Stuart // Operations Analytical Test

1

A courier plans to deliver six sites: S1, S2, … S6. If those 6 deliveries can be arranged in any order, except that S3 must be delivered before S2, how many combinations are possible to complete the delivery?

1

Out of Stuart first 100 employees, 75 have at least one MacBook, 80 have at least one iPhone, and 55 have at least one iPad. What is the difference between the greatest and lowest possible number of employees that have all three of these devices?

1

In a Stuart city, a bicycle rider delivers x packages in b minutes while a pedestrian would deliver the same x packages in p minutes, where b<p. If both began to deliver at the same time and it took t minutes to deliver together the x packages, which of the following must be true?
I. 0 < t < p
II. b < t < p
III. b/2 < t < p/2

1

Out of 100 Stuart couriers, 45 of them are bicycle riders and more than 38 are pedestrians. x are both and 2x are neither. What is the greatest possible number of couriers who are both bicycle rider and pedestrian?

1

On average in London, businesses request a Stuart courier every two minutes; in Paris, because French are a bit lazy, requests occur every five minutes. The number of times the Brits request a courier in a 12 hour period is what percent greater than the number of times the French would request a Stuart?

1

Assume Stuart launches a new city in January, and for simplicity Sales and Operations operate in sequence. First, from January through April, sales team secures each month new contracts with local businesses, equivalent to x new deliveries (per month). Only then Operations start (beginning of May) with businesses requesting on average x/2 couriers every month from May through December. If the packages that had not been shipped at end of each month cost Stuart $1 (per package per month), what is the total cost for Stuart, in dollars, for the 12 month period?

1

Courier B starts at point Z and moves clockwise around a circular track at a rate of 2 km/h. 1 hour later, Courier A leaves from point Z and travels opposite direction (to Courier B) around the same circular track at a constant rate of 3 km/h. If the radius of the track is 1 km, for how many hours will Courier B have been traveling when the couriers have passed each other for the first time and put another 1.2 km between them (measured around the curve of the track)?
NB: Track distance equals 2 * pi * radius

1

Out of 78 Stuart couriers in Europe, 41 speak French, 22 speak Spanish. Of the couriers speaking French or Spanish, 9 speak both languages. How many couriers do not speak either language?

1

Assume the delivery cycle for one business is constant. Couriers all start at Point S (Stuart’s office). It takes one courier 10mn to go and pick up the package from the business (point A), 20mn to deliver the package to the recipient (point B) and 5mn to go back to point A to pick-up a new package. When a courier gets to point B, a new courier starts a new delivery. Which of the following could not be the duration of x deliveries in minutes?
NB: do not try to estimate x

1

A Stuart courier has to deliver points B and C in any order. The tracks connecting the two points with his base are shown on the left. How many different tracks can he take starting from A, going through both B and C, and returning to A (but not more than once through each) and not taking any track twice on the same trip?

1

[FOR INFO ONLY - NOT A QUESTION]
For each of the following questions (#12 to #26), please assess what information is required to answer the question:
- Statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer
- Statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer
- Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
- Each statement alone is sufficient
- Statements 1 and 2 together are not sufficient, and additional data is needed to answer
Got it ?

1

How many male couriers in a community of 50 couriers are bicycle riders?
(1). There are 10 female couriers in the community
(2). Forty percent of the couriers are bicycle riders

1

A certain courier has to deliver 4 points located on a straight line, A, B, C and D (in that order). How far apart are points B and C?
(1). The distance between points B and D is 8 meters
(2). The distance between points A and C is 10 meters

1

Two couriers are randomly picked from a community comprising only pedestrians and bicycle riders (as opposed to car drivers for instance). What is the probability that both are pedestrians?
(1). The probability of the first courier being bicycle rider is 1/4
(2). There are 20 pedestrian couriers in the community

1

A courier has to deliver x packages. He is operating at a uniform rate. At what time does he finishes the x deliveries?
(1). He starts at 1pm
(2). He delivered half of the packages at 5pm and three-quarters at 7pm on the same day

1

Every Stuart courier in a city is given one ticket for a show. Stuart is charged a total of $2000 for these tickets, all of which are of equal value. What is the price of one ticket?
(1). If the price of each ticket had been $1 dollar less, the total cost would have been 1,000 less
(2). If the price of each ticket had been $3 more, the total cost would have increased by 30%

1

How long does it take John to deliver his first package in the morning? NB: He did not stop.
(1). If he had driven twice as fast he would have taken 10 minutes
(2). His average speed was 20 miles per hour

1

Assume each courier in a specific city area delivers 20 packages a day, both cycling and walking (requests for cycling and walking rides are constant every day). The ratio of cycling to walking varies from courier to courier, but each courier use both transportation modes each day. How many couriers are there in the area?
(1). Courier A performed exactly 1/4 of the cycling rides of the area today
(2). Courier A performed exactly 1/6 of the walking rides of the area today

1

Thanks to a successful efficiency program, Stuart managed to decrease the duration of each delivery while keeping the price per delivery identical (assume delivery time constant). By how many cents did the per hour cost of delivery change after the reduction in delivery time?
(1). The delivery time reduced by 2 minutes
(2). The delivery time reduced by 10%

1

A flower shop sold a total of 90 bouquets during the 7 days last week and it sold different numbers of bouquets on any 2 days. If for the seven days the florist sold the greatest number of bouquets on Saturday and the second greatest number on Friday, did the florist sell more than 11 bouquets on Friday?
(1). Last week flower shop sold 8 bouquets on Thursday
(2). Last week flower shop sold 38 bouquets on Saturday

1

A certain Stuart community is comprised of 8 bicycle riders and y pedestrians. If John requests 2 couriers at random from this community, is it more likely that he will have 2 bicycle riders than that he will have one bicycle rider and one pedestrian?
(1). y ≤ 8
(2). y ≥ 4

1

Couriers A and B deliver at their respective uniform rates. How many more minutes does it take Courier B, working alone, to deliver x packages than it takes Courier A, working alone?
(1). Couriers A and B, working together, deliver the same x packages in 2/3 the time that Courier A, working alone, does
(2). Courier B, working alone, delivers the same x packages in twice the time that Courier A, working alone, does

1

If 2 different couriers are to be randomly selected from a community of 10 couriers and if p is the probability that both selected will be women, is p > 1/2?
(1). More than 1/2 of the 10 couriers are women
(2). Probability that both selected are men is less than 1/10

1

In 2015, Stuart delivers X thousands packages per day when the direct competitor delivers Y thousands packages per day. In a day, is the number of packages delivered by Stuart greater than three times the number of packages delivered by its competitor?
(1). On a per-day basis in 2015, Stuart delivered 1,000 more packages than its competitor
(2). Stuart’s competitor can deliver between 400 and 1,400 packages per day

1

After a long and successful career, Clement B. is retiring. If 25 colleagues contribute equally to a gift for Clement, what is its total value (assume it is an integer)?
(1). If 4 colleagues were asked to leave, the total value of the gift would decrease by $200
(2). Value of the gift is greater than $1,225 and less than $1,275

1

A Stuart community contains female and male couriers, either delivering by walk or bike (not both). How many couriers are in the community?
(1). 2/3 of the couriers are walking and one-quarter of the books are female
(2). Fewer than 30 couriers are male and more than 10 are cycling

Stuart // Operations Analytical Test

A courier plans to deliver six sites: S1, S2, … S6. If those 6 deliveries can be arranged in any order, except that S3 must be delivered before S2, how many combinations are possible to complete the delivery?

Out of Stuart first 100 employees, 75 have at least one MacBook, 80 have at least one iPhone, and 55 have at least one iPad. What is the difference between the greatest and lowest possible number of employees that have all three of these devices?

Out of 100 Stuart couriers, 45 of them are bicycle riders and more than 38 are pedestrians. x are both and 2x are neither. What is the greatest possible number of couriers who are both bicycle rider and pedestrian?

Out of 78 Stuart couriers in Europe, 41 speak French, 22 speak Spanish. Of the couriers speaking French or Spanish, 9 speak both languages. How many couriers do not speak either language?

How many male couriers in a community of 50 couriers are bicycle riders? (1). There are 10 female couriers in the community (2). Forty percent of the couriers are bicycle riders

A certain courier has to deliver 4 points located on a straight line, A, B, C and D (in that order). How far apart are points B and C? (1). The distance between points B and D is 8 meters (2). The distance between points A and C is 10 meters

A courier has to deliver x packages. He is operating at a uniform rate. At what time does he finishes the x deliveries? (1). He starts at 1pm (2). He delivered half of the packages at 5pm and three-quarters at 7pm on the same day

How long does it take John to deliver his first package in the morning? NB: He did not stop. (1). If he had driven twice as fast he would have taken 10 minutes (2). His average speed was 20 miles per hour

A certain Stuart community is comprised of 8 bicycle riders and y pedestrians. If John requests 2 couriers at random from this community, is it more likely that he will have 2 bicycle riders than that he will have one bicycle rider and one pedestrian? (1). y ≤ 8 (2). y ≥ 4

If 2 different couriers are to be randomly selected from a community of 10 couriers and if p is the probability that both selected will be women, is p > 1/2? (1). More than 1/2 of the 10 couriers are women (2). Probability that both selected are men is less than 1/10

How many male couriers in a community of 50 couriers are bicycle riders?
(1). There are 10 female couriers in the community
(2). Forty percent of the couriers are bicycle riders

A certain courier has to deliver 4 points located on a straight line, A, B, C and D (in that order). How far apart are points B and C?
(1). The distance between points B and D is 8 meters
(2). The distance between points A and C is 10 meters

A courier has to deliver x packages. He is operating at a uniform rate. At what time does he finishes the x deliveries?
(1). He starts at 1pm
(2). He delivered half of the packages at 5pm and three-quarters at 7pm on the same day

How long does it take John to deliver his first package in the morning? NB: He did not stop.
(1). If he had driven twice as fast he would have taken 10 minutes
(2). His average speed was 20 miles per hour

A certain Stuart community is comprised of 8 bicycle riders and y pedestrians. If John requests 2 couriers at random from this community, is it more likely that he will have 2 bicycle riders than that he will have one bicycle rider and one pedestrian?
(1). y ≤ 8
(2). y ≥ 4

If 2 different couriers are to be randomly selected from a community of 10 couriers and if p is the probability that both selected will be women, is p > 1/2?
(1). More than 1/2 of the 10 couriers are women
(2). Probability that both selected are men is less than 1/10

A Stuart community contains female and male couriers, either delivering by walk or bike (not both). How many couriers are in the community?
(1). 2/3 of the couriers are walking and one-quarter of the books are female
(2). Fewer than 30 couriers are male and more than 10 are cycling