# FREE TIBCO CCAT Word Problem Question and Answers

#### There are 39 yellow, 52 black, and 26 red marbles in a bag. One marble is removed by Rafael. How likely is it that he will pull out a yellow marble?

Explanation:

Total amount of marbles = 26 + 52 + 39 = 117

of which 39 are yellow so the chance is 39/117 = 1/3

#### Rafael spends €3.40 on three notebooks to record his thoughts. He also purchases 3 rubbers and 6 pencils. Each pencil costs €0.60. Each rubber costs €0.50. A pencil and rubber can be purchased combined for one euro at the moment, according to the merchant. How much is his overall obligation to pay?

Explanation:

Solution:

Notebooks: 3 * € 3,40 = € 10,20

Pencils together with rubbers: 3 * € 1,00 = € 3,00

Pencils separately: 3 * € 0,60 = € 1,80

Total: € 10,20 + € 3,00 + € 1,80 = € 15,00

#### In Venice, Rafael counts 23 boats. There are 14 persons on each of the 2 boats. Four persons are aboard one-third of the remaining vessels. On each of the half of the unspecified boats, there are 3 persons on board. On each of the remaining boats, there are two persons. How many people, all boats put together, are there?

Explanation:

Solution:

Total 23 boats

2 boats * 14 pers. = 28 persons

23 – 2 = 21 boats left

1/3 * 21 boats = 7 boats

7 boats * 4 pers. = 28 persons

21 – 7 = 14 boats left

½ * 14 = 7 boats

7 boats * 3 pers. = 21 person

14 -7 = 7 boats over

7 * 2 = 14 persons

Total = 28 + 28 + 21 + 14 = 91 persons

#### In his brand-new Bugatti Veyron, Rafael travels 380 km/h from Pisa to Milan. He needs 45 minutes. There will be a line of traffic when he returns. He needs 1.5 hours to move through the 15 km-long traffic jam. Next, an 80 km stretch of slow traffic that travels at 40 km/hour follows. He can only travel through the final segment at an average speed of 190 km/hour due to how congested it is. How much time does Leonardo need to drive back?

#### For his 50th birthday, Rafael is seeking for a catering service that can handle the food. The following price ranges are provided to him: Ulti-Eat: €800 call-out fees plus €10 per person; Munchers: €20 per person; Uberchef: €650 call-out fees plus €12 per person; La Cuisine: €1000 call-out fees plus €8 per person. At his birthday celebration, he is expecting 90 people. Which food service is the most affordable?

Explanation:

Solution:

Ulti-Eat: € 800,- + (90 * € 10,-) = € 1700,-

Munchers: 90 * € 20,- = € 1800,-

Uberchef: € 650,- + (90 * € 12,-) = € 1730,-

La Cuisine: € 1000,- + (90 * € 8,-) = € 1720,-

So Ulti-Eat is the cheapest

#### In 17 days, Rafael will release his debut book. The 23rd day of February is today. What date will Rafael release his book?

Explanation:

Solution:

Starting day is Tuesday

Tuesday + 1 week is Tuesday

17 days is 2 weeks (2×7 days) + 3 days

Tuesday + 3 days is Friday

So on Friday

#### It is Friday, June 18th, right now. In 45 days, Rafael will celebrate his wedding anniversary. What day did Rafael tie the knot?

Explanation:

June has 30 days

July has 31 days

18 June + 12 days = 30 June

30 June + 31 days = 31 July

Days left = 45 days – 12 days – 31 days = 2 days

31 July + 2 days = 2 August