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Home/Numerical Reasoning Assessment/Question Bank
Question Bank & Study Library

Numerical Reasoning: Practice Questions & Worked Solutions

Study our complete repository of 81 questions for Numerical Reasoning. Review pattern principles, analysis methods, and prepare for candidate assessments at your own pace.

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All Questions (81)

Searchable database index
Question 1Numerical Reasoning
ID: 95e8059e

If sales for the month of June followed the same trend as for April to May, what would be the difference between the total sales of June and the total sales of May?

Plot not found

A
10,000
B
20,000
C
5,000
D
15,000
E
25,000
Question 2Numerical Reasoning
ID: 6bf5d84b

What is the approximate ratio of the total sales in January and February combined to that of April?

Plot not found

A
5:2
B
2:1
C
4:2
D
3:2
E
4:3
Question 3Numerical Reasoning
ID: 09d87d20

If sales from December of the previous year to January increased by 40% for double glazing and decreased by 20% for single glazing, what was the ratio of single glazing to double glazing in December of the previous year?

Plot not found

A
3:5
B
2:5
C
1:2
D
4:5
E
5:7
Question 4Numerical Reasoning
ID: d4f0d257

If total sales in December of the previous year were 260,000, between which two months was there the greatest percentage change in total sales?

Plot not found

A
April - May
B
March - April
C
February - March
D
December - January
E
January - February
Question 5Numerical Reasoning
ID: 58cc3595

Assuming a constant exchange rate, what is the projected approximate value of combined consumer goods exports from both Hong Kong and Singapore in Y+2 (in $m USD)?

Plot not found

A
$60m
B
$70m
C
$65m
D
$75m
E
Cannot say
Question 6Numerical Reasoning
ID: b5a1fec6

What is the projected percentage increase in the combined consumer goods exports for both Hong Kong and Singapore between Y and Y+4?

Plot not found

A
20%
B
30%
C
40%
D
10%
E
50%
Question 7Numerical Reasoning
ID: bdd933fb

Assuming a constant exchange rate, what is the projected value of consumer goods exports from Singapore in Y+4 (in $m SGD)?

Plot not found

A
$5m
B
Cannot say
C
$10m
D
$15m
E
$20m
Question 8Numerical Reasoning
ID: 8612fc08

What is the projected ratio of Hong Kong to Singapore consumer goods exports in Y+4?

Plot not found

A
5:1
B
4:1
C
3:1
D
Cannot say
E
2:1
Question 9Numerical Reasoning
ID: da1a06e3

What percentage of projected consumer goods exports from both countries in Y+1 is attributable to Singapore?

Plot not found

A
25%
B
17.5%
C
20%
D
22.5%
E
15%
Question 10Numerical Reasoning
ID: 0d8fcf91

At one time Hong Kong's consumer goods exports were projected to rise at 20% per year from Y+2 onwards. According to this projection, what would be the value (in $m HKD) of Hong Kong's exports in Y+4?

Plot not found

A
$502m
B
$504m
C
$503m
D
$500m
E
$501m
Question 11Numerical Reasoning
ID: 23eb5fdb

What multiple of Singapore exports are Hong Kong exports worth when calculated in $US rather than $HKD in year Y?

Plot not found

A
3
B
1
C
5
D
7
E
None of these
Question 12Numerical Reasoning
ID: 1210d0d5

What is the projected ratio of USA to UK consumer goods imports in Y+4?

Plot not found

A
5:1
B
3:1
C
Cannot say
D
4:1
E
2:1
Question 13Numerical Reasoning
ID: 10552cd4

What is the projected percentage decrease in the combined consumer goods imports for both countries between Y and Y+4?

Plot not found

A
40%
B
25%
C
48%
D
33%
E
55%
Question 14Numerical Reasoning
ID: 1ac2d20f

What percentage of the projected consumer goods imports for both countries in Y+1 is attributable to the UK?

Plot not found

A
14%
B
12%
C
18%
D
10%
E
16%
Question 15Numerical Reasoning
ID: 9895b978

Assuming a constant exchange rate, what is the projected approximate value of combined consumer goods imports for both countries in Y+2 (in EUR m)?

Plot not found

A
EUR 400m
B
EUR 404m
C
EUR 412m
D
EUR 408m
E
Cannot say
Question 16Numerical Reasoning
ID: 67520840

At one time USA's consumer goods imports were projected to decrease at 20% per year from Y+2 onwards. According to this projection, what would be the value (in $m USD) of USA's imports in Y+4?

Plot not found

A
$224m
B
$221m
C
$220m
D
$222m
E
$223m
Question 17Numerical Reasoning
ID: 9a424105

What multiple of UK imports are USA imports worth when calculated in EUR rather than $USD in year Y?

Plot not found

A
3
B
7
C
5
D
1
E
None of these
Question 18Numerical Reasoning
ID: bd705d9e

Assuming a constant exchange rate, what is the projected value of consumer goods imports for the UK in Y+1 (in £ Sterling)?

Plot not found

A
£55.5m
B
£48.5m
C
£45m
D
£52m
E
Cannot say
Question 19Numerical Reasoning
ID: 1a2b3c4d

The price of an article was cut 20% for a sale. By what percent must the item be increased to again sell the article at the original price?

A
20%
B
30%
C
25%
D
15%
E
40%
Question 20Numerical Reasoning
ID: 123e4567

What is the solution to 9 * 10 / (4 + 15 / 8 * 0) + 16 * 3?

A
70.5
B
20.25
C
40
D
32.3 (repeating)
Question 21Numerical Reasoning
ID: 54c75607

Jim, John, Jerry and Joe together bought 144 beers. Jim received 10 more beers than John, 26 more than Jerry, and 32 more than Joe. How many beers did Jim have?

A
62
B
53
C
57
D
51
Question 22Numerical Reasoning
ID: a1b2c3d4

A fish has a head 9 inches long. The tail is equal to the size of the head plus one half the size of the body. The body is the size of the head plus the tail. How long is the fish?

A
70
B
69
C
67
D
72
Question 23Numerical Reasoning
ID: f0e1d2c3

Which number doesn't fit?

A
35
B
31
C
7
D
41
E
2
Question 24Numerical Reasoning
ID: 7349db42

On a street there are 25 houses. Ten houses have fewer than 6 rooms, ten have more than 7 rooms and four have more than 8 rooms. What is the total number of houses that are either 6, 7, or 8 rooms?

A
17
B
13
C
11
D
15
Question 25Numerical Reasoning
ID: b62a1cbc

In a room there are five blue-eyed blondes. If, all together there are 14 blondes and eight people with blue eyes in the room, how many people are there in the room?

A
16
B
15
C
14
D
17
Question 26Numerical Reasoning
ID: a9ae059f

What is the x-intercept of a graph with the equation of
y = -7x + 35?

A
2
B
9
C
7
D
5
Question 27Numerical Reasoning
ID: a1b2c3d4

Two trains are on same track and they are coming toward each other. The speed of the first train is 50 km/h and the speed of the second train is 70 km/h. A bee starts flying between the trains when the distance between two trains is 120 km. The bee flies from the first train to second train. Once it reaches the second train, it immediately flies back to the first train ... and so on until trains collide. Calculate the total distance traveled by the bee. Speed of bee is 8 km/h.

A
120km
B
20km
C
8 km
D
40km
Question 28Numerical Reasoning
ID: b4356d2e

A train travels 60 km at a speed of 30 km/h and then another 60 km at a speed of 60 km/h. What is the train's average speed for the entire journey?

A
50 km/h
B
40 km/h
C
45 km/h
Question 29Numerical Reasoning
ID: c91d5f4e

You invest $1,000 in an account that offers 10% annual interest compounded annually. How much money will you have in the account after 3 years?

A
$1,300
B
$1,350
C
$1,331
Question 30Numerical Reasoning
ID: a7b9d2e5

A tank can be filled by one pipe in 3 hours and emptied by another pipe in 6 hours. If both pipes are opened simultaneously, how long will it take to fill the tank?

A
6 hours
B
4 hours
C
5 hours
Question 31Numerical Reasoning
ID: c8a7b3f5

A person buys 3 pens and 4 notebooks for $24. If the price of each notebook is twice that of a pen, what is the price of one notebook?

A
$4.00
B
$4.36
C
$4.50
Question 32Numerical Reasoning
ID: d9f2b7a3

Two workers, A and B, can complete a job together in 4 hours. A alone takes 6 hours to complete the job. How long does B take to complete the job alone?

A
14 hours
B
12 hours
C
10 hours
Question 33Numerical Reasoning
ID: c7f3a5b9

A man saves $500 in the first year, $550 in the second year, and $605 in the third year. If his savings increase by the same percentage each year, what is the annual percentage increase?

A
8%
B
10%
C
12%
Question 34Numerical Reasoning
ID: 239cf490

A train travels 60 miles at 30 mph and then 60 miles at 60 mph. What is the train's average speed over the entire journey?

A
40 mph
B
50 mph
C
45 mph
Question 35Numerical Reasoning
ID: c6a7e3fd

A number x leaves a remainder of 5 when divided by 9. What is the remainder when 3x is divided by 9?

A
3
B
5
C
6
Question 36Numerical Reasoning
ID: d1b9e49f

A container is 3/4 full of water. After 6 liters are removed, the container is 1/2 full. What is the total capacity of the container?

A
24 liters
B
18 liters
C
36 liters
Question 37Numerical Reasoning
ID: 4f8b19e7

A sum of $1,200 is divided among three people A, B, and C. A gets twice as much as B, and B gets twice as much as C. How much does A get?

A
$400
B
$600
C
$800
Question 38Numerical Reasoning
ID: 9d3c1e8b

A man buys 100 items for $100. Chickens cost $5 each, pigs cost $10 each, and rabbits cost $0.50 each. If he buys at least one of each animal, how many rabbits does he buy?

A
90
B
85
C
94
Question 39Numerical Reasoning
ID: 7a4f1b9d

A clock gains 2 minutes every hour. If the clock shows 6:00 PM now, what will it show after 24 hours, according to its time?

A
6:24 PM
B
5:12 PM
C
6:48 PM
Question 40Numerical Reasoning
ID: d1a3c8f9

How many times does the digit 7 appear from 1 to 100 (inclusive)?

A
10
B
12
C
8
Question 41Numerical Reasoning
ID: 3f6c4e79

A factory produces 240 units in 8 hours with 6 machines running. If 4 additional machines of the same efficiency are added, how many units will the factory produce in 10 hours?

A
520
B
500
C
450
Question 42Numerical Reasoning
ID: 8f3a9b5e

A bag contains 3 red balls, 5 blue balls, and 7 green balls. If two balls are picked at random without replacement, what is the probability that both are green?

A
1/5
B
1/3
C
2/7
Question 43Numerical Reasoning
ID: 4b9f3c8e

A sequence starts with 2 and follows the rule: each term is twice the previous term plus 3. What is the fifth term of the sequence?

A
89
B
77
C
65
Question 44Numerical Reasoning
ID: 5a9c8e3f

The sum of the ages of a father and son is 60 years. Four years ago, the father was three times as old as the son. What is the son's current age?

A
14
B
16
C
18
Question 45Numerical Reasoning
ID: 7f3c9a5e

A car travels 60 km at a speed of 40 km/h and then 90 km at a speed of 60 km/h. What is the car's average speed for the entire journey?

A
55 km/h
B
45 km/h
C
50 km/h
Question 46Numerical Reasoning
ID: 6b1e53f4

A factory produces 240 widgets in 8 hours using 4 machines. How many widgets can 6 machines produce in 10 hours, assuming constant productivity?

A
400
B
450
C
500
Question 47Numerical Reasoning
ID: 3d9b4a6f

A train travels 120 km at a speed of 60 km/h. Then, it travels another 180 km at 90 km/h. What is the train's average speed for the entire journey?

A
75 km/h
B
80 km/h
C
70 km/h
Question 48Numerical Reasoning
ID: 4a7f3d5b

If a 15% discount on a product reduces its price by $45, what is the original price of the product?

A
$270
B
$300
C
$315
Question 49Numerical Reasoning
ID: 2f7b9c6d

A tank can be filled by Pipe A in 12 hours and by Pipe B in 8 hours. If both pipes are opened together, how long will it take to fill the tank?

A
4.8 hours
B
4.5 hours
C
5 hours
Question 50Numerical Reasoning
ID: 3c7b9f4a

A rectangle's length is doubled, and its width is halved. By what percentage does the area change?

A
50% increase
B
0%
C
25% decrease
Question 51Numerical Reasoning
ID: 89a3c9d7

A clock strikes once at 1 o'clock, twice at 2 o'clock, and so on. How many times will it strike in total from 1 o'clock to 12 o'clock?

A
78
B
66
C
72
Question 52Numerical Reasoning
ID: a7d5f3b9

A man buys 3 apples for $5 and sells 5 apples for $12. How much profit does he make on selling 15 apples?

A
$9
B
$13
C
$11
Question 53Numerical Reasoning
ID: d1e8f7b5

A train travels 60 miles at 30 mph and returns the same distance at 60 mph. What is the train's average speed for the entire journey?

A
45 mph
B
50 mph
C
40 mph
Question 54Numerical Reasoning
ID: b5f9a7c8

If 3x + 4y = 18 and x + 2y = 7, what is the value of x?

A
1
B
2
C
3
Question 55Numerical Reasoning
ID: a7c9f3b5

A tank is filled by two pipes. Pipe A fills it in 3 hours, and Pipe B fills it in 6 hours.
How long will it take to fill the tank if both pipes are opened together?

A
3 hours
B
2 hours
C
2.5 hours
Question 56Numerical Reasoning
ID: c8d7f9a5

A bag contains 10 red, 15 blue, and 25 green balls. If two balls are picked randomly, what is the probability that both are blue?

A
2/25
B
3/35
C
1/10
Question 57Numerical Reasoning
ID: f97e3c7a

A factory produces 120 widgets per hour. If 15% of the widgets are defective, how many non-defective widgets are produced in an 8-hour shift?

A
800
B
816
C
840
Question 58Numerical Reasoning
ID: a7c8f3b9

A sum of $1200 is divided among three people such that the first person gets half of what the second person gets, and the third person gets twice what the second person gets. How much does the second person get?

A
400
B
300
C
600
Question 59Numerical Reasoning
ID: d7b5c3a9

A tank can be filled by one pipe in 6 hours and emptied by another pipe in 9 hours. If both pipes are opened simultaneously, how long will it take to fill the tank?

A
18 hours
B
12 hours
C
24 hours
Question 60Numerical Reasoning
ID: c8a7f9b3

A car travels 60 km at a speed of 20 km/h and then another 60 km at a speed of 40 km/h. What is the car's average speed for the entire journey?

A
26.67 km/h
B
30 km/h
C
28 km/h
Question 61Numerical Reasoning
ID: b7f8c3a9

The sum of three consecutive odd numbers is 51. What is the largest of these numbers?

A
17
B
21
C
19
Question 62Numerical Reasoning
ID: 74d8a1f3

A train travels 60 km in the first hour, 90 km in the second hour, and 120 km in the third hour. If the train continues to increase its speed at the same rate, how far will it travel in the fourth hour?

A
140 km
B
150 km
C
180 km
Question 63Numerical Reasoning
ID: 3a9f8c7b

The sum of three consecutive odd numbers is 51. What is the largest of these numbers?

A
17
B
19
C
21
Question 64Numerical Reasoning
ID: 2b7c9d5f

A factory produces 240 widgets in 8 hours with 6 workers. How many widgets can 10 workers produce in 10 hours at the same rate?

A
450 widgets
B
550 widgets
C
500 widgets
Question 65Numerical Reasoning
ID: 4a7d9f3b

If 5 people can complete a task in 12 days, how many days will it take 8 people to complete the same task working at the same rate?

A
7.5 days
B
10 days
C
8 days
Question 66Numerical Reasoning
ID: 5a9c7e4b

A tank can be filled in 12 hours by Pipe A and in 18 hours by Pipe B. If both pipes are opened together, how long will it take to fill the tank?

A
8 hours
B
6 hours
C
7.2 hours
Question 67Numerical Reasoning
ID: 8c9f5a7b

A car travels 60 km in the first hour, 50 km in the second hour, and 40 km in the third hour. What is the car's average speed over the three hours?

A
50 km/h
B
55 km/h
C
45 km/h
Question 68Numerical Reasoning
ID: 9a5f8c7b

If a rectangle's length is increased by 20% and its width is decreased by 20%, what is the percentage change in its area?

A
4% decrease
B
4% increase
C
No change
Question 69Numerical Reasoning
ID: 0fdb40fc

You have a 3-liter and a 5-liter jug and an unlimited water supply. What is the minimum number of steps required to measure exactly 4 liters?

A
7
B
6
C
5
Question 70Numerical Reasoning
ID: 0a05ad75

The sum of three consecutive integers is 123. What is the largest of these integers?

A
43
B
42
C
41
Question 71Numerical Reasoning
ID: 8a5f9c7b

A man spends 40% of his income on rent, 25% on food, and saves the remaining $900. What is his total income?

A
$2600.00
B
$2400.00
C
$2571.43
Question 72Numerical Reasoning
ID: 5d962983

27 minutes before 7 o'clock is 33 minutes past 5 o'clock

A
False
B
True
Question 73Numerical Reasoning
ID: 1ffb4a48

Gary has only forty-eight dollars, but he can buy a bicycle that costs one hundred twenty dollars, (disregarding tax) if he borrows fifty-seven dollars from Jane and fifteen dollars from Jill.

A
True
B
False
Question 74Numerical Reasoning
ID: 6f17605c

John weighs 85 pounds. Jeff weighs 105 pounds. Jake weighs 115 pounds. Two of them standing together on the same scale could weigh 200 pounds.

A
False
B
True
Question 75Numerical Reasoning
ID: 902a65e2

Nine chickens, two dogs, and three cats have a total of forty legs

A
True
B
False
Question 76Numerical Reasoning
ID: 27172924

If a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes

A
False
B
True
Question 77Numerical Reasoning
ID: 8c0f14bf

Three of the following numbers add up to the number 31:
17, 3, 2, 19, 5.

A
True
B
False
Question 78Numerical Reasoning
ID: 589abc79

The odd numbers in this group add up to an even number:
15, 32, 5, 13, 82, 7, 1.

A
True
B
False
Question 79Numerical Reasoning
ID: 31f3104f

The number 64 is the next logical number in the following sequence of numbers: 2, 6, 14, 30...

A
False
B
True
Question 80Numerical Reasoning
ID: 68638f5a

The sum of all the odd numbers from zero to 16 is an even number

A
False
B
True
Question 81Numerical Reasoning
ID: eb566a3b

If each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs

A
True
B
False

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