ARITHMETIC REASONING PICAT EXAM QUESTIONS

PDF Download

ARITHMETIC REASONING PICAT EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -17 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: How many 5lb bags of apples can be made from 400 apples, each weighing 1/4 lb?

Answer:

- 1/4*400/1= 400/4

• 400/4= 20 5lb bags

Question 2: The pet store has six puppies selling for 104$ each and twelve kittens selling for 24$ each. Today only two puppies and eight kittens were left. In dollar terms what is the ratio of sales puppies to kittens?

Answer:

• Puppies: 6-2= 4 Kittens: 12-8= 4

- Puppies: $104

4= $416 Kittens: $24

4= $96

• Ratio: $416 : $96 (put this into simplest form)
• 416/8= 52 : 96/8= 12 Ratio: $52 : $12
• 52/4= 13 : 12/4= 3 Ratio: $13 : $3 (simplest form)

Question 3: A plumber has a car payment of $250 per month. $225 of which goes to paying off the principal, and the rest goes towards the interest. What percent is being payed for interest?

Answer:

- 250*.10= 25.00

- 250-25= 225

- interest: 10%

Question 4: There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes out one marble what is the probability that child got a green marble?

Answer:

- 9+6= 15

- 6/15= .4

• 40% chance the child gets a green marble

Question 5: Debra and Ian shared in a $1,000,000 estate. If Ian received $125,000 and Debra received the rest, what fraction did Debra receive?

Answer:

- 1,000,000/125,000= 8

• 125,000= 1/8 of 1,000,000

- 8/8-1/8= 7/8

Question 6: Area of a square

Answer:

a^2

Question 7: A box of nails weighs 1 5/6lb what is the weight of 12 boxes?

Answer:

- 1 5/6 = 11/6

- 11/6*12/1= 132/6

• 132/6= 22lbs

Question 8: If a 5ft pole casts a shadow of 8ft at the same time a nearby tree casts 48ft shadow.How tall is that tree?

Answer:

• 8ft/5ft = 48ft/x (cross multiply)
• 5

48= 240 & x 48= 48x

• 240= 48x
• 240/48= 30ft tall

Question 9: A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces. If two of the pieces of the pie were eaten what portion of the pie remains?

Answer:

• 8 pieces of the pie in total (2+2+4)

• 2 pieces were eaten
• 6 pieces are left

- 6/8 = 3/4

Question 10: If the perimeter of a square garden is 84ft what is the area?

Answer:

• square has 4 sides

- 84/4= 21

• Area of a square= a^2
• 21^2= 441sq ft

Question 11: How many ft of chain fence are necessary to enclose a dog pen that square and has an area of 64ft ?

Answer:

• Area of a square= a^2
• So the sq rt of 64=8
• Square has 4 sides= 8*4= 32

Question 12: A printing company will print 6,000 copies in 20mins. A second press can print 15,000 in 60mins. How many more copies per minute will the faster press print than the slower press?

Answer:

- Printing press 1: 6,000/20= 300 pages per min

- Printing press 2: 15,000/60= 250 pages per min

• 300-250= 50 pages per min

Question 13: 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 rectangle and has twice the volume of the first box.If the height of the second box is 5 units and the width is 10 units what is the length of the second box?

Answer:

- Square: 10

10

4= 400

- Rectangle: 400*2= 800

- Rectangle: 10*5= 50 50x= 800

- Rectangle length: 800/50= 16

Question 14: A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza?

Answer:

• You have 8 slices of pizza
• A person eats 1/2 of one slice
• To be equal you now have 16 slices (ea in halves)
• The person ate 1/16 of the pizza

Question 15: A woman is looking for a bigger square office. She finds an office twice the area of her current office. If the perimeter of her current office is 88ft. How many square ft is the new office?

Answer:

• Square has 4 sides

- 88/4= 22

• Area of a square a^2

- 22^2= 484

• Twice the area of current office 484*2= 968ft

Question 16: The population of a city increased by 25% in two years the new population is what percent of the old?

Answer:

• Assuming starting at 100%

- 100%+25%= 125%

Question 17: The price of salmon at a fish market is 5.40 per lb. This is 150% increase of its costs at a supermarket. How much would it cost per lb at the supermarket?

Answer:

- Fish market: $5.4 per lb

- Supermarket: 150% less than $5.40

- 5.4/1.5= 3.6

- Supermarket costs: $3.60 per lb