Arithmetic PYQ — Page 4

The simple interest on Rs 7200 at 14% per annum for 7 years is:

There exist three numbers in the ratio of 3 : 2 : 7 such that the sum of their squares is equal to 558. The three numbers will be respectively:

If m is proportional to n and m = 5 when n =4, then what is the value of m when n = 18?

Two cyclists, k kilometers apart, and starting at the same time, would be together in r hours if they traveled in the same directions, but would pass each other in t hours if they travelled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is:

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?

Find the median of the following observations. 6, 49, 14, 46, 16, 42, 26, 32, 28

Consider the compound interest in the following cases: (A) The compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly is Rs. 2500 (B) The compound interest on Rs 2800 at 10% per annum for 18 months is Rs. 434. Choose the correct statement(s):

A car covers a certain distance in 7 hours with a uniform speed. The same distance could have been covered in 6 hours if the speed of the car was increased by 10 Km/h. What is the distance covered?

P can build a wall in the same time in which Q and R together can do it. If P and Q together could do it in 30 days and R alone in 40 days, in what time could Q alone do it?

If P: Q: R = 2:3:4, then find: $\frac{P}{Q}:\frac{Q}{R}:\frac{R}{P}$

A sum of money becomes thrice of itself in 20 years. Find the simple interest rate per annum?

By selling 8 pens for Rs 75, a shopkeeper loses 25%. How many pens should be sold for Rs 372 to earn a 24% profit?

A and B can complete a job in 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is:

A sales agent travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometres per hour, on average, must he travel to make such a trip in 5/6 hours less time?

Two trains of equal length are running from the same origin on parallel tracks in the same direction, at the speeds of 58 km/hr and 73 km/hr, respectively. The faster train passes the other train in 144 seconds. What is the length (in meters) of each train?

In a moderately asymmetrical distribution, the mode and mean are 31.5 and 34.5, respectively. Calculate the median:

In an examination, out of 480 students, 85 % of girls and 70 % of boys pass. How many boys appeared for the examination, if the total pass percentage of the examination is 75 %?

If a saree is sold for Rs. 2880, the seller will incur a loss of 10%. At what price should he sell it to gain a profit of 20%?

Amit is walking at a speed of 10 km/hr. After every kilometer, he takes a rest for 5 minutes. What is the time taken to cover a distance of 5 kilometers by Amit?

If the data is not following a symmetrical distribution, then the relationship between mean, median and mode is:

What is the present worth of ₹ 161 due in 3 years at 5% simple interest per annum?

A boy is running at a speed of p km/hr to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q km/hr (p>q). If he takes r hours to cover the distance, then

Read the information given below carefully and answer the question that follows: (A) The mean of 20 observations is 17. On checking, it was found that two observations were wrongly copied as 3 and 6. If the wrong observations are replaced by correct values 8 and 9, then the correct mean will be 16.4. (B) The ratio of $4^{3.5} : 2^5$ is same as 4 : 1 (C) The ratio of 1.5 : 2.5 can also be written as 3 : 5 (D) If : 2A = 3B = 4C, then, A : B : C is equal to 6 : 4 : 3 Choose the correct option:

A motor boat can travel at 15km/hr in still water. It traveled 63 km downstream in a river and then returned taking altogether 10 hr. What is the rate of flow of the river?