Numerical Reasoning Test
A numerical reasoning test is a form of psychometric assessment commonly used in the application stages of the recruitment process. It is specifically designed to measure a candidate’s numerical aptitude and their ability to interpret, analyze, and draw conclusions from sets of data.
They’re often used in conjunction with other psychometric tests, including verbal reasoning tests, personality tests, and situational judgment tests.
Unlike standardized maths tests, which demonstrate a student’s ability to learn and apply mathematical techniques based on a set syllabus, numerical reasoning tests reflect how successfully a candidate can apply numerical understanding in a realistic context.
General arithmetic, percentages, fractions, and averages are all common elements of a numerical reasoning test, but its main focus is statistical information. Candidates are required to work with graphs, tables, and charts to identify key facts and figures and apply the correct logic to form an answer in response to a worded question.
FREE Excel Assessment Test PDF
Download Free Excel Assessment Test PDF EBook  34 page work book with 10 Sample Questions from the real Excel PreEmployment Exam. Answers and explanations included!!!
You may be required to sit a numerical reasoning test if you’re applying for a job in a numeracybased sector, such as finance or insurance. That said, they are increasingly common for any role that involves a level of data interpretation or numerical analysis, including marketing and HR.
How to Pass Numerical Reasoning Job Test: Questions and Answers
Top 50 Numerical Reasoning Job Test: Questions and Answers
A) 53
B) 57
C) 59
D) 60
The correct answer is: (D) 60
 If Jack is charged more than $30.00, that means he spent at least 45 minutes calling.
 To find the total amount of time, subtract $30.00 from the total $41.25 bill to get $11.25.
 Then divide $11.25 by $0.75 (the cost of each additional minute after the 45minute mark).
 $11.25 ÷ $0.75 = 15, meaning 15 more minutes of calling after the initial 45 minutes.
 45 + 15 = 60.
11, 19, 16, 19, 21, 19, __
A) 24
B) 26
C) 37
D) 42
The correct answer is: (B) 26
 This sequence may seem impossible and completely illogical at first, with seemingly no pattern connecting the numbers. However, try looking at the sequence again but this time disregard the 19’s:
 11, 19, 16, 19, 21, 19, __
 Do you see it now? The 19’s are just a red herring meant to distract you from the numbers in between, which are just increasing by five, and 21 + 5 = 26.
A) 47
B) 51
C) 53
D) 58
The correct answer is: (B) 51
 Total distance traveled = 867 miles
 Total time spent traveling:
 3:00 PM to 12:00 AM = 9 hours;
 12:00 AM to 8:00 AM = 8 hours.
 9 hours + 8 hours = 17 hours.
 Average speed = miles per hour
 Miles per hour = (total miles ÷ total time):
 867 miles ÷ 17 hours = 51 miles per hour
A) 4
B) 5
C) 6
D) 7
The correct answer is: (A) 4
 During his first 10 minutes of jogging, Vincent went 6 MPH, meaning that he ran at a rate of 6 miles every 60 minutes, or 1 mile every 10 minutes (60 ÷ 6 = 10). Since we know he ran for 10 minutes, we also know that he covered 1 mile over this period.
 During his next 20 minutes, Vincent walked at a rate of 3 MPH, or 3 miles every 60 minutes, or 1 mile every 20 minutes (60 ÷ 3 = 20).
 If he walked at a rate where he would have covered a mile every 20 minutes and walked for a duration of 20 minutes, this means that he walked 1 mile.
 1 mile + 1 mile = 2 miles covered in 30 minutes
 We are looking for his rate of miles per hour, and if Vincent went 2 miles in 30 mins, he would have traveled 4 miles in 60 mins.
A) 4
B) 5
C) 6
D) 7
The correct answer is: (A) 4
 During his first 10 minutes of jogging, Vincent went 6 MPH, meaning that he ran at a rate of 6 miles every 60 minutes, or 1 mile every 10 minutes (60 ÷ 6 = 10). Since we know he ran for 10 minutes, we also know that he covered 1 mile over this period.
 During his next 20 minutes, Vincent walked at a rate of 3 MPH, or 3 miles every 60 minutes, or 1 mile every 20 minutes (60 ÷ 3 = 20).
 If he walked at a rate where he would have covered a mile every 20 minutes and walked for a duration of 20 minutes, this means that he walked 1 mile.
 1 mile + 1 mile = 2 miles covered in 30 minutes
 We are looking for his rate of miles per hour, and if Vincent went 2 miles in 30 mins, he would have traveled 4 miles in 60 mins.
A) $35
B) $45
C) $50
D) $75
The correct answer is: (C) $50
 Monthly salary = $1,500
 Half of the monthly salary (1500 ÷ 2= 750) or $750, go towards bills.
 A third of total bills ($750 ÷ 3 = $250) or $250 goes towards utility expenses.
 A fifth of his total utility expenses ($250 ÷ 5 = $50) or $50 goes specifically towards heating bills.
A) $800
B) $1,200
C) $1,450
D) $1,650
The correct answer is: (B) $1,200
 Hugh’s first option would have cost him $14,800.
 On the other hand the second option, which he decided to use, cost him $600 up front + $15,400 in monthly payments ($350 per month x 44 months = $15,400). $600 + $15,400 = $16,000.
 Hugh’s second option, $16,000, cost him $1,200 more than his first option, $14,800 ($16,000  $14,800 = $1,200).
2, 4, 12, 48, 240, __
A) 1,200
B) 1,250
C) 1,360
D) 1,440
The correct answer is: (D) 1,440
 Next Number Calculation Formula:
 n = Position of number in sequence (e.g. 1,2,3 )
 Next Number = Prev Number x (n+1)
 The first number, 2, is multiplied by 2; the second number is multiplied by 3; the third number is multiplied by 4, and so on. For example:
 2 x (1+1) = 4
 4 x (2+1) = 12
 12 x (3+1) = 48
 48 x (4+1) = 240
 240 x (5+1) = 1,440
A) $101,200
B) $102,000
C) $103,333
D) $104,480
The correct answer is: (A) $101,200
 Initial salary = $80,000
 First raise increases her salary by 15%
 $80,000 x 1.15 = $92,000
 Second raise increases her new salary ($92,000) by 10%
 $92,000 x 1.1 = $101,200
*Hint: 1 lb = 0.454 kg*
A) 18.879
B) 19.047
C) 20.412
D) 21.462
The correct answer is: (C) 20.412
 On the first day, she bought 36 lbs of watermelon
 On the second day, she purchased ¼ of the amount that she got on the first day.
 36 ÷ 4 = 9. This means that she purchased 9 lbs of watermelons on the second day
 Therefore, she purchased 45 lbs of watermelons over the course of two days: 36 + 9 = 45 lb
 1 lb = 0.454 kg
 45 * 0.454 kg = 20.412 kg
1, 4, 9, 16, __
A) 21
B) 23
C) 25
D) 26
The correct answer is: (C) 25
 Identify the pattern
 Next Number – NN
 Previous Number  PN
 NN= Number Count 2
 Calculating the Next Number
 1^2 = 1
 2^2 = 4
 3^2 = 9
 4^2 = 16
 5^2 = 25
A) 30%
B) 40%
C) 52%
D) 70%
The correct answer is: (C) 52%
 Earnings 100% , Rent 30%
 Cost of dishwasher purchase is 40% less than what was spent on the rent
 30% x (1  0.40) = 30% x 0.6 = 18 %
 Spent on the rent and dishwasher total
 30% + 18% = 48%
 100%  48% = 52%
 John had leftover 52 % of his last month's earnings
1, 8, 22, 50, __
A) 96
B) 106
C) 116
D) 126
The correct answer is: (B) 106
 Formula calculating next number
 Next Number – NN
 Previous Number  PN
 NN= PN + 6 + PN = 2*PN + 6
 Calculating the following number
 1 + 6 + 1 = 8
 8 + 6 + 8 = 22
 22 + 6 + 22= 50
 2 * 50 + 6 = 106
A) 10%
B) 40%
C) 43%
D) 140%
The correct answer is: (C) 43%
 If original speed is 1, then
 Initial speed increase
 1 x 1.3 = 1.3
 The total increase in speed
 1.3 x 1.1=1.43
1, 5, 13, 29, ___
A) 51
B) 61
C) 73
D) 83
The correct answer is: (B) 61
 Identifying the pattern:
 Next Number – NN
 Previous Number – PN
 Number Count = Number in Pattern
 NN= PN + 2 (Number Count)
 Calculating the next number:
 1 + 22= 1 + 4 = 5
 5 + 23= 5 + 8 = 13
 13 + 24= 13 + 16 = 29
 29 + 25= 29 + 32 = 61
A) $1,700.00
B) $1,875.00
C) $2,250.00
D) $2,875.00
The correct answer is: (C) $2,250.00
 Understanding the problem
 First $1000.00 – 0% Import Tax, then 7%, Bob paid $87.5 of Import Tax
 What amount was taxed
 $87.5 / 7% = $x / 100%
 x = $87.5 x 100% / 7%
 x = $1,250.00
 Total Value of the imported goods
 $1000 + $1,250 = $2,250.00
2, 5, 8, 11, __
A) 12
B) 13
C) 14
D) 15
The correct answer is: (C) 14
 Identifying the pattern
 Next Number – NN
 Previous Number  PN
 NN= PN + 3
 Calculating Next Number
 2 + 3=5
 5 + 3 = 8
 8 + 3 =11
 11 + 3 = 14
A) 5.0%
B) 7.2%
C) 8.1%
D) 145%
The correct answer is: (C) 8.1%
 First Exchange Rate
 EUR300=$580
 ER1=EUR/$=580/300=1.93
 Second Exchange Rate
 EUR440=919.60
 ER2=EUR/$=919.6/440=2.09
 Percent change of the Exchange Rate
 2.091.93=0.1566
 Percentage Increase in the exchange rate 0.1566/1.93 x 100=8.1
4, 12, 36, 108, __
A) 310
B) 314
C) 320
D) 324
The correct answer is: (D) 324
 Identifying the pattern
 Next Number – NN
 Previous Number  PN
 NN= PN x 3
 Calculating Next Number
 4 x 3 = 12
 12 x 3 = 36
 36 x 3 = 108
 108 x 3 = 324
0, 1, 8, 27, 64, __
A) 85
B) 101
C) 115
D) 125
The correct answer is: (D) 125
 Identify the patern
 Next Number – NN
 Previous Number  PN
 NN= Number Count 3
 Calculating the Next Number
 1^3 = 1
 2^3 = 8
 3^3 = 27
 4^3 = 64
 5^3 = 125
A) 5
B) 7
C) 8
D) 9
The correct answer is: (B) 7
 The box can’t have more than one of the yellow marbles, because if there were two then there would’ve been 14 of the green.
 There’s one yellow marble
 There’re seven green marbles 1 x 7 = 7
 The number of the orange marbles
 15 total – 1 yellow – 7 green = 7 orange marbles
The first and second bookshelves together have 80 books. The first and third bookshelves together have 60 books. The second and third bookshelves together have 40 books.
A) 1st  40 2nd  40 3rd  20
B) 1st  50 2nd  30 3rd  10
C) 1st  30 2nd  50 3rd  10
D) 1st  55 2nd  25 3rd  15
The correct answer is: (B) 1st  50 2nd  30 3rd  10
 The number of books on all three shelves doubled
 80 + 60 + 40 = 180
 Then the number of books on all three shelves
 180 / 2 = 90
 The number of books on the first shelf
 90 – 40 = 50
 The number of books on the second shelf
 90 – 60 = 30
 The number of books on the third shelf
 90 – 80 = 10
A) 1000
B) 2793
C) 2893
D) 2993
The correct answer is: (C) 2893
 First nine numbers have only one digit
 9 x 1 = 9
 From 10 to 99 numbers have two digits
 90 x 2 = 180
 From 100 to 999 numbers have three digits
 3 x 900= 2700
 1000 has four digits
 Total number of digits to write
 9 + 180 + 2700 + 4 = 2893
A) 10 chickens 5 cows
B) 11 chickens 4 cows
C) 12 chickens 3 cows
D) 13 chickens 2 cows
The correct answer is: (C) 12 chickens 3 cows
 If the farmer had only chickens then they’d have 30 legs altogether
 15 chickens x 2 legs/chicken = 30 legs
 36 legs – 30 legs = 6 legs
 Cows have 4 legs, so extra 6 legs belong to cows
 6 / 2 = 3 cows
 3 x 4 legs = 12 legs belongs to 3 cows
 15 heads total – 3 cow’s heads = 12 chicken’s heads
A) 1 day  10, 2 day  20, 3 day  10
B) 1 day  15, 2 day  15, 3 day  10
C) 1 day  10, 2 day  25, 3 day  5
D) 1 day  15, 2 day  20, 3 day  5
The correct answer is: (D) 1 day  15, 2 day  20, 3 day  5
 3rd day they walked x miles
 1st day they walked 3x miles
 2nd day they walked (3x + x) miles
 Total they walked 40 miles
 3x + (3x + x) + x =40
 x = 40 / 8 = 5
 First day 3 x 5 = 15 miles
 Second day 15 + 5 = 20 miles
 Third day 5 miles
A) 6
B) 8
C) 9
D) 12
The correct answer is: (C) 9

This problem needs to solved from the end

6 x 4 / 3 + 2 – 1 = 9


Checking if it’s correct

(9 + 1 – 2) x 3 / 4 = 6

A) 74
B) 76
C) 82
D) 86
The correct answer is: (C) 86
 Four people together are 70 years old
 In four years each one of them would be four years older
 Since the family has four members the total age increase of the family
 4 members x 4 years = 16 years
 The total age of the family in four years
 70 + 16 = 86
A) 90
B) 55
C) 45
D) 25
The correct answer is: (D) 25
 Both, first and second numbers can be 1, 3, 5, 7, 9
 Five possibilities for each digit
 The total possibilities of the two digits number where both digits are odd between 1 and 100
 5 x 5 = 25
 Please look at the table diagram in the left top corner for a visual reference explaining this problem
A) 4, 8, 16
B) 3, 6, 13
C) 5, 10, 20
D) 2, 4, 8
The correct answer is: (A) 4, 8, 16
 The sum of ages of all three sisters is 28 years
 The age of the little sister is Y
 The age of the middle sister is (2 x Y)
 The age of the oldest sister is 2(2 x Y)
 Y + 2 x Y + 2 x (2 x Y) = 28
 7 x Y = 28
 Y = 28 / 7
 Y = 4
 The youngest sister is 4 years old
 The middle sister is 8 years old
 The oldest sister is 16 years old
A) 100
B) 105
C) 1000
D) 1050
The correct answer is: (D) 1050
 There’re 20 numbers that end on 0 or 5 from 1 to 100
 5, 10, 15, 20, ….. 95, 90, 95, 100
 The opposite numbers can be paired
 5 + 100 = 105
 10 + 95 = 105
 15 + 90 = 105
 There’re ten pairs, so the sum of all the numbers
 10 x 105 = 1050
A) Sausage and Eggs
B) Burger
C) Chicken Salad
D) Soda
The correct answer is: (A) Sausage and Eggs
 Revenue is calculated:
 Price * Number of items sold
 Complete calculations for the day in question
 Sausage and Eggs have the largest revenue
A) older 50, younger 50
B) older 55, younger 45
C) older 60, younger 40
D) older 70, younger 30
The correct answer is: (D) older 70, younger 30
 Since both brothers have the same number of baseball cards totaling 100 cards, then each brother has
 100 / 2 = 50
 Initially, the older brother had
 50 + 20 = 70
 The younger brother had
 50 – 20 = 30
The pitcher has three times more water than the coffeemaker, while the coffeemaker has 12 cups less water than the pitcher.
A) 12
B) 18
C) 20
D) 28
The correct answer is: (B) 18
 The pitcher has three times more of water than the coffeemaker P = 3 x C
 The coffeemaker has 12 cups less water than the pitcher
 C = P  12
 P = C + 12
 3 x C = C + 12
 C= 12 / 2 = 6
 The coffeemaker has 6 cups of water
 The pitcher has 12 + 6 = 18 cups of water
A) 5 years
B) 6 years
C) 9 years
D) 12 years
The correct answer is: (B) 6 years
 A sum of ages of all three kids
 13 + 10 + 6 = 29
 The difference of the father’s age and kids’ ages sum
 41 – 29 = 12
 Every year the kid's age would increase by 3, while fathers’ age by 1
 31 = 2
 The father’s age would be the same as the sum of his kid's ages
 12 / 2 = 6 years
 (13+10+6)+3X=41+X, 29+2X=41, 2X=12, X=6
A) 60, 20, 10
B) 55, 25, 10
C) 50, 30, 10
D) 55, 25, 15
The correct answer is: (C) 50, 30, 10
 Three people are a grandfather who’s also a father G, a son who’s also a father F, and a son who’s also a grandson S
Sum of all three ages twice (G + F) + (F + S) + (G + S)= 80 + 40 + 60 = 180
 Sum of all three ages
 180 / 2 = 90
 Age of the grandson
 90 – (G + F) = 90 – 80 = 10
 Age of the father
 F + S = 40 F=40 – 10 = 30
 Age of the grandfather
 G + F = 80 G= 80 – 30 = 50
A) 2050
B) 3050
C) 4050
D) 5050
The correct answer is: (D) 5050
 There are 50 pairs of numbers from 1 to 100
 The sum of the first and the last number
 1 + 100 =101
 The next additions
 2 + 99 = 101
 3 + 98 = 101
 4 + 97 = 101
 The sum of all numbers for 50 pairs
 101 x 50 = 5050
A) 48.3%
B) 55.3%
C) 58.2%
D) 60.8%
Correct Answer is: (C) 58.2%
 Environmental pollution of Chemical Industry is 34.5% and Cement Industry is 21.8%
 hemical Industry pollution compared to Cement Industry = 34.521.8 = 12.7 Percentage value = (12.7 / 21.8) * 100% = 58.2%
A) Equatex
B) Entorix
C) Bantova
D) Alario
Correct Answer is: (A) Equatex
 It seems Entorix, Bantova, and Alario have good stable profits. Therefore investing in those companies will be a good decision.
 But Equatex is always increasing its profit from the first quarter to the end. Therefore Equatex has good possibility to increase the profit in long term Investing
A) 9:5
B) 3:2
C) 7:4
D) 5:3
The Correct Answer is: (A) 9:5
 Percentage of the tax from IT sector is 27% and Agriculture sector is 15%
 Ratio between IT and Agriculture = 27 : 15 = 27/3 : 15:3 = 9:5
A) Equatex and Entorix
B) Entorix and Bantova
C) Bantova and Alario
D) Alario and Equatex
Correct Answer is: (D) Alario and Equatex
 We’ll calculate (profit/cost)% for all the 4 companies. Profit = Revenue  Cost
 Equatex: {(1510)/10} * 100% = 50%
 Entorix: { (5040)/40} * 100% = 20%
 Bantova: {(2520)/20} * 100% = 25%
 Alario: {(4025)/25} * 100% = 60%
A) 150%
B) 200%
C) 300%
D) 100%
The Correct Answer is: (D) 200%
 Retail sale in 2018 = $20M and Online sale in 2018 = $60M
 Growth of online sales in 2018 compared to retail sales = {(60  20)/20} * 100% = 200%
A) $250
B) $100
C) $200
D) $175
The Correct Answer is: (C) $200
 Expense different between Rent and Food = 25%  20% = 5%
 Amount of the difference = (5 / 100) * $4000 = $200
A) $1500
B) $750
C) $1000
D) $500
Correct Answer is: (A) $1500
 Half of the space is equal to (25 * 60) / 2 = 750
 Rent for 750 squarefeet = 750 * $20 = $1500
A) $18000
B) $20000
C) $24000
D) $30000
The Correct Answer is: (C) $24000
 Cost of Apple phones = (22 / 100) * $200000 = $44000
 Cost for Samsung phones = (10 / 100) * $200000 = $20000
 Cost difference = $44000  $20000 = $24000
A) 50%
B) 75%
C) 80%
D) 85%
Correct Answer is: (B) 75%
 Increment = 70M  40M = 30M.
 Percentage of the increment compared to 2012 = (30/40) * 100% = 75%
 Revenue for Facebook in 2018 is $70M and in 2012 it is $40M.
A) 40%
B) 22%
C) 30%
D) 25%
Correct Answer is: (C) 30%
 There is a total number of 50 companies in the chart. 11 + 4 = 15 companies provide their service to the both Agriculture and Chemical sectors.
 Therefore the percentage = (15 / 50) * 100% = 30%
About the Author
Vadim Mikhailenko, MBA
Vadim lives in Milwaukee, Wisconsin and works as an Information Technology Consultant, Coach and Educator. Vadim is very passionate about Milwaukee community and teaches classes to underprivileged students at local community college to help them get employed. Throughout his consulting career Vadim studied a lot of tools and technologies and learned hiring process by helping organizations to hire candidates and also supported students to get prepared and to pass interview and assessment tests.
Vadim loves to share his knowledge with and enjoys teaching new skills to help you get hired for your dream job.
Next Steps
Below are other relevant resources available on the topic you can consider them to accelerate your learning
[PDF EBook Download] Top 50 Numerical Reasoning Assessment Test Questions and Answers
Top 50 Numerical Reasoning Assessment Test Questions and Answers is everything you need to get ready for Numerical Reasoning Assessment Test. Numerical Reasoning Tests generally focuses on a number numerical skills which have day to day use in virtually every office place across every field, including; addition, subtraction, multiplication, division, averages, percentages, and Ratios. It also ensures that candidate has a good grasp and can solve business problems, using the data presented to help make business decision for the organization. In addition to the practice questions and answers in this PDF EBook you will also learn about strategies to successfully pass Assessment Test, most efficient ways to get prepared, time management tips for exam preparations, tips and tricks to answer different types of questions and much more.
Download FREE Excel Assessment Test PDF
Download Free Excel Assessment PDF EBook  34 page work book with 10 Sample Questions from the real Excel PreEmployment Exam. Answers and explanations included!!!