Numerical Reasoning Test — Questions and Answers

Question 1: A manager's salary increases by 8% to $43,200. What was the original salary?

$42,000
$41,200
$39,600
$40,000 (Correct answer)

Correct answer: $40,000

Original salary = $43,200 / 1.08 = $40,000.

Question 2: Four consecutive numbers added together equal 18. Which of these numbers is the highest?

7
8
5
6 (Correct answer)

Correct answer: 6

Let the four consecutive numbers be x, x+1, x+2, and x+3. Their sum is x + (x+1) + (x+2) + (x+3) = 4x + 6. Given that the sum is 18, we set 4x + 6 = 18. Solving for x, we get 4x = 12, so x = 3. The four consecutive numbers are 3, 4, 5, and 6, with 6 being the highest.

Question 3: A stacked bar shows total expenses of $800 with rent taking 37.5%. How much is rent?

$310
$290
$320
$300 (Correct answer)

Correct answer: $300

37.5% of $800 = 0.375 × $800 = $300.

Question 4: A company issues bonds worth $50,000 at a 6% coupon rate payable semi-annually. What is each semi-annual coupon payment?

$2,500
$1,250
$3,000
$1,500 (Correct answer)

Correct answer: $1,500

Annual coupon = 0.06 × $50,000 = $3,000; semi-annual = $3,000 ÷ 2 = $1,500.

Question 5: How much would a consumer have paid if they initially chose the Orange package but then, after six months, elected to switch to the White package, which is less expensive, to finish their contract?

$240
$530
$330 (Correct answer)
$420
$280

Correct answer: $330

To calculate the total cost, first determine the monthly cost of the Orange package and the White package. Calculate the cost for the first six months using the Orange package's monthly rate. Then, calculate the cost for the remaining duration of the contract (typically six months for a standard year-long contract) using the less expensive White package's monthly rate. Sum these two amounts to find the total payment, which is $330.

Question 6: A boat goes 30 km upstream in 3 hours and 36 km downstream in 2 hours. What is the speed of the stream?

5 km/h
2 km/h
4 km/h (Correct answer)
3 km/h

Correct answer: 4 km/h

Upstream speed = 10 km/h; Downstream speed = 18 km/h; Stream speed = (18 − 10) ÷ 2 = 4 km/h.

Question 7: What is the next number: 5, 10, 20, 40, 80, __?

160 (Correct answer)
200
120
100

Correct answer: 160

Each term is multiplied by 2 (doubling); 80 × 2 = 160.

Question 8: A cyclist covers 45 km in 3 hours. At the same speed, how long will it take to cover 75 km?

4 hours
7 hours
6 hours
5 hours (Correct answer)

Correct answer: 5 hours

Speed = 45 ÷ 3 = 15 km/h; Time = 75 ÷ 15 = 5 hours.

Question 9: A train travels 360 miles in 4.5 hours. At the same speed, how far will it travel in 7 hours?

580 miles
560 miles (Correct answer)
520 miles
540 miles

Correct answer: 560 miles

Speed = 360 ÷ 4.5 = 80 mph; distance in 7 hours = 80 × 7 = 560 miles.

Question 10: If 40% of a number is 68, what is the number?

180
160
150
170 (Correct answer)

Correct answer: 170

Number = 68 / 0.40 = 170.

Question 11: A salesperson earns a base salary of $2,500/month plus 4% commission on sales. If they sell $30,000 in a month, what are their total earnings?

$3,700 (Correct answer)
$3,200
$3,400
$2,900

Correct answer: $3,700

Commission = 4% × $30,000 = $1,200; Total = $2,500 + $1,200 = $3,700.

Question 12: A car depreciates by 15% per year. If it was worth $24,000 new, what is it worth after one year?

$21,600
$20,400 (Correct answer)
$19,200
$22,000

Correct answer: $20,400

Depreciation = 0.15 × $24,000 = $3,600; value after one year = $24,000 − $3,600 = $20,400.

Question 13: Two quantities are in the ratio 5:8. If the smaller quantity is 35, what is the sum of both quantities?

70
88
56
91 (Correct answer)

Correct answer: 91

If 5 parts = 35, then 1 part = 7; larger = 8×7 = 56; sum = 35+56 = 91.

Question 14: Three partners invest in a business in the ratio 2:3:5. If the total investment is $50,000, how much does the partner with the middle share invest?

$15,000 (Correct answer)
$20,000
$10,000
$25,000

Correct answer: $15,000

Total parts = 2+3+5 = 10; middle share = 3/10 × $50,000 = $15,000.

Question 15: Identify the next number: 256, 128, 64, 32, __?

8
16 (Correct answer)
12
24

Correct answer: 16

Each term is halved; 32 ÷ 2 = 16.

Question 16: A map uses a scale of 1:50,000. If two cities are 8 cm apart on the map, what is the actual distance in kilometers?

4 km (Correct answer)
0.4 km
400 km
40 km

Correct answer: 4 km

Actual distance = 8 cm × 50,000 = 400,000 cm = 4,000 m = 4 km.

Question 17: A mortgage of $200,000 is taken at 5% annual interest for 20 years with simple interest. What is the total interest paid?

$200,000 (Correct answer)
$250,000
$150,000
$100,000

Correct answer: $200,000

Total interest = $200,000 × 0.05 × 20 = $200,000.

Question 18: A business spends $12,000 on advertising and generates $84,000 in new revenue. What is the return on advertising spend (ROAS)?

8
7 (Correct answer)
10
6

Correct answer: 7

ROAS = Revenue ÷ Ad Spend = $84,000 ÷ $12,000 = 7.

Question 19: A pie chart shows that Department A uses 35% of a budget, Department B uses 45%, and the rest goes to Department C. If the total budget is $200,000, how much does Department C receive?

$20,000
$40,000 (Correct answer)
$45,000
$30,000

Correct answer: $40,000

Department C gets 100% - 35% - 45% = 20%; 20% of $200,000 = $40,000.

Question 20: A product costs $48 after a 20% discount. What was the original price?

$56
$58
$60 (Correct answer)
$64

Correct answer: $60

Original price = $48 ÷ (1 − 0.20) = $48 ÷ 0.80 = $60.

Question 21: A car travels 270 miles on 9 gallons of gas. How many miles per gallon does it get?

25 mpg
30 mpg (Correct answer)
27 mpg
33 mpg

Correct answer: 30 mpg

Fuel efficiency = 270 miles ÷ 9 gallons = 30 mpg.

Question 22: What is the next number in the sequence: 3, 7, 11, 15, 19, __?

25
21
23 (Correct answer)
22

Correct answer: 23

The sequence increases by 4 each time; 19 + 4 = 23.

Question 23: A company's workforce is 60% female. If there are 270 female employees, what is the total number of employees?

500
420
400
450 (Correct answer)

Correct answer: 450

Total = 270 / 0.60 = 450 employees.

Question 24: Find the missing value: 3, 9, 27, __, 243?

81 (Correct answer)
108
72
54

Correct answer: 81

Each term is multiplied by 3; 27 × 3 = 81.

Question 25: Identify the missing number: 1, 1, 2, 3, 5, 8, 13, __?

20
18
21 (Correct answer)
24

Correct answer: 21

This is the Fibonacci sequence; each term equals the sum of the two preceding terms: 8+13 = 21.

Numerical Reasoning Test

A psychometric aptitude assessment used by employers and graduate recruiters to evaluate candidates' ability to interpret and analyze numerical data from tables, charts, and graphs under timed conditions. Commonly administered by providers such as SHL, Korn Ferry, and Saville Assessment.

Questions

28 min

Time Limit

70%

To Pass

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