Arithmetic PYQ

Read the information given below carefully and answer the question that follows: (A) If the mean of 5 numbers is 15 and then if 27 is included to the numbers, then the mean of the 6 numbers shall be 17 (B) The mean of marks of 300 students is 60, the mean of the top 100 students' marks is 80 and the mean of the last 100 students is 50, then the mean of the marks of the rest of the 100 students of the group is 60. (C) The mean and median of 5 observations is 9 and 8 respectively, if 1 is subtracted from each observation, then the new mean and median shall be 8 and 7 respectively Choose the correct answer from the options given below:

Piyush covers a certain distance on bike. Had he moved 3 km/h faster, he would have taken 20 min less. If he had moved 2 km/h slower, he would have taken 20 min more. The distance covered (in km) is:

If the cost-price of 18 articles is equal to the selling price of 15 articles, then find the gain percentage?

Consider the following distribution. | Class Interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | |---|---|---|---|---|---| | Frequency | 17 | 28 | 32 | f | 19 | f the mean of the above distribution is 50, find the value of f.

Consider the following frequency distribution. | Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | |---|---|---|---|---|---|---|---| | Frequency | 4 | 5 | 7 | 10 | 12 | 8 | 4 | Find the median of the distribution?

Ajeeta and Sanjeeta undertake a project for ₹ 48000. Further, it is known that Ajeeta can finish the project in 24 days and Sanjeeta can finish the project in 40 days while working alone. If the project gets completed in just 10 days when Ranjeeta also helped them in completing the project, then determine the amount that Ranjeeta would have received, if they distributed the amount in proportion to their respective working capability?

Ram can do a piece of work in 10 days and Anshu in 20 days. They work together but 2 days before the completion of the work, Ram leaves and Anshu completes the work. In total how many days was the work completed?

Arrange the simple interest of the following cases in decreasing order- (A) The simple interest on Rs 6600 at 5% per annum for 2 yrs. (B) The simple interest on Rs 200 at 6% per annum for 5 yrs. (C) The simple interest on Rs 840 at 5% per annum for 4 yrs. (D) The simple interest on Rs 5000 at 12% per annum for 2 yrs. Choose the correct answer from the options given below:

A man's wage was reduced by 50%. Again, the reduced wage was increased by 50%. Find his loss in terms of percentage:

P and Q can do work separately in 10 and 20 days, respectively. In how many days can they finish it, working together?

The median of the observations: 12, 59, 14, 46, 18, 42, 26, 33, 22 is:

A boy travels between point A and point B at a speed of 6 km/h and returns at a speed of 9 km/h. If the total time taken by him is 1 hour 15 min, the distance between A and B is:

A, B and C can do some work in 40 days. A and C together can do twice as much work as B alone. Find the time taken by B to do the whole work.

A certain sum becomes 3-fold at 4% annual rate of interest. At what rate, will it become 6-fold?

Profit earned by selling an article for Rs.1060 is 20% more than the loss incurred by selling the article for Rs.950. At what price should the article be sold to earn a 20% profit?

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?

A cyclist covers a distance of 170 meters in 17 seconds. The time taken by the cyclist to cover the distance of 6 km, shall be how much?

In a class, the number of students who scored 61 or more marks is 30 and there are almost 39 students who have scored below 61 marks. If the average marks of the class is 48, then determine that what is the largest possible average marks of students who have scored below 61 marks?

Ram, Shyam and Hari can complete a work in 20, 25 and 30 days, respectively. Consider the following statements: (A) Ram and Shyam together will complete the work in $11\frac{1}{9}$ days. (B) Shyam and Hari together will complete the work in 14 days. Choose the correct answer from the options given below:

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?

The mode and median of a set of 7 observations are 22.72 and 49.28, respectively. If each of the largest 3 observations of the set is increased by 4, then the median of the new set?

The profit earned after selling an item for ₹ 797 is the same as the loss incurred after selling the same item for ₹ 635. What is the cost price of the item?

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

The owner of a garment shop labelled his articles at 25% above the cost-price. Due to a slump in the market, his cost price was reduced by 5% but he keeps the marked price same. He thus offers a discount of 8%, due to which the sales increase by 25%. Calculate the change in owner's profit?