Arithmetic PYQ

X, Y and Z together can do a piece of work in 16 (4/11) days. X and Y together can do the same work in 20 days. In how many days will Z alone finish the 60% of the work?

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.

6 goats or 8 sheeps can graze a field in 50 days. 8 goats and 6 sheeps can graze the field in:

The mean of 6 numbers is 19. If two more numbers are included, the mean of the 8 numbers becomes 23. What is the sum of the two included numbers?

In an election contested by only two candidates, one candidate got 30% of the total votes cast and lost by 500 votes. Determine the total number of votes that were cast in the elections?

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

What is the compound interest earned on Rs. 80,000 at 40% per annum in one year, compounded quarterly?

Read the information given in the table carefully and answer the question that follows: NUMBER OF CALCULATORS SOLD BY SHOPS P, Q, R, & S IN JUNE, JULY AND AUGUST | STATIONERY SHOP | JUNE | JULY | AUGUST | |-----------------|------|------|--------| | P | 112 | 100 | 130 | | Q | 100 | 88 | 124 | | R | 110 | 80 | 46 | | S | 96 | 94 | 86 | (A) The difference between the total number of calculators sold by shops P and Q together in August and the number of calculators sold by shops R and S together in June is 42 (B) The average number of calculators sold by Shop S in the three months is 92 (C) The respective ratio between the total number of calculators sold by shops P and Q in July and the total number of calculators sold by shop Q in August is 45 : 31 Choose the correct answer from the options given below:

A sum of money becomes ₹5100 after 3 years and ₹5950 after 4 years on compound interest. The rate of interest per annum is:

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?

The difference between cost price (CP) and selling price (SP) of an article is Rs 240. If the profit is 20%, then the selling price is

3 men or 15 boys can do a piece of work in 30 days. In how many days will 2 men and 5 boys do this work?

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

The median and mean of 7 observations are 9 and 11 respectively. If 2 is subtracted from each observation, then the new median and the new mean will respectively be which of the following?

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

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?

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

'A' can build up a structure in 8 days and 'B' can break it in 3 days. 'A' worked building for 4 days and then 'B' joined and start breaking while 'A' kept building for another 2 days. In how many days will 'A' alone build up the remaining part of the structure?

If $\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2$, then determine a:b:c.

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.

The average of $39$ numbers is $17$. Each number is multiplied by $12$ and then $16$ is added to each number. Finally, each number thus formed is divided by $11$. $$\newline$$ Determine the average of the new sets of numbers thus formed ?