GK Math

GK Math Questions And Answers Which of the following symbols should be placed in the box to form a true statement? Ans- -17-71 The following graph shows a company's sales since it engaged in a new growth strategy? Ans- The vertical axis is not scaled linearly If a student finishes all of the classwork, she gets to choose a prize from the treasure box. There are three bags of mints and four bags of chocolate in the treasure box. The student is not allowed to look inside the box before she picks her prize. What is the probability of her pulling a bag of mints from the treasure box? Ans- 3/7 A family's dinner bill at a restaurant amounted to $40.00 before a 5% tax was added to the bill. After the sales tax was added, the family left a 15% tip on the bill. Afterwards, they decided that the tip should have been 15% of just the dinner bill and not the total bill including tax. How much money would have been saved if they had left a tip only on the dinner bill? Ans- 0.30 A company has data on how a new device can increase the fuel economy of an automobile. The company claims that the device will improve fuel economy by 4 miles per gallon. The following table shows the test results for five cars. Which of the following statistical measure could the company use to support the advertised claim? Ans- Mode Two sport teams are tied, each having won five games and lost three. If one of the teams wins the next two games and the other loses the next two games, by how much will the teams' winning percentages differ? Ans- 20% 1/15 [ ] 0.0666 Ans- = 2 x [ 3 + (-2)ex2 + (4ex2 divided by -2) ex2] Ans- 142 A square pyramid has how many faces? Ans- 5 On a map, the distance between two particular cities is 7 ½ inches. If 5/8 inch represents 10 miles, what is the distance between the two cities, to the nearest mile? Ans- 120 miles Five tables are placed end to end to form one long rectangular serving table. Two of the tables are 5 feet and 4 inches long and the other three tables are 2 feet 4 inches long each. What is the total length of the serving table? Ans- 17 feet, 8 inches It takes a student 3 hours to paint a rectangular wall that measures 24 feet by 10 feet. Working at the same speed, how long should it take to paint a wall the measures 16 feet by 18 feet? Ans- 3 hours and 36 minutes (3.36) Find an algebraic expression equivalent to (-3XEX2-4X+5) - (8XEX2-2X-3) Ans- -11XEX2-2X+8 What is the median of the set data in the following sample? Ans- 14.5 There are 24 marbles in a bag. Nine are yellow and the rest are blue. If one marble is randomly selected, what is the probability that it will be blue? Ans- 5/8 A local newspaper conducted an online survey of visitors to its website to determine which of the two candidates would win an upcoming election. The following survey instruction was used. Which of the following best describes the most significant problem with this type of survey? Ans- Respondents may not represent the actual voting public A doctor performed a study on patients who had ant bites and patients who had tick bites. The doctor recorded the findings of his study in the following table. Which of the following statements can be made from the following data from the study? Ans- #3 and #4 (4+2 x 5) Divided 2 -3 Ans- 4 A potential employee inquired about the salary paid by a company. The interviewer responded with a number that would make salaries at the business sound high. Which measure of central tendency did the interviewer use? Ans- Mean Which of the following is an algebraic expression to 2(x+2y) - (x-6y) Ans- x+10y Solve for Y: 12y-7 18y-1 Ans- -1y The following is a distribution of scores achieved on a business aptitute exam by first year students at a Midwestern college. How many of the students scored at or above 660: Ans- 36 Find the rate of change in sale for both companies shown in the table. Ans- Both rate of range of $2 million/year Bird A Lays eggs having a mean mass of 61 grams with a standard deviation of 2 grams. Bird B lay eggs having a mean mass of 61 grams with a standard deviation of 5 grams. Which of the following can be concluded Ans- A. The eggs laid by Bird A tend to be closer to 61 grams in mass than those laid by Bird B After their children were married, Mr. and Mrs. Smith moved from a large home in the country where they consumed an average of 1500 KW of electricity at $0.08/KW. The family moved to a smaller house in the city where they use 800 KW at $0.1/KW. By what percent did the family reduce their electric bill? Ans- 33 1/3 Parking fees at the local airport are $9.00 per day. Individuals who use this service frequently are given the opportunity to purchase a monthly discount card for $20.00. With the discount card, the parking fee is reduced to $5.50 per day. If 'r' represents the number of days the parking lot is used, which of the following equations could be used to calculate when they options would cost the same amount and for how many days the cost will be the same, no matter which option is chosen? Ans- 9r = 28+5.50r; R = 8days A triangle that has an interior angle that measures 110 is best described as Ans- Obtuse Teachers' salaries range from $30,000 minimum through $60,000 maximum. If each teacher received a raise of $1,000, which of the following statements is true? Ans- The mean and the median have changed and the standard deviation remains the same Which of the following is the solution to the given equation? 5(w-2) - 3(2w+7)= 8w - 1 Ans- W= -10/3 Which of the following equations represents a function? Ans- Y= xex2+1 The perimeter of the following rectangle is 40cm. Which of the following expressions represents the perimeter of the rectangle? Ans- 2(2X - 3) + 2(x+2) = 40 Line A and Line B are determined by the following data tables. If both lines are graphed on the same coordinate plane, which of the following will be true concerning lines A and B? Ans- Lines A and B are intersecting but not perpendicular The following graph depicts the number of students who select certain career performance. What percentage of the students chose engineering as a career? Computer science 72, Medicine 36, Engineering 48, Law 44, and other 40 Ans- 20% A one day rental cost $14 dollars plus $0.25 for each mile over 20 miles. Which of the following graphs best represents the cost as a function of miles. Ans- Graph D Mr. Munn drove at an average rate 77 miles per hour for 8 hours without stopping. Mr. Kona drove the same distance in 11 ½ hours, stopping twice for 15 minutes at each stop. What was the average speed of Mr. Kona? Ans- 56 t= 35d +20. Let d represent the depth of km of rocks. Find the corresponding interpretation of the line at 35 Ans- As the depth of rock increases by 1km, the temperature increases by 35C (4 number lines to choose from QUESTION) Which of the following shows -20 -4x -4 Ans- 0--------------------------------------------0 5 1 The circle graph below indicates a yearly budget for a school district. The numerals in each category represent millions of dollars. Use the graph to answer the question that follows. Salaries: 40; Expenses: 16; maintenance: 4; security: 2; transportation: 8; New construction: 10 What category spent 20% of the school budget? Ans- Expenses Estimate the perimeter of the figure below. 1 [ ] is 1 square foot. Ans- 25 feet What number is the greatest Ans- 12.5 Angela's household budget is $900 per month. She wants to reduce her utility bills by 25. How much would she save on the average if present annual cost for utilities is 15% of her household budget. Ans- $101.25 A married couple who share a smart phone service plan each agreed to pay one half the base rate for the service plus their individual data usage. the base rate for one month of service is $82. In one month the total bill is $125. How much did one person have to pay if 60% of the data was theirs. Ans- $66.80 A family made up of two adults and three children, is planning a 3-day 2-nigh vacation. The hotel where they stayed charges $60 per night. The theme park they will visit costs $25 per person. The family will pay a total of $400 on gas, food, and souvenirs on the vacation. How much money will their vacation cost if they plan to spend 2 days at the theme park? Ans- $770 Simplify -10minus(3)ex2+8X3/12 Ans- -17 Simmplify 16/8x2-2ex3 Ans- -4 Simplify: -(5)ex2 minus (-2)ex3 Ans- -17 Select the quadrilateral that could possessthe two charact