CUET UG 2022 — Arithmetic

A shopkeeper offers discount 50% + 50% on a shirt of M.R.P Rs 800, find the selling price of the shirt.

The simple interest as a sum of money is $\frac{4}{5}$ of the principal. Find the rate of interest if both the rate of interest and time are numerically equal.

Find in whichever condition/conditions filling of water tank is/are possible : A. One tap filling the tank in 2 liter / minute. B. One tap filling the tank in 15 liter / minute and one tap emptying the tank with speed 1 liter / minute. C. Two tap filling the tank with uniform speed of 4litre/minute and one tap emptying the tank with speed of 500 ml / sec. D. One tap filling the tank in 2 liter / minute and one tap emptying the tank with speed 4 liter / minute. Choose the correct answer from the options given below:

A and B are two points in a river. Point X and Y divide the line AB in three equal parts. Let the flow of the river is from A to B. The ratio of the time taken to row from point A to Y and from B to Y is 3 : 4. Find the ratio of the speed of the boat upstream to the flow of the river.

The increase in the production of Grams (over the previous years) was minimum during the year

The time taken by train 360 m long travelling at 21 Kmph, in passing a person walking in the same direction at 3 kmph, will be:

If principal = P, Rate R = R% per annum, T = Time year, SI = Simple interest, then a. $T = \frac{100 \times SI}{P \times R}$ b. $SI = \frac{P \times R \times T}{100}$ c. $R = \frac{P \times SI \times T}{100}$ d. $T = \frac{P \times SI \times T}{100}$ e. $R = \frac{100 \times SI}{P \times T}$

Median of the data is:

If the mean of $x-3$, $x+4$, $2x-1$, $x+3$ is 2. The value of x is :

During 2005, the percentage of decrease in production of Maize as against the previous year was-

Alice is faster than Bob, Alice and Bom each walk 30 km. The sum of their speeds is 8 km/hr and sum of time taken by them is 16 hours. Then Alice's speed is equal to

If 20% of a number is 30, then the number is:

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

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

The interest earned on $\rupee 25000$ in 5 years at simple interest is $\rupee 1500$. What is the rate of interest?

If 36 persons can finish 50% of work in 12 days In how many days 72 person can finish the complete work?

Viraj swims for $12\frac{1}{2}$ hours while going 24 km down stream and 36 km upstream. But he takes just 12 hours to swim 36 km down steam and 24 km up stream. At what rate is the river flowing ?

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

Suresh covers a distance by a cycle at 10 km/h. He returns to the starting point in a car at a speed of 50 km/h. Find the average speed for the entire journey.

The average of first 8 multiples of 8 is.

A woman on vacation travels first 150 km at 60 km/hr and the next 150 km at 25 km/hr. The average speed for the first 200 km of the tour is:

2.56 expressed as a percent of 1.6 is.

If P = Rs. 2000, R = 5% per annual, T = 5 year A. Total sum of amount = Rs. 2200 B. SI = Rs. 200 C. SI = Rs. 500 D. Total sum of amount = Rs. 2500 Choose the correct answer from the potions given below:

If 30% of P = Q, then Q% of 30 is the same as :

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

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 ?

The speed of the boat in still water is 20 km/hrs and speed of the stream is 5 km/hr. Find the time taken to travel 50 km downstream and 30 km upstream by the boat.

A bus travelled 3 km distance in 5 second. What is the speed of bus in this distance ?

The mean of the data in numerals is

Radha sells her scooty for Rs. 50000 at a loss of 20%. At what price she should sell her scooty to make a profit of 10% ?

If 60% of 80 = x% of 96, then x is.

A, B and C are in a cycle race of 1500 meters. A cycles twice as fast as B, C cycles $\frac{1}{2}$ as fast as B, C completes the race in 40 minutes. Then, where was B from the finishing line when A finished the race?

A man makes a profit of 20% after selling a product on 28% discount on the printed price. Find the ratio of printed price to cost price

A town has population of 20,000 in 1980. In one year i.e. by 1981 it increased by 25%. Next year i.e. in 1982, it decreased by 20%. The next year in 1983 there was an increase of 30%. What is the population at end of 1983?

What is the average of marks obtained by the all students in computer?

Find the average of following numbers. 12, 15, 18, 14, 16, 13, 25, 28, 23, 27

If the cost price of an item is Rs. 3,200 and sale price is Rs. 2600, then the percentage loss 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.

A train running at a speed 360 km/hr passes a platform with double length in 30 sec. Find the length of platform.

Simple interest of Rs.10000 for 15 years at 15% PA is equal to simple interest of Rs.15000 at $x$% PA in 10 years. Find the value of $x$.

During 2005, the percentage of increase in production of Wheat over the previous year was-

$\frac{3}{4}$ part of the tank is filled by a motor pump in 15 minutes, then the rest part of the tank will be filled in

A man can row at 6 kmph in still water. If the velocity of current is 2 kmph and it takes him 3 hour to row to a place and come back, how far is the place?

A girl increase her speed to 11/5 time of his original speed. So, she reaches her school 15 minute before the usual time. What is her usual time?

What is the ratio between total marks obtained in all subjects by RP and FA?

The sum of the ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

Mohan asked 36 men to build his house in 30 day. 50% of the work got completed in just 10 days. So, Mohan removed some workers. Now, how many persons does he need to complete the remaining work in decided time?

Sita makes profit of 15% by selling a watch for Rs. 1656. At what price should the watch be sold to make 25% profit ?

The average of 3 odd consecutive numbers is 15. What is the sum of first and last numbers?

The average of the four consecutive odd number is 16. What is the difference between third and first number?

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 average of 3 even consecutive integers is 12. What is their product?

P, Q and R can complete a work in 12, 9 and 15 days respectively. Working together, they will complete the same work in:

Mean of the data is:

If P = x% of Y and Q = y% of x, then which of 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:

The mode of data in numerals is

The median of data in numerals is

A chair is sold for $\rupee 96$ at 20% loss. The cost price of the chair is

A seller earns a profit of 10% after selling an object at 10% discount. What is the ratio of cost price to the printed price of the object ?

To find the profit % made on a transaction which among the following is/are required ? A. Cost Price and Discount on Market Price B. Market Price and Discount % C. Discount % of Market Price D. Cost Price and Discount% on Market Price Choose the correct answer from the options given below:

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.

Ratio of the averages of first five (05) odd and first five (05) even natural numbers will be

The average of eight numbers is 6. If each number is multiplied by 5, then the average of the new set of numbers is

If the average of 3, 8, 9 and x is 8. Then, what is the value of x ?

P alone can do a piece of work in 5 days and Q alone in 4 days. P and Q undertook to do it for Rs. 3000. With the help of R they completed the work in 2 days. How much is to be paid to R?

If I sell a cycle at Rs. 3600, I make a profit of 20%. At what price I need to sell to make a profit of 10%.

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

2 women and 3 men can do a piece of work in 10 days while 3 women and 2 men can do the same work in 8 days. In how many days can 2 women and 1 man do the work?

What is average marks obtained by the all students in Hindi?

10% of 5% of Rs.100 is :

A man swimming in a river flowing at 3km/hr, find that in a given time he can swim thrice as far downstream as he can swim upstream. What will be his speed in still water?

A train take 15 second to cross a pole. If the speed of the train is 60 km/hr, then length of the train is:

The simple interest on a sum of money at 12% per annual for 8 years is half of the sum. The sum is______.

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

A can do $\frac{1}{4}$th part of work in 12 days, B can do 50% work in 20 days , and C can do $\frac{1}{3}$rd of the same work in 15 days. Who complete the work first?

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?

A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?

The simple interest of an amount is $\frac{16}{25}$ of the principal. Find the rate % PA, if the time and rate both are numerically equal.

A 400 m long train passes a railway platform in 20 seconds with speed 90 km/hr. What is the length of platform?

A can complete a work in 4 minutes. B in 5 minutes, C in 6 minutes and D in 10 minutes respectively. The average number of units of work completed by them per minute will be

What is the value of 70% of 420 + 30% of 280

The average of the four consecutive odd numbers is 16. What is the third number in the descending order?

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?

An amount becomes its 3 times in 20 years. What is the rate of simple interest per annum?

If 36 farmers can do a piece of work in 24 hours, In how many hours will 18 farmers do it?

What percent decrease in salaries would exactly cancel the 20 percent increase?

What is the overall percentage of marks obtained by GP in all subjects?

A can finish a work in 16 days and B can do same work in half the time taken by A. Then, working together, what part of same work they can finish in a day ?

What will be the simple interest earned on an amount of Rs. 22000 in 8 months at $8\frac{1}{4}\%$ per annum?

A 500 metre long train is running at a speed of 90 km/hr. It will cross a 250 metre long railway bridge in :

The average age of group of 5 friends is 32 years. The youngest friend amongst them is 4 years old. What was the average age of the group at the time of birth of the youngest friend?

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

A car is sold for Rs. 85000 at a loss of 20%. What is the cost price (CP) of the car?

If the sugar price is increased by 25% by how much percent consumption should be reduced that expense remains same.

If 180 meter long train crosses a pole in 9 seconds, find the speed of train in kilo meter/hour.

A and B can complete a piece of work in 30 days. B and C in 10 days, which C and A in 5 days. If all of them work together, the time taken in completing the work

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

The price of cooking gas has increased by 25 %. By what percent should a family reduce the use of cooking gas so as not to increase the expenditure in this account ?

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

If $\left(\frac{2}{9}\right)^{th}$ part of a tub is filled in 2 minutes, then the remaining part of the tub will be filled in :

A tyre has two punctures. The first puncture alone would have made the tyre flat in 6 minutes and the second alone would have done it in 9 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?

The average of first 99 positive integers is:

Find the mean of 12, 15, 7, 8 and 'x + 13', if x = 2

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

The mode of the data is:

A boy secures 70%, 40% and 60% marks in test papers with 100, 50 and 150 respectively as maximum marks. The percentage of his aggregate is

While purchasing one item costing Rs. 600 , I had to pay the sales tax at 6% and on another costing Rs. 16000, the sales tax was 10%. What percent of the sales tax I had pay, taking the two items together on an average?

P can do a work in 12 days. Q can do the same work in 10 days. If P and Q come together, both of them can complete the same work in how many days?