}$ of itself after 2 years on compound interest. Find the rate of interest per annum.

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.).

The speed of a train is 75 km/h. The distance covered by the train in 6 seconds is :

In pie-chart shown here, what are the expenditures on food and house rent (in rupees), if total monthly expenditure is Rs. 50,000? 

A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days that A alone will take to finish the work is:

The fourth proportional to 5, 8, 15 is:

A's weight is 25 % of that of B and 40 % of that of C. What percentage of C's weight is B's weight?

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what will Rs. 800 amount to in 3 years:

A boy is running at a speed of $p$ km/h to cover a distance of 1 km but due to slippery ground his speed is reduced by $q$ km/h ($p > q$). If he takes $r$ hours to cover the distance, which of the following condition is true:

On compound interest, Rs. 2,000 amounts to Rs. 2,226.05 in 2 years. What is the rate of interest per annum ?

A sum of Rs. 1500 is invested at 5% p.a. simple interest. If the interest is added to the principal after every 10 years, the amount will become Rs. 3000 after :

If the mean of 5 observations $x$, $x + 2$, $x + 4$, $x + 6$ and $x + 8$ is 11, then value of $x$:

By selling on book for Rs. 250, loss percentage is 10 %. What is the cost price?

If the median of $\frac{x}{5}, x, \frac{x}{4}, \frac{x}{2}$ and $\frac{x}{3}$ (where $x > 0$) is 8, then the value of $x$ will be

For a certain period, simple interest on Rs. 1000 at 10% per annum is Rs. 100 more than that on Rs. 800. Find the period (in years).

What is the mode of the following data ? 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.

A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:

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

In a certain store, the profit of an article is 380% of the cost. If the cost increases by 20% but the selling price remains the same, what percentage of the selling price is the profit :