ToAdd: Reasonability
From: http://onlinetests.petersonstestprep.com/petersontestprep/StudentQuestion.aspx
The price of fifteen limes is $9.00. Find the price of one lime.
9/15
A train car has 24.35 tons of cargo. What is the weight of the cargo in pounds?
24.35*2000
A skyscraper is drawn to scale on a sheet of paper. The height of the actual building is 1,350 feet. Find the height of the skyscraper on the sheet of paper if 1 inch on the paper is equivalent to 50 feet.
1350/50
There is a 3% increase in the cost of a car. If the original cost was $14,000, what is the new cost?
14000*1.03
If a barge can travel 16 miles in 5 hours, how far can it travel in 7 hours?
16/5*7
Tina’s salary is 130% of Spencer’s salary. If Spencer’s weekly salary is $1,500, what is Tina’s weekly salary?
1500*1.30
The area of the base of a rectangular tank is 3,000 square inches, and the volume of the tank is 324,000 cubic inches. Find the height of the tank in feet.
324000/3000/12
A photograph that is 2 1/2 inches by 4 3/8 inches is enlarged into a poster whose shorter side is 16 inches. What is the length of the poster’s longer side?
35/8 * 16 / 2.5
In a group of 32 musicians, 18 can play guitar, 22 can play piano, and 2 can play neither instrument. What fraction of the group can play both guitar and piano?
Well, 2/32 don't count, because they don't play anything. If there was no overlap, you would need 40 players to have 18 guitarists and 22 pianists. So 10/32 play, which reduces to 5/16.
Traveling at a speed of 42 miles per hour, a truck can travel a certain distance in 14 hours. In order to travel the same distance in 12 hours, the speed of the truck must be increased to
42/12*14
Peter borrowed $12,000, which he paid back after 4 years at a simple interest rate of 8%. Find the total amount that Peter paid back.
(1+0.08*4)*12000
Mary worked for a certain company for 4 years. At the end of each year, her salary was raised by 10%. If her starting salary was $30,000 per year, what was her salary after the fourth raise?
30000 * 1.1 * 1.1 * 1.1 * 1.1
When Lyle goes to the grocery store, he always leaves with 4, 5, or 6 bags of groceries. Each bag always weighs between 1 and 7 pounds. What is the difference between Lyle’s heaviest possible grocery purchase and his lightest possible grocery purchase?
Lightest = 1*4=4 lbs, heaviest = 6*7=42 lbs. 42-4
An architect makes a model of an office building in which 1 inch represents 18 feet. The dimensions of the model are 8 inches by 12 inches by 5 inches. What are the dimensions of the actual building?
8*18 12*18 5*18 (also, only one of the answers has all even values)
Abigail, Bart, and Cathy invested $2,400, $3,600, and $6,000 respectively to start a partnership business. At the end of the first year, the business earned a profit of 40% on the initial investment. The profit was taxed at the rate of 30%. The three investors shared the remaining profit, in amounts proportionate to their original investments. What was Cathy’s share of the remaining profit?
Just do 6000 * .4 * .7
Working together, Martin and Neil can paint a fence in 5 hours. After working together on a certain fence for 4 hours, Neil left the project. Martin finished the project by working alone for 3 hours. If Martin had painted the entire fence by himself, it would have taken him
1/5th the fence takes him 3 hours, so 3*5=15 hours.