# Sample Numerical Reasoning Questions

Information is provided that requires you to interpret it and then apply the appropriate logic to answer the questions. In other words, you need to work out how to get the answer rather than what calculations to apply. Sometimes the questions are designed to approximate the type of reasoning required in the workplace.

The questions will often use number series questions which represent the most popular type of numerical reasoning questions. Numerical reasoning questions are very commonly used in graduate and managerial selection. You can usually expect 15-20 questions in 20-30 minutes.

Sample Numerical Reasoning Questions

Identify the missing number at the end of the series.

1. 3, 11, 19, 27, ?

• A) 33

• B) 35

• C) 37

• D) 39

• E) 41

2. 3, 6, 11, 18, ?

• A) 24

• B) 25

• C) 26

• D) 27

• E) 28

3. 516, 497, 478, 459, ?

• A) 436

• B) 440

• C) 438

• D) 452

• E) 442

4. 33, ?, 19, 12, 5

• A) 31

• B) 26

• C) 29

• D) 27

• E) 24

5. 11, 19, ?, 41, 55

• A) 31

• B) 29

• C) 26

• D) 39

• E) 34

6. 98, 94, ?, 70, 38

• A) 89

• B) 85

• C) 86

• D) 87

• E) 88

7. Identify the missing number: 7&5, 6&4, 49&25, 16&?

• A) 41

• B) 36

• C) 35

• D) 18

• E) 37

8. Identify the missing number: 4&35, 4&6, 11&73, 34&?

• A) 51

• B) 56

• C) 45

• D) 55

• E) 52

9. It costs a manufacturer X dollars per component to make the first 1,000 components. All subsequent components cost X÷3 each. When X = \$1.50 How much will it cost to manufacture 4,000 components?

• A) \$3,500

• B) \$3,000

• C) \$4,000

• D) \$3,250

• E) \$4,500

10. A train traveling at 60 mph enters a tunnel that is 5 miles long. The train is one mile long. How many minutes does it take for the whole train to pass through the tunnel?

• A) 7

• B) 4

• C) 10

• D) 5

• E) 6

11. In the Shelbyville election, the Republican candidate received one and a half times as many votes as the Democrat candidate. The Democrat candidate received one third more votes than the Independent candidate. 900 votes were cast for the Independent candidate. How many votes were cast for the Republican candidate?

• A) 900

• B) 1,400

• C) 1,600

• D) 1,000

• E) 1,800

12. Anna and John both drive to their new home 400 miles away. Anna drives the family car at an average speed of 60 mph. John drives the removal truck at an average speed of 50 mph. During the journey, Anna stops for a total of 1 hour and 20 minutes, John stops for half as long. What is the difference in minutes between their arrival times?

• A) 60

• B) 55

• C) 40

• D) 90

• E) 80

Numerical reasoning is an increasingly popular way of assessing candidates during the job selection process. Many people who have been out of the education system for a while or who don’t use maths on a day-to-day basis feel intimidated by these types of test. The important thing to remember is that you don’t need to have studied mathematics to a high level to do well in these tests. They are primarily tests of reasoning ability and the math needed is invariably straightforward. Although you may need to get back up to speed with percentages, ratios, proportions, fractions and decimals.

You will usually be allowed to use a calculator for these types of question and investing in one which can handle fractions and percentages is a good idea. You should also try to work through a few numerical computation practice papers to get back into swing of these types of calculation.

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