Arithmetic Reasoning PICAT Exam with Complete Solutions

A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land? - ANSWER-C. 1-1/2 hours The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24 each. Today, only 2 puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? - ANSWER-A. 13 to 3 There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability of that child getting a green marble? - ANSWER-B. .40 Each August, a restaurant's rent is adjusted to the cost-of-living index. The rent has been $1,550 a month, and the cost-of-living for this August was 3.7%. What is the new rent per - ANSWER-B. $1,607.35 If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters? - ANSWER-B. 4:1 If the perimeter of a square garden is 84 feet, what is the area of the garden? - ANSWER-D. 441 sq. ft. The price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at a supermarket. How much would it cost per pound at the supermarket? - ANSWER-B. $3.60 Jamie just bought two boxes. The first box is square, with each side measuring 10 units, and is 4 units high. The second box is rectangular and has twice the volume of the