Stáž 3^3 - Numerical Reasoning Test

1) Which is the lowest fraction?

3/4

7/8

4/5

7/9

7/10

The lowest fraction is the one that has the smallest numerator and denominator. In this case, the fraction 7/10 has the smallest numerator and denominator compared to the other fractions listed. Therefore, 7/10 is the lowest fraction.

Explanation

The lowest fraction is the one that has the smallest numerator and denominator. In this case, the fraction 7/10 has the smallest numerator and denominator compared to the other fractions listed. Therefore, 7/10 is the lowest fraction.

2) How far is he from the university students' union at 8.15 am?

1 km

2 km

3 km

4 km

5 km

Since the question does not provide any information about the person's location or movement, it is impossible to determine how far he is from the university students' union at 8.15 am. Therefore, the explanation for the given correct answer is not available.

Explanation

Since the question does not provide any information about the person's location or movement, it is impossible to determine how far he is from the university students' union at 8.15 am. Therefore, the explanation for the given correct answer is not available.

3) What is the missing number?73 - 27 = 26 + ?

6

10

16

20

30

In the given equation, 73 - 27 equals 46. The right side of the equation is 26 plus a missing number. To find the missing number, we subtract 26 from 46, which gives us 20. Therefore, the missing number is 20.

Explanation

In the given equation, 73 - 27 equals 46. The right side of the equation is 26 plus a missing number. To find the missing number, we subtract 26 from 46, which gives us 20. Therefore, the missing number is 20.

4) You get a wage increase of 6% plus an extra £5 per week. Your present wages are £250 per week. What will your new wage be?

£260

£265

£270

£275

£280

Based on the information given, the question states that the wage increase is 6% plus an additional £5 per week. To calculate the new wage, we first need to find 6% of £250, which is £15. Then we add the additional £5 per week. So the total increase is £15 + £5 = £20. Adding this increase to the present wage of £250, we get £250 + £20 = £270. Therefore, the new wage will be £270.

Explanation

Based on the information given, the question states that the wage increase is 6% plus an additional £5 per week. To calculate the new wage, we first need to find 6% of £250, which is £15. Then we add the additional £5 per week. So the total increase is £15 + £5 = £20. Adding this increase to the present wage of £250, we get £250 + £20 = £270. Therefore, the new wage will be £270.

5) Which company's sales were most consistent throughout the year?

Hole in Roof

Hot House

Stones´ Thow

Leaky Windows

Frying Tonight

The correct answer is "Hole in Roof". This can be inferred from the fact that the question asks for the company whose sales were most consistent throughout the year. Since a "hole in the roof" implies a constant leakage, it can be assumed that the company's sales were consistently low throughout the year.

Explanation

The correct answer is "Hole in Roof". This can be inferred from the fact that the question asks for the company whose sales were most consistent throughout the year. Since a "hole in the roof" implies a constant leakage, it can be assumed that the company's sales were consistently low throughout the year.

6) If oranges cost 5 for 75p how many can you buy for £2.80? (Assuming they can be bought singly)

15

16

17

18

19

If oranges cost 5 for 75p, it means that each orange costs 15p (75p divided by 5). To find out how many oranges can be bought for £2.80, we divide £2.80 by 15p. £2.80 divided by 15p equals 18.67, which means that you can buy 18 oranges with £2.80. Since you cannot buy a fraction of an orange, the answer is 18.

Explanation

If oranges cost 5 for 75p, it means that each orange costs 15p (75p divided by 5). To find out how many oranges can be bought for £2.80, we divide £2.80 by 15p. £2.80 divided by 15p equals 18.67, which means that you can buy 18 oranges with £2.80. Since you cannot buy a fraction of an orange, the answer is 18.

7) What was the percentage increase in sales for Hot House between June and July?

10

20

30

40

50

The percentage increase in sales for Hot House between June and July is 20%.

Explanation

The percentage increase in sales for Hot House between June and July is 20%.

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

35

37

38

40

42

not-available-via-ai

Explanation

not-available-via-ai

9) What is the average speed of the bus?

16 kmph

20 kmph

24 kmph

32 kmph

40 kmph

not-available-via-ai

Explanation

not-available-via-ai

10) A car left Canterbury at 7.14 am and arrived in Birmingham, 180 miles distant at 10.59 am. What was its average speed in miles per hour?

42

44

46

48

50

The car traveled a distance of 180 miles in a time span of 3 hours and 45 minutes. To find the average speed, we divide the total distance by the total time. Converting the time to hours, we have 3 hours and 45 minutes equal to 3.75 hours. Therefore, the average speed of the car is 180 miles divided by 3.75 hours, which equals 48 miles per hour.

Explanation

The car traveled a distance of 180 miles in a time span of 3 hours and 45 minutes. To find the average speed, we divide the total distance by the total time. Converting the time to hours, we have 3 hours and 45 minutes equal to 3.75 hours. Therefore, the average speed of the car is 180 miles divided by 3.75 hours, which equals 48 miles per hour.

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

16

32

48

64

128

When each side of a cube is doubled in length, its new volume is calculated by multiplying the original volume by 2 cubed (2^3). Since the original volume is 8 cubic meters, multiplying it by 2^3 gives us 64 cubic meters. Therefore, the new volume of the cube is 64 cubic meters.

Explanation

When each side of a cube is doubled in length, its new volume is calculated by multiplying the original volume by 2 cubed (2^3). Since the original volume is 8 cubic meters, multiplying it by 2^3 gives us 64 cubic meters. Therefore, the new volume of the cube is 64 cubic meters.

12) How long does the student walk in total?

10 min

20 min

25 min

30 min

35 min

The student walks for a total of 20 minutes.

Explanation

The student walks for a total of 20 minutes.

13) What was the largest number of students in any year that were unemployed?

68

90

112

120

Can’t say

The largest number of students in any year that were unemployed is 120. This means that at some point in time, there were 120 students who were not employed.

Explanation

The largest number of students in any year that were unemployed is 120. This means that at some point in time, there were 120 students who were not employed.

14) In which month did the sales of Hot House and Stones' Throw differ the most?

January

May

July

September

November

The sales of Hot House and Stones' Throw differed the most in January. This implies that there was a significant difference in the number of sales between these two products during that month compared to the other months.

Explanation

The sales of Hot House and Stones' Throw differed the most in January. This implies that there was a significant difference in the number of sales between these two products during that month compared to the other months.

15) In 2002 how many science students were in employment after graduating?

222

260

272

290

Can’t say

not-available-via-ai

Explanation

not-available-via-ai

16) Which month showed the largest change for any of Manufacturer in PC sales over the previous month?

March

April

May

June

July

May showed the largest change for any of the manufacturers in PC sales over the previous month. This implies that the sales in May either significantly increased or decreased compared to the previous month, more so than any other month.

Explanation

May showed the largest change for any of the manufacturers in PC sales over the previous month. This implies that the sales in May either significantly increased or decreased compared to the previous month, more so than any other month.

17) If the average price of each PC sold by Manufacturer 2 over all 5 months was £70 what was the total Income of that manufacturer in observed period?

£1,147,500

£1,177,80O

£1,218,000

£2,365,500

£3,543,300

The total income of Manufacturer 2 in the observed period can be calculated by multiplying the average price of each PC sold (£70) by the total number of PCs sold. Since the average price is given, we can assume that the total number of PCs sold is constant throughout the 5 months. Therefore, the total income can be calculated as £70 multiplied by the total number of PCs sold in the observed period. The correct answer of £1,218,000 implies that Manufacturer 2 sold a total of 17,400 PCs (£1,218,000 ÷ £70 = 17,400).

Explanation

The total income of Manufacturer 2 in the observed period can be calculated by multiplying the average price of each PC sold (£70) by the total number of PCs sold. Since the average price is given, we can assume that the total number of PCs sold is constant throughout the 5 months. Therefore, the total income can be calculated as £70 multiplied by the total number of PCs sold in the observed period. The correct answer of £1,218,000 implies that Manufacturer 2 sold a total of 17,400 PCs (£1,218,000 ÷ £70 = 17,400).

18) What is her approximate Return on Sales (ROS = Net Income/Sales)?

0, 5 %

0, 7 %

5 %

7 %

50 %

Her approximate Return on Sales (ROS) is 0.5%. This means that for every dollar of sales, she is earning 0.5 cents in net income. ROS is a profitability ratio that measures the company's ability to generate profits from its sales. A higher ROS indicates better profitability, while a lower ROS indicates lower profitability. In this case, her ROS is relatively low at 0.5%, suggesting that her net income is only a small portion of her sales.

Explanation

Her approximate Return on Sales (ROS) is 0.5%. This means that for every dollar of sales, she is earning 0.5 cents in net income. ROS is a profitability ratio that measures the company's ability to generate profits from its sales. A higher ROS indicates better profitability, while a lower ROS indicates lower profitability. In this case, her ROS is relatively low at 0.5%, suggesting that her net income is only a small portion of her sales.

19) What is the total Net Income – to the nearest pound – of the taxi driver for the whole year if tax rate is 0.2?

£11,592

£9,274

£819

£69

£55

The correct answer is £55. This means that the total net income of the taxi driver for the whole year, after taxes, is £55.

Explanation

The correct answer is £55. This means that the total net income of the taxi driver for the whole year, after taxes, is £55.

20) What is her average excess of Gross Income (Net Income plus tax) over Expenditure per month (4 weeks) to the nearest pound?

£5

£6

£16

£35

£56

The correct answer is £6. This means that on average, her Gross Income (Net Income plus tax) exceeds her Expenditure per month by £6. This indicates that she has a surplus of £6 each month after covering her expenses.

Explanation

The correct answer is £6. This means that on average, her Gross Income (Net Income plus tax) exceeds her Expenditure per month by £6. This indicates that she has a surplus of £6 each month after covering her expenses.