Recent questions tagged problem-solving-and-data-analysis

What can be the average arithmetic mean of $2x+1,\;x+2, \;2x-3,\;3x+4, \;3x$ and $2x-1$, if $x=-1$

asked Nov 26, 2019 by priyanka.clay6

1 answer

Find the next term of given sequence .. $4, 15, 59, 235, 939, 3755, ....$

asked Nov 25, 2019 by priyanka.clay6

1 answer

The probability of throwing at least one one in a simple throw with two dice is

asked Nov 25, 2019 by priyanka.clay6

1 answer

Find the value of $\begin{align} 6\sqrt{27} - \sqrt{6 \frac{3}{4}}\end{align}$

asked Nov 25, 2019 by priyanka.clay6

1 answer

A farmer ha a corn field which is 40 acres in measure. 4 men can reap 40 acres in 30 days. How many acres of land will 18 men reap in 12 days ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

Cathy walked to school at an average speed of 2.5 miles per hour and jogged back along the same route at an average speed of 6 miles per hour. If her total travelling time was 1.5 hours, what was the total number of miles in the round trip ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

If $w=\dfrac{1}{8} $ then which of the following is equal to $w^{\large\frac{2}{3}} ?$

asked Nov 25, 2019 by priyanka.clay6

1 answer

A rectangular swimming pool has a depth of 10 feet, a width of 26 feet. Water flows into the pool at the rate of 75 feet per hour. How long will it take to fill half its capacity ?

asked Nov 25, 2019 by priyanka.clay6

1 answer

A school tornado has enough food to last 20 children for 6 days. If 24 children ended up taking shelter together, for how many fewer days will the food last ?

asked Nov 24, 2019 by priyanka.clay6

1 answer

Jim, and Shane work at a widget factory. The table below shows for a given day, the number of hours they each spent at the factory, the number of widgets they produced, and the number of 15-minute breaks they took while they were in the factory. Each man works at a constant rate. Jim and are each assigned an equal number of widgets. Neither will take breaks in order to complete this assignment as quickly as possible. Jim offers to do a certain percentage of 's assignment so that they both finish at the same time. What percentage of original assignment of does Jim do ?

asked Nov 24, 2019 by priyanka.clay6

1 answer

The value of the expression $\frac{2^3.4 -(-3)^2}{(-3)^2+4.5}$ is

asked Nov 23, 2019 by priyanka.clay6

1 answer

The cross section of a canal is a trapezoid in shape. If its width is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is $675\;m^2$, what can be the length of the canal ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

Suppose a $3 \times 3 \times 3$ cube is painted red and then divided into twenty seven $1 \times 1 \times 1$ cubes, how many of the $27$ smaller cubes are colored red color on two faces ?

asked Nov 23, 2019 by priyanka.clay6

1 answer

John invested an amount of $\$1500$ at the rate of $6\%$ simple interest for 5 years. After how many years will the amount be same, if he invested $\$1700$ at the rate of $5\%$ ?

asked Nov 22, 2019 by priyanka.clay6

1 answer

If each of the number in the following sum is increased by $t$, the new sum would be $5.32$. What is the value of $t$ ? 0.63 +0.82 +0.39 +0.85 = 2.69

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

The table below shows the relative investment energy sources in the united states by type one column shows the relative investment in 2010 of $\$75$ million total invested in alternative energy. The other column show the projected relative investment in 2018 given current trends. The total projected investment in alternative energy in 2018 is $ \$ 250$ million. United states investment in Alternative Energy Sources

asked Nov 21, 2019 by priyanka.clay6

1 answer

What is the value of $\begin{align}\frac{3^{90} \times 27^{90}}{9^{30}} \end{align}$

asked Nov 20, 2019 by priyanka.clay6

1 answer

Of all houses in a neighborhood, $80\%$ have garages. Of those houses with garages, $60\%$ have two car garages. If there are 64 houses with garages, that are not two car garages, how many houses are there in the neighborhood ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Volume of a cone is $\dfrac{1}{3} \pi r^2h$. What will be its height in terms of $v$ and $r$ ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

The combined gas law formula $\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$ gives the relationship between volume, temperature and pressure of two fixed amounts of gas. Which of the following gives $P_2$ in terms of the other variables?

asked Nov 20, 2019 by priyanka.clay6

1 answer

Max invest $\$P$ in a bank where amount compounds annually at the rate of $r\%$. If he plans to invest for $t$ years, the amount he will get after $t$ years is $\begin{align} A = P \begin{pmatrix}1+\frac{r}{100}\end{pmatrix}^t \end{align}$. In how many years will his amount double ?

asked Nov 20, 2019 by priyanka.clay6

1 answer

If $(8)^{-1} = (2)^{-(x+2)}$, what is the value of $x$ ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

In a leading retail store, the sale of clothes of different material during winter is as shown in the pie chart : The ratio of the sales of wollen clothes to that of leather is $3:2$, what is the percentage of sales of leather ?

asked Nov 18, 2019 by priyanka.clay6

1 answer

Tim borrows $\$P$ at the rate of $r\%$ compounded annually. What can be the amount which he has to repay after $t$ year?

asked Nov 18, 2019 by priyanka.clay6

1 answer

Find the mean of the following numbers : $20-2x, \;20-x, \; 20,\;20+x,\;20+2x$

asked Nov 17, 2019 by priyanka.clay6

1 answer

Leena invests $\$4850$ at $7.6 \%$ as simple interest. If she want the money to increase to $ \$8000$, how long will she need to invest her money ?

asked Nov 17, 2019 by priyanka.clay6

1 answer

A sequence of numbers is given below, what can be its general term ? $\dfrac{1}{6}, \dfrac{1}{3}, \dfrac{1}{2}, \dfrac{2}{3}, ....$

asked Nov 17, 2019 by priyanka.clay6

1 answer

The population of the city of Rochester is growing at an average rate of $5\%$ per year. In 2000 its population was $25,000$. What is the best estimate of the population in 2020, if the town continues to grow at this rate ?

asked Nov 17, 2019 by priyanka.clay6

1 answer

A group of 32 students was polled as to whether they enjoy guitar class, violin class, both or neither. The results were as shown :

asked Nov 17, 2019 by priyanka.clay6

1 answer

In the 1990s the park rangers at Blue stone national park implemented a program aimed at increasing the dwindling coyote population in Montana. Results of the coyote population in the park are shown in the scatter plot below:

asked Nov 16, 2019 by priyanka.clay6

1 answer

At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age $m$ of all the combined group of male and female primates of the primate reserve ?

asked Nov 16, 2019 by priyanka.clay6

2 answers

The table below shows the no. of sold in craft shops A, B and C. What percent of wooden toys were sold ?

asked Nov 15, 2019 by priyanka.clay6

1 answer

The table below shows the no. of sold in craft shops A, B and C. What was the percentage of toys sold from shop A ?

asked Nov 15, 2019 by priyanka.clay6

1 answer

The table below shows the number of sold in craft shops A, B and C. What function of toys were terracotta and wooden toys in all ?

asked Nov 15, 2019 by priyanka.clay6

1 answer

If $9^x.n^2=9^{x+1}.n, \;\;n $ and $x$ are both positive integer. What is the value of $n$ ?

asked Nov 15, 2019 by priyanka.clay6

1 answer

John spends 2 hours on Tuesday, Thursday and Saturday practicing football. On Monday he practices for 90 minutes and on Friday for 1 hour. What is the median time he spends practicing football in a given week ?

asked Nov 15, 2019 by meena.clay6

1 answer

There are 100 people on a line. Michael is the $35^{th}$ person and Ali is the $65^{th}$ person. If a person on line is chosen at random, what is the probability that the person is standing between Michael and Ali ?

asked Nov 15, 2019 by meena.clay6

1 answer

If $3^4 = 9^x$, what is the value of $x$ ?

asked Nov 15, 2019 by meena.clay6

1 answer

Alex and Mira starts from the same place walking at the rate of 5 miles/hr and 5.5 miles/hr respectively in the same direction. At what time will they be 8.5 miles apart ?

asked Nov 13, 2019 by priyanka.clay6

1 answer

Salma read $\frac{7}{9}^{th}$ of a book in $1^{st}$ week and $\frac{5}{9}^{th}$ of the remaining in the $2^{nd}$ week. If there were 96 pages unread after $2^{nd}$ week. How many pages are there in the book ?

asked Nov 13, 2019 by priyanka.clay6

1 answer

A car travelling with $\frac{2}{3}$ rd of its actual speed, covers 42 miles in 1 hr 30 min 10 sec. What is the actual speed of the car ?

asked Nov 12, 2019 by priyanka.clay6

1 answer

In a certain marketing class, the final grades for each student is determined by deleting the lowest and highest test scores, then averaging the remaining test scores. Kathy took every test and achieved the following scores 71 , 82, 86, 91, 98, 73 and 94. Which of the following is closest to Kathy's final grade in the marketing class ?

asked Nov 12, 2019 by priyanka.clay6

1 answer

Mathew travelled a distance of 61 miles in 9 hours. He travelled partly on foot at 4 miles/hr and partly by bicycle at 9 miles/hr. What is the distance travelled on foot ?

asked Nov 12, 2019 by priyanka.clay6

1 answer

If $n$ is a positive integer such that $\frac{n !}{(n-2)!} = 342$, find $n.$

asked Nov 12, 2019 by priyanka.clay6

1 answer

$\begin{align} \frac{(x^a)^b}{x^cx^d} =x^y\end{align}$. Then $y=?$

asked Nov 11, 2019 by priyanka.clay6

1 answer

What is the $7^{th}$ term in the series given below ?

asked Nov 11, 2019 by priyanka.clay6

1 answer

Given above is a line segment, the ratio of $\overline{PQ}$ to the length of $\overline{QR}$ is $2:5$. If it be determined, what is the ratio of the length of $\overline{PQ}$ to the length $\overline{PR}$ ?

asked Nov 4, 2019 by priyanka.clay6

1 answer

The table below shows shipping charges for an online retailer that sells grocery items. Then is a linear relationship between the shipping charge and the weight of the merchandise which function can be used to determine the total shipping charge $f(x)$ in dollar,for an order with a merchandise weight of $x$ pounds ?

asked Nov 4, 2019 by priyanka.clay6

1 answer

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