Free TIBCO CCAT Word Problem Question and Answers ā Questions and Answers
Question 1: It is Friday, June 18th, right now. In 45 days, Rafael will celebrate his wedding anniversary. What day did Rafael tie the knot?
- 31st of August
- 2nd of August (Correct answer)
- 3rd of August
- 1st of August
Correct answer: 2nd of August
Explanation: <br> June has 30 days <br> July has 31 days <br> 18 June + 12 days = 30 June <br> 30 June + 31 days = 31 July <br> Days left = 45 days ā 12 days ā 31 days = 2 days <br> 31 July + 2 days = 2 August
Question 2: In 17 days, Rafael will release his debut book. The 23rd day of February is today. What date will Rafael release his book?
- Friday (Correct answer)
- Not enough information given for an accurate calculation
- Thursday
- Saturday
Correct answer: Friday
Explanation: <br> Solution: <br> Starting day is Tuesday <br> Tuesday + 1 week is Tuesday <br> 17 days is 2 weeks (2Ć7 days) + 3 days <br> Tuesday + 3 days is Friday <br> So on Friday
Question 3: 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: ā¬800 call-out fees plus ā¬10 per person; Munchers: ā¬20 per person; Uberchef: ā¬650 call-out fees plus ā¬12 per person; La Cuisine: ā¬1000 call-out fees plus ā¬8 per person. At his birthday celebration, he is expecting 90 people. Which food service is the most affordable?
- La Cuisine
- Uberchef
- Ulti-Eat (Correct answer)
- Munchers
Correct answer: Ulti-Eat
Explanation: <br> Solution: <br> Ulti-Eat: ⬠800,- + (90 * ⬠10,-) = ⬠1700,- <br> Munchers: 90 * ⬠20,- = ⬠1800,- <br> Uberchef: ⬠650,- + (90 * ⬠12,-) = ⬠1730,- <br> La Cuisine: ⬠1000,- + (90 * ⬠8,-) = ⬠1720,- <br> So Ulti-Eat is the cheapest
Question 4: 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?
- 84 persons
- 91 persons (Correct answer)
- 63 persons
- 98 persons
Correct answer: 91 persons
Explanation: <br> Solution: <br> Total 23 boats <br> 2 boats * 14 pers. = 28 persons <br> 23 ā 2 = 21 boats left <br> 1/3 * 21 boats = 7 boats <br> 7 boats * 4 pers. = 28 persons <br> 21 ā 7 = 14 boats left <br> ½ * 14 = 7 boats <br> 7 boats * 3 pers. = 21 person<br> 14 -7 = 7 boats over <br> 7 * 2 = 14 persons <br> Total = 28 + 28 + 21 + 14 = 91 persons
Question 5: 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?
- 4 hours
- 4,5 hours (Correct answer)
- 5 hours
- 3 hours
Correct answer: 4,5 hours
First, calculate the total distance: 380 km/h * (45/60) h = 285 km. For the return journey, sum the times for each segment: 1.5 hours for the traffic jam, (80 km / 40 km/h) = 2 hours for the slow traffic, and ((285 - 15 - 80) km / 190 km/h) = (190 km / 190 km/h) = 1 hour for the final segment. The total return time is 1.5 + 2 + 1 = 4.5 hours.
Question 6: Rafael spends ā¬3.40 on three notebooks to record his thoughts. He also purchases 3 rubbers and 6 pencils. Each pencil costs ā¬0.60. Each rubber costs ā¬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?
- ⬠16.20
- ⬠8.20
- ⬠15.00 (Correct answer)
- ⬠15.30
Correct answer: ⬠15.00
Explanation: <br> Solution: <br> Notebooks: 3 * ⬠3,40 = ⬠10,20 <br> Pencils together with rubbers: 3 * ⬠1,00 = ⬠3,00 <br> Pencils separately: 3 * ⬠0,60 = ⬠1,80 <br> Total: ⬠10,20 + ⬠3,00 + ⬠1,80 = ⬠15,00
Question 7: 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?
- 1/2
- 1/39
- 2/9
- 1/3 (Correct answer)
Correct answer: 1/3
Explanation: <br> Total amount of marbles = 26 + 52 + 39 = 117 <br> of which 39 are yellow so the chance is 39/117 = 1/3
It is Friday, June 18th, right now.
In 45 days, Rafael will celebrate his wedding anniversary.
What day did Rafael tie the knot?