Arithmetic PYQ — Page 7

A man bought 400 m of fabric @ Rs. 60 per metre. He sold 50% of it at a profit of 4%. At what percent should he sell the remaining to gain 12% on the whole transaction?

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

A Police officer sees a chain snatcher and runs to catch her from a distance of 50 metres. When the Police officer starts chasing the chain snatcher from a distance of 50 metres, the chain snatcher is running @ 2 metres per second. At the same time the Police Officer is chasing the chain snatcher @ 4 metres per second. Find the distance covered by the chain snatcher when the Police Officer shall be able to successfully catch her?

A sum of ₹ 5500 is lent out in two parts in such a way that the interest on one part at 12% for 4 years is equal to that on another part at 8% for 5 years. What will be the two parts of the sum?

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?

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?

Dittee has 10 purses and each of which having an average of 25 lipsticks in each purse. Further, it is known that each purse has a minimum of 8 lipsticks and none of the purse has identical number of lipsticks. Determine that what can be the maximum number of lipsticks that Dittee shall have in any of her purse?

A man can walk uphill at the rate of $2\frac{1}{2}$ $km/hr$ and down hill at the rate of $3\frac{1}{2}$ $km/hr$. If the total time required to walk a certain distance up the hill and return to the starting point is 4 hr. 36 min, then what is the distance walked up the hill by the man?

2 trains running in oppsite directions cross a stationary lady standing at a point named F in 26 seconds and 21 seconds respectively. Further, the 2 trains cross each other in 24 seconds. Determine the ratio of the speed of the 2 trains?

In an examination, it is required to get 300 marks to pass. A student gets 225 marks and is declared fail by 10% marks. What are the maximum marks of the examination ?

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is:

In a class of 40 students, ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is :

If the mean of $3, 4, 9, 2k, 10, 8, 6$ and $(k + 6)$ is $8$, and mode of $2, 2, 3, 2p, (2p + 1), 4, 4, 5$ and $6$ is $4$ (p is a natural number), then the value of $(k - 2p)$ 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:

An item is sold for ₹ 504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price ?

A certain sum becomes ₹ 2,356 in 3 years and ₹ 2,660 in 5 years on simple interest. The value of sum is:

A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, then how far (in km) is the place ?

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 ?

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

'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 ?

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.

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

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