10 Questions

Questions and Answers

- 1.There is a parking lot with 100 red and blue cars in it. 40% of the cars are red, and 70% of the red cars have radios, whereas 20% of the blue cars do not have radios.What is the probability that the car is red given that you already know that it has a radio?
- A.
7/25

- B.
47/100

- C.
22/25

- D.
37/100

- E.
52/45

- 2.There is a parking lot with 100 red and blue cars in it. 40% of the cars are red, and 70% of the red cars have radios, whereas 20% of the blue cars do not have radios.What is the probability of selecting a car at random that is either red or has a radio?
- A.
7/25

- B.
22/25

- C.
19/25

- D.
29/25

- E.
Cannot say from the data given

- 3.If miles per gallon goes up by 50%, what happens to gallons per mile?
- A.
Goes up by 50%

- B.
Goes down by 50%

- C.
Goes down by 2/3

- D.
Goes down by a third

- E.
Cannot say from the data given

- 4.Companies A, B and C all invested in buying a new building. There were no other investors. Company A paid £10m more than 1/4 of the cost of the building while Company B paid £5m less than 1/3 of the cost. Company C contributed £15m. How much did the building cost?
- A.
£24m

- B.
£33m

- C.
£48m

- D.
£55m

- E.
£72m

- 5.At the start of the year, half of the money in a fund was invested in stocks earning 10% a year, 25% invested in bonds earning 8% a year, 1/5 invested in a mutual fund losing 5% a year and the remaining £10,000 was in a non-interest-bearing account. At the end of the year, by what proportion has the fund increased?
- A.
5.75%

- B.
6.0%

- C.
6.6%

- D.
7.4%

- E.
Cannot say from the data given

- 6.Last year, sales of children’s bicycles accounted for one third of total bicycle sales in the U.K. This year, the total market grew by 20% and sales of children’s bicycles are 90% of what they were last year. By how much did the sales of other bicycles grow relative to their sales last year?
- A.
13.5%

- B.
16 2/3%

- C.
23 1/3%

- D.
35%

- E.
Cannot say from the data given

- 7.Carco is a company which sells only 2 models of cars: A and BCarco sold each Model B for £10,000 in 1991. What was the approximate value of total Model B sales income in 1995?
- A.
£21m

- B.
£95m

- C.
£210m

- D.
£437m

- E.
£620m

- 8.Carco is a company which sells only 2 models of cars: A and BCarco’s total sales income for Model B in 1993 equalled half the sales income of Model A in the same year. Given that Carco sold each Model B for £10,000 in 1991, what was the selling price of each Model A in 1993?
- A.
£4,400

- B.
£11,000

- C.
£13,200

- D.
£24,200

- E.
£110,000

- 9.The table below shows the average spend per shopper in each of my three stores. My store in Nottingham only has three quarters as many shoppers as my Manchester store. However, my Liverpool store has twice as many shoppers as the Manchester store. What is the average spend per shopper over all the shoppers in all my three stores? StoreAverage spend per shopperNottingham£20Manchester£25Liverpool£10
- A.
£12

- B.
£14.67

- C.
£16

- D.
£18

- E.
£20

- 10.A life insurance company is looking for external employees (agents) and for employees in the headquarters. An agent earns three times as much as an employee in the headquarters. The company needs 30 employees in the headquarters and 90 agents. How large is the share of the salary of one agent on the total payroll paid out?
- A.
0.09%

- B.
0.25%

- C.
0.33%

- D.
1.00%

- E.
1.70%