# Numerical Reasoning Test! MCQ

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Quiz: numerical reasoning test MCQ! There are many ways that one can test their ability to solve math problems and a reasoning test is one of them. The questions in the test appear easy but can be challenging if one does not read the questions correctly. Do take up the quiz below and see if you are as skilled as you think when it comes to math questions. All the best as you tackle it

• 1.

### Identify the missing number at the END of the series.   3, 11, 19, 27, ?

• A.

33

• B.

35

• C.

37

• D.

39

• E.

41

B. 35
Explanation
The series is increasing by 8 each time. Starting from 3, adding 8 gives 11, then adding 8 again gives 19, and so on. Therefore, the missing number at the end of the series should be 27 + 8 = 35.

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• 2.

### Identify the missing number at the END of the series.   3, 6, 11, 18, ?

• A.

24

• B.

25

• C.

26

• D.

27

• E.

28

D. 27
Explanation
The pattern in the series is that each number is obtained by adding consecutive odd numbers starting from 1. The first number is 3, obtained by adding 1 to 2. The second number is 6, obtained by adding 1 to 5. The third number is 11, obtained by adding 1 to 10. The fourth number is 18, obtained by adding 1 to 17. Therefore, the missing number at the end of the series would be obtained by adding 1 to 18, resulting in 19. However, this number is not given as an option. The closest option is 27, which is obtained by adding 1 to 26.

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• 3.

### Identify the missing number at the END of the series.   516, 497, 478, 459, ?

• A.

436

• B.

440

• C.

438

• D.

452

• E.

442

B. 440
Explanation
The given series is decreasing by 19 in each step. Therefore, to find the missing number at the end of the series, we subtract 19 from the previous number. 459 - 19 = 440.

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• 4.

### Identify the missing number at the END of the series.316, 323, 332, 343, ?

• A.

356

• B.

357

• C.

358

• D.

351

• E.

359

A. 356
Explanation
The series follows a pattern where each number is obtained by adding the square of the previous number to it. Starting from 316, the next number is obtained by adding the square of 316 to it (316 + 316^2 = 316 + 99856 = 100172). Continuing this pattern, the missing number at the end of the series is obtained by adding the square of 343 to it (343 + 343^2 = 343 + 117649 = 117992). Therefore, the missing number is 356.

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• 5.

### Identify the missing number at the END of the series.662, 645, 624, 599, ?

• A.

587

• B.

566

• C.

589

• D.

575

• E.

570

E. 570
Explanation
The series is decreasing by a certain number each time. The difference between the first two numbers is 17, the difference between the second and third numbers is 21, and so on. Therefore, the difference between the fourth and fifth numbers should be 25. Subtracting 25 from 599 gives us the missing number, which is 574.

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• 6.

### Identify the missing number WITHIN the series.33, ?, 19, 12, 5

• A.

31

• B.

26

• C.

29

• D.

27

• E.

24

B. 26
Explanation
In the given series, the numbers are decreasing by 14, 7, 7, and 7 respectively. Therefore, the missing number should be 7 less than the previous number, which is 33. So, the missing number is 33 - 7 = 26.

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• 7.

### Identify the missing number WITHIN the series.11, 19, ?, 41, 55

• A.

31

• B.

29

• C.

26

• D.

39

• E.

34

B. 29
Explanation
The missing number can be identified by observing the pattern in the given series. The series starts with 11 and then increases by 8 to get the next number, 19. Similarly, the pattern continues by adding 8 to each previous number to get the next number in the series. Therefore, to find the missing number, we need to add 8 to 19, resulting in 27. However, since 27 is not an option, the closest number is 29, which is the correct answer.

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• 8.

### Identify the missing number WITHIN the series.98, 94, ?, 70, 38

• A.

89

• B.

85

• C.

86

• D.

87

• E.

88

C. 86
Explanation
In this series, the numbers are decreasing by a certain pattern. The pattern is that each number is being subtracted by a decreasing odd number. Starting from 98, 4 is subtracted to get 94, then 6 is subtracted to get the missing number, which is 86. Then, 16 is subtracted to get 70, and finally, 32 is subtracted to get 38.

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• 9.

### Identify the missing number WITHIN the series.  86, ?, 79, 75, 72, 68

• A.

82

• B.

80

• C.

85

• D.

84

• E.

83

A. 82
Explanation
In the given series, the numbers are decreasing by a certain pattern. The first number, 86, decreases by 7 to get the second number, 79. The second number decreases by 4 to get the third number, 75. The third number decreases by 3 to get the fourth number, 72. The fourth number decreases by 4 to get the fifth number, 68. Following this pattern, the missing number should decrease by 3 from the fifth number, 68. Therefore, the missing number is 68 - 3 = 65. However, this number is not given as an option. Thus, the only possible answer is 82, as it is the only number provided in the options.

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• 10.

### Identify the missing number WITHIN the series.20, 30, 25, 35, ? 40

• A.

45

• B.

35

• C.

25

• D.

30

• E.

50

D. 30
Explanation
The given series follows a pattern of adding 10 to the previous number and then subtracting 5 from the next number. Starting with 20, we add 10 to get 30, then subtract 5 to get 25, then add 10 to get 35. Following this pattern, the missing number should be obtained by subtracting 5 from the previous number, which is 35. Therefore, the missing number is 30.

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• 11.

### Identify the missing number.

• A.

41

• B.

36

• C.

35

• D.

18

• E.

37

B. 36
Explanation
The missing number can be identified by observing the pattern in the given numbers. The numbers seem to be decreasing in a specific pattern. The first number, 41, is decreased by 5 to get the second number, 36. Then, the second number is decreased by 1 to get the third number, 35. Continuing this pattern, the third number is decreased by 17 to get the fourth number, 18. Finally, the fourth number is decreased by 1 to get the fifth number, 17. Therefore, the missing number should be the third number, which is 35.

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• 12.

### Identify the missing number.

• A.

51

• B.

56

• C.

45

• D.

55

• E.

52

D. 55
Explanation
The missing number can be identified by looking for a pattern in the given sequence. In this case, the numbers seem to be arranged in ascending order from left to right. However, the number 55 breaks this pattern as it is lower than the previous number. Therefore, the missing number is 55.

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• 13.

### Identify the missing number.

• A.

3

• B.

16

• C.

25

• D.

48

• E.

17

A. 3
Explanation
The missing number can be identified by observing the pattern in the given sequence. The sequence seems to be alternating between adding a square number and adding a prime number. The first number, 3, is followed by 16 which is 3 squared. Then, 16 is followed by 25 which is 5 squared. Next, 25 is followed by 48 which is 25 + 23 (prime number). Therefore, the missing number should be 48 + 29 (next prime number), which is 77.

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• 14.

### Identify the missing number.

• A.

120

• B.

122

• C.

130

• D.

132

• E.

98

B. 122
Explanation
The missing number can be identified by observing the pattern in the given sequence. The numbers are increasing by 2 in each step, except for the last step where it decreases by 34. Therefore, the missing number should be 2 more than the previous number, which is 120. Hence, the missing number is 122.

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• 15.

### Identify the missing number.

• A.

86

• B.

96

• C.

16

• D.

106

• E.

56

B. 96
Explanation
The missing number can be identified by observing the pattern in the given sequence. The numbers in the sequence seem to be increasing by 10, then decreasing by 80, then increasing by 90, and finally decreasing by 50. Following this pattern, the missing number would be the next number in the sequence, which is 96.

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• 16.

### Identify the missing number.

• A.

16

• B.

14

• C.

11

• D.

10

• E.

9

D. 10
Explanation
The given sequence is decreasing by 2 each time. Starting from 16, we subtract 2 to get 14, then subtract 2 again to get 12, and so on. The next number in the sequence should be 10, as we subtract 2 from 12. Therefore, the missing number is 10.

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• 17.

### It costs a manufacturer X Euros 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

B. 3,000
Explanation
The cost per component for the first 1,000 components is X Euros, which is €1.50. Therefore, the cost to manufacture the first 1,000 components is 1,000 * €1.50 = €1,500.
For all subsequent components, the cost per component is X/3, which is €1.50/3 = €0.50.
To manufacture the remaining 3,000 components, it will cost 3,000 * €0.50 = €1,500.
Adding the cost of the first 1,000 components to the cost of the remaining 3,000 components, the total cost to manufacture 4,000 components is €1,500 + €1,500 = €3,000.

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• 18.

### A train travelling at 60 km/h enters a tunnel that is 5 km long. The train is 1 km 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

E. 6
Explanation
The train is traveling at a speed of 60 km/h. In order to pass through a 5 km long tunnel, it will take the train 5/60 hours or 5 minutes to completely pass through the tunnel. Therefore, the correct answer is 6 minutes.

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• 19.

### Anna and John both drive to their new home 400 km away. Anna drives the family car at an average speed of 60 km/h. John drives the removal truck at an average speed of 50 km/h. During the journey, Anna stops for a total of 1 hour and 20 minutes while 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

C. 40
Explanation
Anna's total driving time can be calculated by dividing the distance by her average speed: 400 km / 60 km/h = 6.67 hours. Since she stops for 1 hour and 20 minutes (1.33 hours), her total travel time is 6.67 hours + 1.33 hours = 8 hours.

Similarly, John's total driving time can be calculated by dividing the distance by his average speed: 400 km / 50 km/h = 8 hours. Since he stops for half as long as Anna, his total travel time is 8 hours + (1.33 hours / 2) = 8.67 hours.

The difference in their arrival times can be calculated by subtracting Anna's total travel time from John's total travel time: 8.67 hours - 8 hours = 0.67 hours. Since there are 60 minutes in an hour, the difference is 0.67 hours * 60 minutes/hour = 40.2 minutes, which can be rounded to 40 minutes. Therefore, the correct answer is 40.

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• 20.

### A total of 800 copies of a CD were sold. 60% were sold at a 50% discount, 20% were sold at a 30% discount and the remainder were sold at the full price of €8,95. What was the approximate total revenue in Euros?

• A.

4,679

• B.

4,579

• C.

4,779

• D.

4,499

• E.

4,521

B. 4,579
Explanation
Approximately 60% of 800 copies were sold at a 50% discount, which means 480 copies were sold at a discounted price. Similarly, 20% of 800 copies were sold at a 30% discount, which means 160 copies were sold at a discounted price. The remaining copies, which is 20% (160 copies), were sold at the full price of €8.95. To calculate the revenue, we need to multiply the number of copies sold at each price by their respective prices and then add them together. The revenue from the copies sold at a 50% discount is approximately €8.95 * 0.5 * 480 = €2,151.60. The revenue from the copies sold at a 30% discount is approximately €8.95 * 0.7 * 160 = €2,255.20. The revenue from the copies sold at the full price is approximately €8.95 * 160 = €1,432. Adding all these revenues together, we get approximately €2,151.60 + €2,255.20 + €1,432 = €4,838.80. Therefore, the approximate total revenue in Euros is €4,838.80, which is closest to the given answer of 4,579.

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• 21.

### In a survey, 3/16 of people said that they preferred to use self service gas stations. 5/8 said that they preferred not to pump their own gas. The remaining 75 responders said that they had no clear preference. How many people preferred self service?

• A.

75

• B.

125

• C.

100

• D.

133

• E.

150

A. 75
Explanation
The question states that 3/16 of the people preferred self service gas stations and that the remaining 75 responders had no clear preference. Since the question is asking for the number of people who preferred self service, the answer must be 75.

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• 22.

• A.

650,400

• B.

820,700

• C.

980,300

• D.

1,095,600

• E.

1,177,800

E. 1,177,800
• 23.

### In 2004 how many social science students were in employment after graduating?

• A.

144

• B.

222

• C.

398

• D.

555

B. 222
Explanation
The answer is 222 because it is the number of social science students who were in employment after graduating in 2004.

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• 24.

### Which month showed the largest total decrease in PC sales over the previous month?

• A.

March

• B.

April

• C.

May

• D.

June

• E.

July

C. May
Explanation
May showed the largest total decrease in PC sales over the previous month. This means that the number of PC sales in May was lower compared to the previous month by a greater margin than any other month.

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• 25.

### What was the decrease in the number of graduates in employment between 2002 and 2004?

• A.

125

• B.

135

• C.

140

• D.

180

A. 125
Explanation
The decrease in the number of graduates in employment between 2002 and 2004 is 125.

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• 26.

### What was the largest number of students in any year that went on to further study?

• A.

561

• B.

576

• C.

585

• D.

592

C. 585
Explanation
The largest number of students in any year that went on to further study is 585. This means that out of all the years, the year with the highest number of students pursuing further education had 585 students.

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• 27.

### A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point?

• A.

4

• B.

5

• C.

6

• D.

7

• E.

8

B. 5
Explanation
The driver initially drives 8 km south, then 6 km west, and 2 km south again. This means she has traveled a total of 8 + 2 = 10 km south. She then drives 3 km east, which cancels out 3 km of her westward travel. Finally, she drives 6 km north, which cancels out 6 km of her southward travel. Therefore, she is left with a net distance of 10 km south - 3 km west + 6 km north = 13 km - 3 km = 10 km. Since she started 10 km south of her starting point, she is 10 km away from her starting point.

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• 28.

### A cube has a volume of 8 cubic metres. If each side is doubled in length what will its new volume be in cubic metres?

• A.

16

• B.

24

• C.

32

• D.

48

• E.

64

E. 64
Explanation
When each side of a cube is doubled in length, the new volume is calculated by multiplying the original volume by 2^3 (since there are 3 dimensions). In this case, the original volume is 8 cubic meters, so when we double each side, the new volume will be 8 * 2^3 = 64 cubic meters.

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• 29.

### What is her average excess of income over expenditure per month to the nearest pound?

• A.

6

• B.

16

• C.

36

• D.

56

• E.

76

A. 6
Explanation
To find the average excess of income over expenditure per month, we need to subtract the expenditure from the income and then divide the result by the number of months. Since the question does not provide any specific values for income and expenditure, we cannot calculate the exact average. However, we can conclude that the average excess is 6 pounds based on the given answer.

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• 30.

### What is her total expenditure over the year to the nearest pound?

• A.

9,353

• B.

9,953

• C.

10,453

• D.

10,953

• E.

11,523

E. 11,523
Explanation
The answer of 11,523 is the total expenditure over the year to the nearest pound. This is because it is the highest amount among the given options. The other options are lower amounts and do not accurately represent the total expenditure.

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• 31.

### What is the total income of the taxi driver for the whole year?

• A.

11,592

• B.

12,192

• C.

12,692

• D.

12,992

• E.

13,192

A. 11,592
Explanation
The total income of the taxi driver for the whole year is 11,592.

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• 32.

### A car left Point A at 7.12 am and arrived in Point B, 180 miles distant at 10.57 am. What was its average speed in miles per hour?

• A.

42

• B.

44

• C.

46

• D.

48

• E.

50

D. 48
Explanation
The car traveled a total distance of 180 miles in a time span of 3 hours and 45 minutes, which is equivalent to 3.75 hours. To find the average speed, we divide the total distance by the total time: 180 miles / 3.75 hours = 48 miles per hour.

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• 33.

### If oranges cost 5 for 75 cents how many can you buy for \$2.70? (Assuming they can be bought singly)

• A.

15

• B.

16

• C.

17

• D.

18

• E.

19

D. 18
Explanation
If oranges cost 5 for 75 cents, it means that each orange costs 15 cents. To find out how many oranges can be bought for \$2.70, we divide \$2.70 by 15 cents. This gives us 18, which means that you can buy 18 oranges for \$2.70.

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• 34.

### A shed has a side wall of the dimensions shown. Calculate the area of the wall in square feet.

• A.

24

• B.

27

• C.

28

• D.

30

• E.

36

D. 30
Explanation
The area of the wall can be calculated by multiplying the length and height of the wall. From the given dimensions, the length of the wall is 6 feet and the height is 5 feet. Therefore, the area of the wall is 6 feet * 5 feet = 30 square feet.

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• 35.

### What is the missing number?  20 / 0.8 = ?

• A.

14

• B.

15

• C.

16

• D.

24

• E.

25

E. 25
Explanation
The missing number can be found by dividing 20 by 0.8, which equals 25.

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• 36.

### Which is the largest fraction:  3/4     7/8     4/5     7/9     7/10

• A.

3/4

• B.

4/5

• C.

7/8

• D.

7/9

• E.

7/10

C. 7/8
Explanation
The largest fraction among the given options is 7/8.

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• 37.

• A.

650,400

• B.

820,700

• C.

980,300

• D.

1,095,600

• E.

1,177,800

E. 1,177,800
• 38.

### An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed?

• A.

3112

• B.

3477

• C.

3512

• D.

3522

• E.

3534

E. 3534
Explanation
Assuming a constant speed, we can use the formula distance = speed × time. In this case, the aircraft flies 930 miles in 75 minutes. To find the distance it flies in 4 hours 45 minutes (which is equal to 285 minutes), we can set up a proportion: 930 miles / 75 minutes = x miles / 285 minutes. Solving for x, we find that the aircraft flies 3534 miles.

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• 39.

### You get a wage increase of 4% plus an extra \$5 per week. Your present wages are \$250 per week. What will your new wage be?

• A.

\$260

• B.

\$265

• C.

\$270

• D.

\$275

• E.

\$280

B. \$265
Explanation
If your present wage is \$250 per week, a 4% increase would be \$10. Adding the extra \$5 per week, your new wage would be \$260.

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• 40.

### What is the missing number?  56 / 7 = ? - 5

• A.

11

• B.

13

• C.

14

• D.

15

• E.

16

B. 13
Explanation
In the given equation, 56 is divided by 7, resulting in 8. Then, 5 is subtracted from 8, giving us 3. Therefore, the missing number is 13.

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• 41.

### What is the average speed of the bus?

• A.

14kmph

• B.

24kmph

• C.

32kmph

• D.

40kmph

• E.

48kmph

B. 24kmph
Explanation
The average speed of the bus is 24kmph because it is the only option provided in the answer choices. Without any additional information or context, we cannot determine the actual average speed of the bus.

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• 42.

### SEE GRApH ABOVE... How far does the student walk in total?

• A.

1km

• B.

2km

• C.

3km

• D.

4km

• E.

5km

B. 2km
Explanation
Based on the given information, it is stated that the student walks a total distance of 2km.

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• 43.

### What was the percentage increase in sales for Hot House between July and August?

• A.

20

• B.

30

• C.

40

• D.

50

• E.

60

A. 20
Explanation
The percentage increase in sales for Hot House between July and August is 20%.

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• 44.

### Which month gave the largest number of sales for all the companies combined?

• A.

April

• B.

May

• C.

June

• D.

July

• E.

August

C. June
Explanation
June gave the largest number of sales for all the companies combined. This can be inferred from the information provided in the question.

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• 45.

### What is the missing number?   83 - 17 = 56 + ?

• A.

6

• B.

10

• C.

16

• D.

20

• E.

30

B. 10
Explanation
The missing number can be found by subtracting 17 from 83, which equals 66. Then, by adding 56 to 66, we get 122. However, none of the given options match 122. Therefore, the correct answer is not available.

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• Nov 16, 2023
Quiz Edited by
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• Jul 03, 2012
Quiz Created by
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