Arithmetic Questions

Which least number should be subtracted from 5825 to make it a perfect square?

Ram buys 13 balls for Rs. 390 and sells them at the rate of Rs. 33 per ball. Find his gain percentage.

Find the simple interest on Rs. 3,500 at 10% p.a. for 7 years.

If the selling price of 10 chairs is the same as the cost price of 8 chairs, find the loss percentage.

A person covers a distance of 40km by bus in 70mins. After deboarding the bus, he took a rest for 40mins and covered another 20km by taxi in 40mins. Find his average speed for the whole journey.

The third proportional to 7
6
1
​
and 11 is:

On selling 2800 school bags, Anita earns a profit equal to the sale price of 420 school bags. What is the gain percentage that Anita earned?
Note: round off to two decimal places

At a college NSS camp, there is food provisions for 320 students for 38days. If 60 more students join the NSS camp on the first day itself, then for how many days will the provisions last?

A bus covers the first 80km at a speed of 40km/h. It covers the next 100km at a speed of 50km/h. What is its average speed?

A man can row a boat at 10km/h in still water. If the speed of the stream is 7km/h, what is the time taken to row a distance of 85km down the stream?

If $\text{Rs. }1,500$ is invested at $5\%$ per annum compounded annually, what will be the total amount after $2\text{ years}$?

A teacher records the test scores of five students in two different subjects. The scores are as follows:
* Maths: $78,85,92,88,76$
* Science: $82,79,91,87,84$

Calculate the average score for each subject.

The value of [33{(40×5)+(7×6)}÷11]+(23×15÷24) is:

A can finish one-third of a work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

There are six numbers whose average is 120. If the sixth number is one-fourth of the sum of the remaining five numbers, then the sixth number is:

The population of a village increases by 6.25% every year. If the present population of the village is 4046, then what was its population 2 years ago?

A mountaineer ascends $30$ feet at the start of each hour, then pauses to rest and slides back $20$ feet before beginning his climb again at the start of the next hour. If he starts his climb at $8:00\text{a.m.}$, at what time will he first reach a flag positioned $120$ feet above the ground?

The ratio of glycerin and water in a mixture is $3:1$. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of glycerin and water becomes $1:1$?

A container contains two liquids, X and Y, in the ratio $5:3$. When $8\text{liters}$ of the mixture is drawn off, and the container is filled with liquid Y, the ratio of X to Y becomes $2:3$. How many liters of liquid X was in the container initially?

A pump can fill a tank with water in $3\text{hours}$. Due to leakage in the bottom, it takes $3\frac{1}{2}\text{hours}$ to fill it. In what time will the leak empty the fully filled tank?

Kartik walks from point A to B with $50\text{km/hr}$ speed and returns from B to A with a speed of $30\text{km/hr}$. Find his average speed.

By selling a tape-recorder for $\text{Rs. }1900$, I lost $5\%$. What percent shall I gain by selling it for $\text{Rs. }2080$?

Convert $9\text{km/hr}$ into $\text{m/s}$.

The average per day income of A, B and C is $\text{Rs. }45$. If the average per day income of A and B is $\text{Rs. }40$ and that of B and C is $\text{Rs. }43$, then the per day income of B is:

After selling $17$ books for $\text{Rs. }720$, a shopkeeper incurs a loss equal to the cost price (C.P.) of $5$ books. Find the C.P. of a book.

There were two candidates in an election. $10\%$ of voters did not cast their votes. $60$ votes were found invalid. The winning candidate got $47\%$ of the total votes and won by $308$ votes. Find the number of voters enrolled.

Two numbers are in the ratio of $3:7$. If $11$ is subtracted from each, the ratio between the numbers becomes $7:20$. Find the smaller number.

A merchant sells 195kg of wheat for ₹10,260 at a profit of ₹4.50 per kg of wheat. What is the cost price (in ₹, to the nearest integer) of 15kg of wheat?

If 42÷3+k×3−22÷11+4=28, then the value of k is:

A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:

The difference between simple interest on a certain sum at the rate of $8\%$ per annum for $18$ months and $24$ months is $\text{Rs }452$. What is the sum (in $\text{Rs}$)?

The bar graph shows the number of SUVs of different brands sold by a dealer in a month. Study the diagram and answer the following question.If the average price of a SUV sold by the dealer is $\text{Rs }8\text{ lakhs}$, then what is the sales (in $\text{Rs lakhs}$) of all the SUVs sold by the dealer in the month?

The average revenues of 9 consecutive years of a company is Rs 80 lakhs. If the average of the first 5 years is Rs 75 lakhs and that of the last 5 years is Rs 87 lakhs, find the revenue for the 5
th
year.

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

Two cars travel from city A to city B at a speed of 30km/hr and 36km/hr respectively. If one car takes 3 hours lesser time than the other car for the journey, then the distance between City A and City B is:

The average of $10$ consecutive odd numbers is $54$. Find the sum of the fifth and seventh numbers.

Refer to the data table below and answer the following question.
(Note: Figures given are in lakh rupees)

Company 2011 2012 2013 2014 2015
Company A 2000 2000 5000 2000 1000
Company B 2000 3000 1000 5000 2000
Company C 3000 2000 5000 3000 3000
For which of the following pairs of years are the total exports from the three Companies together equal?

Refer to the data table below and answer the following question.

Refer to the data table below and answer the following question:
Quantity of stock Average Cost (Rs)
Mobile Phones: 89 12000
Cameras: 69 19000
TVs: 96 32000
Refrigerators: 40 42000
ACs: 94 25000
What is the value of the total stock (in lakh rupees)?

$57\%$ of Ranita’s weekly income is equal to $76\%$ of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by $\text{₹}400$, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been $6:5$. What is Bhaskar’s weekly income (in $\text{₹}$)?

A man can row $7.5\text{km}$ an hour in still water. He finds that it takes four times as much time to row upstream as it takes to row downstream. The speed of the stream is:

A container contains a mixture of milk and water in the ratio $7:5$. When $9\text{litres}$ of mixture is drawn off and the container is filled with water, the ratio of milk and water becomes $7:9$. How many litres of milk was contained by the container initially?

The value of $30+180÷30\times 6-15-16-60÷3-15$ is:

Simplify the following expression:
$$5\times [14÷13\times \{13\times 14÷(14\times 14)\}]$$

The value of $3+2\times [7+(5+7)÷2]$ is equal to:

Find the value of $(13.49+12.51)\times 13$.

In an election, the winner was supported by $46\%$ of all the voters in the list, and he got $410$ votes more than his only rival. $10\%$ of the voters on the voters' list did not cast their votes, and $60$ voters cast their ballot papers blank. How many voters were on the list?

The strength of a school increases and decreases every alternate year by $15\%$. If it started with an increase in 2012, then the strength of the school in the beginning of 2015, as compared to that in 2012, had (correct to two decimal places):

On account of coronavirus, $5\%$ of the population of a village died. Out of the remaining population, $20\%$ fled due to panic. If the present population is $4655$, then what was the population of the village before the corona attack?

Find the fourth proportion to $10$, $12$, and $15$.

A bus covers the first $50\text{km}$ of its journey in $40$ minutes and covers the remaining $75\text{km}$ in $40$ minutes. What is the average speed (in $\text{km/h}$) of the bus?

A jacket is marked for $₹2,500$. A customer pays $₹1,800$ for it. If the customer got a series of two discounts and the rate of the first discount is $10\%$, then the rate of the second discount is:

Two cars run to a place at the speeds of $45\text{km/h}$ and $55\text{km/h}$, respectively. If the second car takes $40$ minutes less than the first for the journey, then what is the length of the journey (in $\text{km}$)?

In a class, the numbers of boys and girls are in the ratio of $3:5$. What is the percentage of boys in the class?

$A$ and $B$ can do a work in $13$ days and $26$ days, respectively. If they work for a day alternately, starting with $A$, then in how many days will the work be completed?

What annual instalment will discharge a debt of ₹ 10,192 due in 3 years at 10% simple interest?

A $12\text{litre}$ solution of acid and water contains $30\%$ acid. How much water (in litres) must be added to get a solution having $20\%$ acid?

Ramanna purchased raw materials for a certain price to manufacture a product. However, owing to shortage of labour, $22.5\%$ of the raw materials could not be utilised and got wasted. $80\%$ of the cost of raw materials used was added as the cost of manufacturing. If Ramanna could sell his product at a price to earn an overall profit of $20\%$ after offering a discount of $20\%$, how many times of the total cost of the raw materials purchased was the marked price of the product?

A car covers $20\text{km}$ in the first quarter of an hour, $25\text{km}$ in the second quarter of that hour and $15\text{km}$ in the third quarter. The average speed of the car (in $\text{km/h}$) over the entire journey is:

A person borrowed $\text{₹}1760$ at $6\%$ per annum and $\text{₹}2240$ at $9\%$ per annum at simple interest for the same period. He had to pay $\text{₹}1536$ in all as interest. Find the time (in years).

In an election between two candidates, one got $60\%$ of the total valid votes. $25\%$ of the votes were invalid. If the total number of votes was $15,000$, then find the number of valid votes that the other candidate got.

If $30\%$ of $(B-A)=18\%$ of $(A+B)$, then the ratio $A:B$ will be

In what time will the simple interest be $2/5$ of the principal at $8\%$ per annum?

The value of $\left(1-\frac{1}{5}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{7}\right)\dots \left(1-\frac{1}{100}\right)$ is

A can do a work in $6$ days. $B$ takes $8$ days to complete it. $C$ takes as long as $A$ and $B$ would take working together. How long will it take $B$ and $C$ to complete the work together?

An article is sold at $20\%$ profit. If its cost price is increased by Rs. $50$ and at the same time if its selling price is also increased by Rs. $30$, the percentage of profit decreases by $3\frac{1}{3}\%$, then the cost price is