Recent questions and answers in Problem solving and Data Analysis

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 ?

answered Jun 1, 2020 by pkwasi1

2 answers

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, $14\%$ are parents of the students, $48\%$ are teachers from the current high school, $28\%$ are school and district administrators and the remaining $8$ individuals are students. How many more teachers were invited to join the committee than school and district administrators ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

A tank can be filled by one tap in 4 hours and another tap in 6 hours. How long will it take to fill the tank if both taps are opened together ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

A godown measures : $40\; ft \times 25 \;ft \times 15\;ft$. What can be the maximum number of wooden crates each measuring $1.5 \;ft \times 1.25 \;ft \times 0.5 \;ft$ that can be stored in godown ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

Simplify : $(5\sqrt{2})^2 - (6\sqrt{3})^2$

answered Jan 11, 2020 by priyanka.clay6

1 answer

The total area of a city in Michigan is $102.1$ square miles of which $13.1$ square miles is water. If the city had a population of $621,000$ people in the year $2012,$ which of the following is closest to the population density in people per square mile of land area, of the city at that time ?

answered Jan 11, 2020 by priyanka.clay6

1 answer

During performing the experiment to find out the Latent heat of fusion ice, in a laboratory, when ice began to melt, the temperature remains at $0^{\circ}C$ the liquid water that is formed with latent heat of fusion is also at $0^{\circ}C$. Which of the following graph represents this latent heat of fusion ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

Jack found a watch which was worth $\$540$ had an offer for sale at $\$450$ during Thanks giving. What percent discount is offered during the sale?

answered Jan 9, 2020 by priyanka.clay6

1 answer

Allen sells stationery items in his shop. Since the sales was going on in a very slow process, he decreased the prices of the products by $10\%$. There by the number of products sold increased by $30\%$. What is the increase in the total revenue ?

answered Jan 9, 2020 by priyanka.clay6

1 answer

The $n^{th} $ term of a sequence is $7(n+5)$. What is the $100^{th}$ term ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

The $n^{th}$ term of a sequence is $7(n+5 )$ . What are the first four terms ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

In a toy company , it required 36 machines to produce a certain number of car toys in 54 days . How many machines would be required to produce the same number of car toys in 81 days ?

answered Jan 8, 2020 by priyanka.clay6

1 answer

The graph below represents number of families with different number of members in a locality. Read the bar graph given carefully and answer the following question.

answered Jan 8, 2020 by priyanka.clay6

1 answer

The graph below represents number of families with different number of members in a locality. Read the bar graph given carefully and answer the following question.

answered Jan 8, 2020 by priyanka.clay6

1 answer

If $a=0.999,$ which of the following is less than $a$?

answered Jan 7, 2020 by priyanka.clay6

1 answer

For any positive integer $n,\;n!$ mean the product of all, integer from $1 $ to $n$. What is the value of $\large\frac{1}{5!} + \frac{1}{4!}$

answered Jan 7, 2020 by priyanka.clay6

1 answer

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

answered Jan 6, 2020 by priyanka.clay6

1 answer

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

answered Jan 6, 2020 by priyanka.clay6

1 answer

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

answered Jan 6, 2020 by priyanka.clay6

1 answer

If $x^{y/4}=81,$ what is the value of $b$? Where $x$ and $y$ are positive integer.

answered Jan 5, 2020 by priyanka.clay6

1 answer

$3(3\sqrt{3} \times 2\sqrt{2}) =$

answered Jan 5, 2020 by priyanka.clay6

1 answer

Volumes of two spheres are in the ratio $2:3$, what can be the ratio of their radii ?

answered Jan 3, 2020 by priyanka.clay6

1 answer

Which of the following values is equivalent to $(125)^{4/3}?$

answered Jan 1, 2020 by priyanka.clay6

1 answer

Horse power and watts are units of power. They are directly proportional such that 5 horse power is equal to 3730 watts. How much power in watts is equal to 2 horse power ?

answered Dec 22, 2019 by priyanka.clay6

1 answer

Rhoda can type 600 words in 15 minutes.She has to complete typing a article which has 1080 pages. How long will she take to complete a article ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

The graph above shows the size of shoes worn by different students belonging to a school. What is the total no. of the students in the school ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

The graph above shows the size of shoes worn by different students belonging to a school. What is the difference in the number of students wearing shoe number 7 and shoe number 5 ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

The graph below shows the size of shoes worn by different students belonging to a school. Which shoes number is worn by the minimum number of students ? Also give its numbers

answered Dec 19, 2019 by priyanka.clay6

1 answer

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain fruit drink which was artificially flavored . The 200 people were given a sample of drink and then asked whether they liked or disliked of those surveyed $95\%$ said they disliked the drink. Which of the following inference can appropriately be drawn from this survey result ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

The roof of a building which in the form of a rectangle has dimensions $22\;m \times 20\;m$ drains the rain water into cylindrical vessels having diameter of base $2\;m$ and height $3.5\;m.$ If the rain water collected from the roof just fills the cylindrical vessel, then the rainfall in $cm$ is

answered Dec 19, 2019 by priyanka.clay6

1 answer

What is the probability that a number selected at random from the numbers $1,2,3,2,3,4,4,3,4,4$ will be their average ?

answered Dec 19, 2019 by priyanka.clay6

1 answer

A cylinder, cone and a sphere are of the same radius and same height. Find the ratio of their curved surface areas.

answered Dec 18, 2019 by priyanka.clay6

1 answer

If $y=kx$ where $k$ is a constant and $y=81$, when $x=3$, what is the value of $y$ when $x=5$ ?

answered Dec 18, 2019 by priyanka.clay6

1 answer

The distance-time graph above, shows the position of an object at different times. Calculate the speed of the object as it moves from A to B.

answered Dec 18, 2019 by priyanka.clay6

1 answer

Maria has a swimming pool which is in the shape of a circle of radius 8 cm. She wants to lawn around it as shown in the figure. Find the area of the lawn.

answered Dec 18, 2019 by priyanka.clay6

1 answer

Simplify $\large\frac{(8x^6y^{-3})^{1/3}}{(2xy)^3}$

answered Dec 16, 2019 by priyanka.clay6

1 answer

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

answered Dec 16, 2019 by priyanka.clay6

1 answer

A group of students are tracking a friend Smith who is riding a Ferris wheel. They know that Smith reaches a maximum height of 11 m at 10s and reaches a minimum height of 1m at 55s. Which of the following graph represents this ?

answered Dec 14, 2019 by priyanka.clay6

1 answer

At a restaurant, $p$ cups of coffee are made by adding $k$ milk pouches to hot water. If $k=n+2,$ how many additional bags are needed to make each additional cup of coffee ?

answered Dec 13, 2019 by priyanka.clay6

1 answer

Amanda drives the first 300 miles of a trip at 50 miles/hr. How fast does she have to drive in mile/hr, on the final 200 miles of the trip if the total time of the trip is equal to 8 hours ?

answered Dec 13, 2019 by priyanka.clay6

1 answer