Military

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1. Find the missing number in the sequence.

89, 108, 91, ____, 93

a. 106 --- answer

b. 110

c. 93

d. 104

Solution:

plus 19

minus 17

plus 15

minus 13

89 + 19 = 108

108 - 17 = 91

91 + 15 = 106

106 - 13 = 93

2. Solve the following equation.

1/4 + 1/5 - 1/6

a. 32/120

b. 27/60

c. 17/60 --- answer

d. 34/120

Solution:

find LCD = 60

15 + 12 - 10

--------------------------

27 - 10

------------

17/60

3. On Mila's birthday, she received three gift cards: $25, $30, and $50. If she uses her gift cards to buy shirts that costs $15.95 each, what is the maximum number of shirts she can buy?

a. 5

b. 6 --- answer

c. 7

d. 8

Solution:

total giftcards

= 25 + 30 + 50

= 105

max # of shirts

= 105/15.95

= 6

4. Rommel's midterm grades are 84, 90, 81, 92, 85.

What is his average grade for the term?

a. 84.6

b. 86.2

c. 86.4 --- answer

d. 87.4

Solution:

Average

84+90+81+92+85

-----------------------------

= 432/5

= 86.4

5. Which number below has the highest value?

a. 1/64

b. 256/16000

c. 2/127

d. 289/17000

Answer: d

Solution:

using manual division (no calculators allowed in CFAT)

1/64 = 0.0156

256/16000 = 0.016

2/127 = 0.0157

289/17000 = 0.017

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Friday, May 19, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps006

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1. Determine the value of the following equation.

6 + 15 * 6 + 4 - √144

a. 100

b. 96

c. 88 --- answer

d. 90

Solution:

using BEDMAS to determine the order of operations,

6 + 15 * 6 + 4 - √144

6 + 15 * 6 + 4 - 12

6 + 90 + 4 - 12

96 + 4 - 12

100 - 12

= 88

2. What is the value of x?

x - (1/8)x + 0.35 = 9

a. 8.98

b. 10.88

c. 8.99

d. 9.88 --- answer

Solution:

x - (1/8)x + 0.35 = 9

x - 0.125x + 0.35 = 9

0.875x = 9 - 0.35

0.875x = 8.65

x = 8.65/0.875

x = 9.88

3. Roberto works in a store with a salary of $15.25/hr. He worked 40 hours total for 5 days and 8 hours on the sixth day during a statutory holiday. If the hourly rate during a statutory holiday is twice the regular rate, how much is his total salary?

a. $854 --- answer

b. $845

c. $610

d. $548

Solution:

step 1:

solve regular pay for 5 days

= $15.25 x 40

= $610

step 2:

solve holiday pay on the sixth day

= $15.25 x 8 x 2

= 122 x 2

= $244

step 3:

calculate total pay

= 610 + 244

= $854

4. Erlinda is 31 years older than Jeane, who is 48 years old now. If Lauren is 37 years younger than Jeane, what is the age difference between Erlinda and Lauren?

a. 67

b. 68 --- answer

c. 86

d. 66

Solution 1:

age gap = 31 + 37

age gap = 68

Solution 2:

Jeane age now = 48

Erlinda = 48 + 31

Erlinda = 79

Lauren = 48 - 37

Lauren = 11

age difference between Erlinda and Lauren

= 79 - 11

= 68

5. The spare part of an engine needs to be shipped in a rectangular

box with a length of 36 inches. The width of the box is 1/3 of its length and the height is 3/4 of its width. What is the volume of the box in cubic inches?

a. 5,184

b. 8,838

c. 8,388

d. 3,888 --- answer

Solution:

length = 36 inches

width = 1/3 of length

width = 1/3 * 36

width = 36/3

width = 12 inches

height = 3/4 of width

height = 3/4 * 12

height = 36/4

height = 9 inches

Volume of box

= 36 x 12 x 9

= 3,888 cubic inches

***

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Friday, May 12, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps005

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1. Find the missing number in the series.

1, 1/2, 1/6, __, 1/120

a. 1/12

b. 1/24 --- answer

c. 1/18

d. 1/48

Solution:

Multiply the denominator by one more

1 x 1 = 1

1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

2. In a certain Calculus test, eight students failed. If the total of the students is 50, what is the success rate?

a. 80%

b. 82%

c. 84% --- answer

d. 86%

Solution:

step 1:

calculate how many students passed

passed = 50 - 8

passed = 42

step 2:

calculate % passed

% passed

= (42/50) * 100

= 0.84 * 100

= 84%

3. What is the answer to the following equation?

200 * 60 - 0.5 * 12,000 + 120/12

a. 12,010

b. 1,006

c. 6,100

d. 6,010 --- answer

Solution:

Using BEDMAS

we have 3 groups as shown by the parentheses

(200 * 60) - (0.5 * 12,000) + (120/12)

12,000 - 6,000 + 10

6,000 + 10

6,010

4. Harry is one year older than his wife Jane, who is five times older than their daughter Lauren. If the sum of the ages of Harry, Jane and Lauren is 111, how old is Lauren?

a. 10 --- answer

b. 11

c. 12

d. 9

Solution:

x = age of Lauren

5x = age of Jane

5x + 1 = age of Harry

111 = sum of ages

x + 5x + (5x + 1) = 111

6x + 5x + 1 = 111

11x = 111 - 1

11x = 110

x = 110/11

x = 10

5. Rolly has fully charged his battery-powered chainsaw to a full charge level of 40. In the morning, he used it to cut trees and the battery level was down to 5/8. In the afternoon, he used it again until the battery level was 1/5 of the level in the morning. What is the final battery charge level?

a. 25

b. 10

c. 5 --- answer

d. 15

Solution:

40 = full charge level

morning

= 40 x 5/8

= 200/8

= 25

afternoon

= 25 x 1/5

= 25/5

= 5

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Tuesday, May 9, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps004

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1. The total number of people in a certain Halifax class frigate is 240. If the number of non-commissioned members are 15 times more than the number of officers, find how many officers on board the ship.

a. 18

b. 20

c. 16

d. 15 --- answer

Solution:

x = officers

n = non-commissioned members

equation 1

x + n = 240

equation 2

n = 15x

substituting the value of n to equation 1,

x + n = 240

x + 15x = 240

16x = 240

x = 240/16

x = 15 officers

2. Six army cadets received 60 poppies to sell to raise funds for veterans. They received an additional 60% of what they were originally given. They gave 12 poppies to a group of navy cadets. If the army cadets were to split the total poppies, how much would each one get?

a. 13

b. 14 --- answer

c. 15

d. 16

Solution:

step 1:

find the total poppies of the army cadets

original = 60

additional

= 60% x 60

= 36

given to navy cadets

= 12

total

= 60 + 36 - 12

= 84

step 2:

divide the total by 6

poppies/army cadet

= 84/6

= 14 poppies

3. Aidan bought a refurbished I-phone with a 40% discount. He paid $498. What is the price of the Iphone without discount?

a. $199

b. $1254

c. $1245 --- answer

d. $1425

Given:

40% discount rate

$498 discounted

price

Solution:

Undiscounted Price

= Discounted Price /

Discount Rate

= $498/40%

= $498/0.40

= $1245

4. What is the missing number in the sequence?

240, 96, ____, 15.36

a. 38.4 --- answer

b. 43.8

c. 34.8

d. 84.3

Solution:

divide by 2.5

240/2.5 = 96

96/2.5 = 38.4

38.4/2.5 = 15.36

5. Find the missing number in the sequence.

1, 2, 5, ____, 677

a. 26 --- answer

b. 11

c. 10

d. 25

Solution:

Square then add 1

1^2 + 1 = 2

2^2 + 1 = 5

5^2 + 1 = 26

26^2 + 1 = 677

***

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CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps003

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1. A certain Filipino family has five children whose names are Ruby, Rogel, Virgie, Glory and Cesar. The oldest is Ruby who is 79 years old, a year older than Rogel. Rogel is two years older than Virgie, who is six years older than Cesar. If Cesar is four years younger than Glory, how old is Glory?

a. 72

b. 74 --- answer

c. 76

d. 78

Solution:

We are given the present age of Ruby of 79.

Rogel is 78

= a year older than Ruby

Virgie is 76

= Rogel is two years older than Virgie

Cesar is 70

= Virgie is six years older than Cesar

Glory is 74

= Cesar is four years younger than Glory

Ages of children:

Ruby 79

Rogel 78

Virgie 76

Glory 74

Cesar 70

2. A gardener in Vancouver Island has a water tank with a full capacity of 600 gallons. Using his solar powered pump, the gardener fills up the water tank halfway. He used 200 gallons to water his plants and then ran the pump and added 380 gallons. What is the percentage of the new level of water in the tank?

a. 50%

b. 60%

c. 70%

d. 80% --- answer

Solution:

600 gallons

water tank capacity

pump halfway

= 600 x 1/2

= 300 gallons

water plants

= 300 - 200

= 100 gallons left

in the tank

ran pump, + 380 gal

= 100 + 380

= 480 gallons

new level in tank

percent of new level

= (480 / 600) x 100%

= 80%

3. Find the missing number in the sequence.

12, 2, 34, ___, 56, 30

a. 24

b. 44

c. 12 --- answer

d. 36

Solution:

The second number is formed by multiplying the digits of the first number

12 = first #

1 x 2 = 2 = second #

34 = third #

3 x 4 = 12 = fourth #

56 = fifth #

5 x 6 = 30 sixth #

4. What is the next number in the sequence?

0.5000

1.2500,

_______,

3.0625

a. 1.1250

b. 2.1250 -- answer

c. 3.3125

d. 2.0625

Solution:

The number on the left of the decimal is increasing by one while the number on the right side of the decimal is being divided by two

5. A 300-gallon tank can be filled by 3 pumps in 30 minutes. How many pumps are needed to fillup a

1200-gallon tank in 1 hour?

a. 4

b. 5

c. 6 --- answer

d. 8

Solution:

step 1:

solve for the fill rate, gph (gallons per hour) of the 3 pumps

gph = 300 gal/0.5 hr

gph = 600 gal/hr

step 2:

solve for the number of pumps using ratio and proportion

3 pumps: 600 gal/hr

x pumps: 1200 gal/h

3/600 = x/1200

600 x = 3 * 1200

600 x = 3600

x = 3600/600

x = 6 pumps

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CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps002

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1. What is the missing number in the sequence?

86, ____, 20, 9

a. 40

b. 42 --- answer

c. 44

d. 46

Solution:

multiply the number on the right side by 2 and then add 2

20 x 2 = 40

40 + 2 = 42

2. In a garden, eight fig trees are planted in a straight line. The space between the fig trees is 8 feet. How far is the distance in feet from the first tree to the last?

a. 64

b. 60

c. 56 --- answer

d. 48

Solution:

multiply the number of trees by the spacing and then subtract 8 feet

= (8 x 8) - 8

= 64 - 8

= 56 ft

3. What is the result of the following?

(2 + 3)^2 ÷ 5 * 2 + 12

a. 14.5

b. 5

c. 12

d. 22 --- answer

Solution:

Following BEDMAS,

(2 + 3)^2 ÷ 5 * 2 + 12

= (5)^2 ÷ 5 * 2 + 12

= 25 ÷ 5 * 2 + 12

= 5 * 2 + 12

= 10 + 12

= 22

4. Calculate the value of h.

7h - 12 + h = 2h + 78

a. 15 --- answer

b. 16

c. 12

d. 8

Solution:

7h - 12 + h = 2h + 78

7h + h - 2h = 78 + 12

6h = 90

h = 90/6

h = 15

5. At a Walmart grocery store, Willy bought cherries at a cost of $3.79/lb. He paid a total of $14.40 for the cherries. How many pounds did he bought?

a. 8.3 lbs

b. 2.8 lbs

c. 3.8 lbs --- answer

d. 5.3 lbs

Solution:

$14.40/3.79 per lb

= 14.40/3.79

= 3.8 lbs

***

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CFAT Practice test questions with answers in PROBLEM SOLVING

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1. Pedro earned $150 in 8 hours. Juan earned $125 in 5 hours. Maria earned $140 in 7 hours. Martha earned $135 in 6 hours. Who has the highest pay per hour?

a. Pedro

b. Maria

c. Martha

d. Juan answer

Solution:

Pedro = 150/8

Pedro = $18.75 /hr

Juan = $125/5

Juan = $25 /hr

Maria = 140/7

Maria = $20 /hr

Martha = 135/6

Martha = $22.50 /hr

2. If 4x = y + 4 and

y * 6 = 168, what is x?

a. 6

b. 7

c. 8 answer

d. 9

Solution:

step 1:

in the second equation, we can solve for y

y * 6 = 168

y = 168/6

y = 28

step 2:

substitute y = 28

in the first equation

4x = y + 4

4x = 28 + 4

4x = 32

x = 32/4

x = 8

3. If the numerator of a certain fraction is increased by 200% and its denominator increased by 300%, the resulting fraction is 9/64. What is the original fraction?

a. 1/16

b. 3/16 answer

c. 3/32

d. 1/8

Solution:

let x = numerator

let y = denominator

step 1: solve for x

x + 200% x = 9

x + 2x = 9

3x = 9

x = 9/3

x = 3

step 2: solve for y

y + 300% y = 64

y + 3y = 64

4y = 64

y = 64/4

y = 16

original fraction

x/y = 3/16

4. Five sailors went to a restaurant in Hawaii. The restaurant offered 25% discount on all sandwiches. Each of the three sailors ordered chicken sandwich while the other two sailors each ordered tuna sandwich. All of the sailors ordered special Hawaiian $5 juice as beverage. If a chicken sandwich costs $10 and tuna sandwich costs $8, how much was their total bill?

a. $59.50 answer

b. $60.50

c. $58.50

d. $57.50

Solution:

chicken sandwich

= 3 x $10

= $30

tuna sandwich

= 2 x $8

= $16

subtract 25% discount on all sandwiches

total food

= ($30 + $16) x 75%

= $34.50

total beverage

= 5 x $5

= $25

total bill

= 34.5 + 25

= $59.50

5. Find the missing number in the series.

1, 4, 27, ____, 3125

a. 252

b. 254

c. 256 answer

d. 258

Solution:

1^1 = 1

2^2 = 4

3^3 = 27

4^4 = 256

5^5 = 3125

***

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