KPMG经典24题
The classical 24 numerical reasoning 经典的24数值推理
一．bar chart below shows the number of temporary and permanent staff working in five regional call centres:
1. the actual number of calls taken per hour in region sw fell 10% short of the target set – what was the target number of calls per hour? E(28x200+25x100)/(100%-10%)=9000
2. an increase of 6% in both the number of temporary and permanent staff in region NW is planned. If the average number of calls taken per hour stayed the same for all staff, what would be the increase in the total number of calls taken per hour？ C。 20x250+16x300) x6%=588
3.if the ratio of permanent to temporary staff in region SE was the same as for region E, but the total number of staff remained the same, what would be the change in calls handled per hour? B
Region E (permanent: temporary)=3:2
Region SE Total: 400 ，Permanent: 150 Temporary: 250 (New) Permanent: 400x3/5=240 ， Temporary: 400x2/5=160 所以我们可以得出P增加了90人，T减少了90人
90x(30-18)=1080 (我们可以用其他方法算，但是却不是最节约时间的算法)
4.which two regions had the highest total number of calls handed per hour by permanent staff? E 目测，（SE和SW的P每小时接的电话数是最高的，而且SW的P的人数多，所以总数上SW可定比SE要高。虽然E的每小时接电话数不高，但是他人数最多，所以总数也很高）
二．table below shows coach travel limited’s ticket prices and sales targets to three destinations over a 4-week period:
average
destination 4-week sales week 1 week 2
price
per ticket target revenue revenue hopworth 48 43200 11232 12096 jumpford 50 80000 21600 19200 skipdown 40 16000 4160 4640 5. if the combined sales target to all three destinations over the current period in creased by 5%,what is the total amount of revenue that remains to be earned by the end of this four-week period in order to meet the target ? C
(43200+80000+16000) x105%-11232-12096-21600-19200-4160-4640=73232
6. for the next four-week period ,the intention is to sell 120 tickets to skipdown per week at the same average price.compared to the current four-week period,by what percentage would the revenue target for skipdown increase? A
(40x120x4-1600)/16000=20%
7. how many fewer tickets to hopworth would need to be sold if the average ticket price was increased to 50 GBP and the sales target was to increase to 44,000 GPB? A
43200/48-44000/50=20
8. if 25 seater coaches are used on the jumpford route and all tickets on these coaches were sold , how many coach journeys would need to made during the four-week period to reach the sales target? D
80000/50/25=64
三．The table below shows the commuter population and number of train users for new city: june july aug sept total number of commuters(millions) 3.2 2.4 2.2 2.5 total number of commuters by train(millions) 1.4 1.08 0.88 1.1 commuters using metro train services(%) 20 20 10 15
Note: metro train user levels are based up on a proportion of those who commute using all train services.
oct 3.2 1.7 15
9. assuming the percentage growth trends in total commuters and train commuters between July and September were applied to the period between September an November，what would be the number of non-train commuters in november？ E
(2.50-2.40)/2.40x2.50+2.50=2.604 (1.10-1.08)/1.08x1.10+1.10=1.120 2.604-1.120=1.48
10. in October how many fewer people were non-train commuters compared to train commuters? A
1.70-(3.20-1.70)=0.2
11. if the number of rail commuters in November fell by 0.3 million compared to October , how many rail commuters did not use metro train services if rail commuter usage of metro train services was 15%? C
(1.70-0.3)x(1-15%)=1.19
12.what percentage of communters traveled by train during July but did not use metro train services? E
1.08x(1-20%)/2.40=36%
四．the chart and figures below show a factory’s productivity report over sixteen weeks, divided into 4 equal 4-week periods:
13.what was the difference in units produces between periods 1 and 2, if no overtime was worked? G
(70-50)x4x40x3=9600
14. during period 2 employees worked an average of 4 hours overtime per week , in addition to their standard 40 hours per week . what was the total pay bill for that period? B
50x40x4x6+50x4x4x10=56000 15. if during period 4 productivity fell to 2.4 units per person per hour , by how many would the workforce have to be increased by so as not to affect the total output for that period? E
3/2.4x40-40=10
16. the factory is considering cutting the working week to 38 hours. If they had done this for periods 3 and 4 , how many fewer units would have been produced, if no overtime were worked? C
(40-38)x4x3x(55+40)=2280
五．the table below shows the currency rates in operation for two successive years
17. a travelller buys 8000 thai baht in year 1 , and then year 2 converts some of this amount to 100 euros and the remainder into GBP, what is the amount converted into GBP? C
8000/61.8-100/1.62=67.72
18. if 1000 GBP of euros were purchased in year 1, what would be their approximate value in hong kong dollars when exchanged in year 2? F
1000x1.52/1.62x11.1=10415
19, between year 1 and year 2, what was the approximate change in value (expressed as a percentage) of the thai baht in relation to great British pounds(GBP)?
1年和二年级之间,什么是近似变化值(百分比来表示)的关系,以伟大泰铢(英镑)英镑吗? D
(65.4-61.8)/61.8=5.8% 升值
20. in relation to great British Pounds (GBP), which two currencies have shown the largest proportional change in value between year 1 and year 2? JPY，ＭＹＲ
六．ｔｈｅ table below shows the production statistics for Ruritanian Gold Fields Ltd, over a six-year period: