Logica (Italia) Flashcards
A political map uses three colours (green, red, and blue) to represent the eight administrative regions that make up the Country. Due to cartographic conventions, different regions may correspond to the same colors, provided that these regions do not directly border each other. We know that:
1. Region D borders C, F, and G (and no others)
2. Region H borders B and G (and no others)
3. region A, B, and E are the only red colors
4. region C is green
5. region G borders with precisely 2 other regions
If region A borders two regions, they will certainly be
A. a green region and a blue region
B. both blue
C. both green
D. the same color but it is impossible to determine which
E. a green region and red region
C. both green
An encylcopaedia consists of 8 volumes of 600 pages each. If the volumes are normally arranged side by side in a bookcase, how many pages are there counting all the pages in the interval between the last page of the second volume and the first page of the sixth volume?
A. 4200
B. 3000
C. 3000
D. 3600
E. 2400
C. 3000
In a sample population, 25% of the interviewees eat vegetables every day, 10% eat bread every day and 5% eat both bread and vegetables every day. If you choose an interviewee at random and they say that they eat vegetables, what is the probability that they also eat bread every day?
A. 5%
B. 25%
C. 40%
D. none of the options are correct
E. 20%
E. 20%
Five friends who love cooking, each of them working in a different field, enroll for a cooking class. During the first meeting, participants are asked to prepare their favorite dish. We know:
1. The friend who works as a fireman makes delicious lasagna, but isn’t Anthony
2. Steven, whose surname is not Newman, is not a factory worker
3. Mr. Branson owns a shop. John, whose surname is not Martin, is a bartender and doesn’t make veal with escalopes with lemon sauce
4. Paul cooks chicken chasseur but he is not a factory worker. Anthony’s surname is not Newman.
5. Frank Gibson doesn’t make veal escalopes with lemon sauce. Steven, whose surname is not Martin, cooks an excellent sirloin steak and is not a clerk.
6. Mr. Sassen, whose name is not Anthony, prepares calamari following a recipe of his mother’s and he is not a clerk
Based only on information 1,2,3 and 4, which of the following can be inferred with certainty from the text?
A. Steven is neither a factory worker nor a clerk
B. John made sirloin steak or calamari or escalopes
C. Mr. Newman is a factory worker
D. Paul is not a bartender but his surname is certainly either Branson or Gibson
E. The factory worker is either Anthony or Frank
A beauty company increased its turnover by 6% from Year 1 to Year 2. Knowing that a further 10% increase was reported from Year 2 to Year 3, what was the percentage to increase from Year 1 to Year 3?
A. It cannot be determined without knowing the turnover for Year 1
B. 18%
C. 15.5 %
D. 16%
E. 16.6%
“If you practice on the computer diligently, then you will pass the final test for the European Computer Driving License. Only if you pass the final test for the European Computer Driving License can you obtain the License.” If these statements are true, which of the following is certainly NOT true?
A. If you obtained the License, then you practiced on the computer diligently
B. Practicing on the computer is the sufficient condition to pass the final test for the License
C. If you do not pass the last test for the License, you did not practice on the computer diligently
E. Passing the last test for the License is the necessary condition for obtaining the License
A. If you obtained the License, then you practiced on the computer diligently
The underground system of Belleville City has seven lines, each represented by a different color: orange, navy, turquoise, pink, yellow, purple, and lilac. We also know that:
1. Central Station and City Zoo station are both served by four lines; however, the same four lines do not serve both stations
2. aside from the stations referred to in point 1, all the other stations on the network are served by either one or three lines
3. the navy, turquoise and yellow lines intersect at the Science Museum station; the turquoise and yellow lines but not the navy line intersect at Balsa Park station
4. the pink, purple, and lilac stations intersect at Grand Bridge station
5. each line intersects with precisely three others (not necessarily just once, but always at a station); the yellow line alone is the exception to this rule
Which lines does the orange line intersect with?
A. navy, turquoise, and yellow
B. navy, turquoise and pink
C. pink, yellow and purple
D. yellow, purple and lilac
E. pink, purple and lilac
A. navy, turquoise and yellow
“Near a lake the climate is always mild. Paris has a mild climate.” Based on the previous information, which of the following statements is certainly correct?
A. Paris is near a lake
B. Paris is not near a lake
C. None of the answers are correct
D. Cities with a mild climate are all by a lake
E. To enjoy a mild climate you must go near a lake
C. None of the answers are correct
Little Aline is playing with tesserae made of wood, all in the shape of an equilateral triangle and all the same size. By placing her tesserae side by side, she makes a large equilateral triangle. Considering the size of each tesserae as the unit of measurement ‘u’, how much is the perimeter of the triangle she makes?
A. 93 u
B. 120 u
C. 90 u
D. 60 u
E. 30 u
C. 90 u
A group of friends is visiting the renowned city of Civitabella where the following attractions are found: the Town Hall, the Cathedral, the Royal Palace, the Gardens, the Wax Museum, and the Euripedes Theater. The friends want to visit the attractions together, but each has got specific requirements:
1. everyone agrees on waking up early bc they want to visit at least two attractions in the morning before lunch
2. Claire and martine want to visit the Royal Palace after dinner for a better atmosphere
3. James knows an excellent restaurant close to the Town Hall and Wax Museum so these places will be visited around lunch (one before and one after)
4. Adrian has got a medical condition and will visit a max of 3 places in morning and 3 in afternoon
5. Euripedes Theatre must be visited in the morning
According to the schedule, the second attraction to be visited during the day will be
A. the Euripedes Theatre
B. the Town Hall
C. it cannot be determined
D. the Wax Museum
E. the Gardens
C. it cannot be determined
Eugenia has 9 coins in her pocket, for a total of 3.48 euros. It’s known that:
1.there are cuts of 2, 1, 50 cents, 20 cents, 10 cents, 5 cents, 2 cents, and 1 cent
2. two coins are bimetallic (composed of two metals like the 1 and 2 euro coins)
3. there is at least 1-cent coin
4. the total amount of the copper coins (like the 1,2,5 cent ones) is equal to 8 cents
5. there aren’t any 10 cent coins
When asked “Can you change a 5-cent coin into smaller change?”, what will Eugenia answer?
A. That she can, proposing the combination 2+2+1 or the combination 2+1+1+1
B. No I can’t
C. It cannot be determined
D. That she can, but only if the other person accepts 2+1+1+1
E. That she can, but only if the other person accept 2+2+1
C. It cannot be determined
Find the hidden code, formed by a sequence of 4 colors to be identified among the following 8: Red, Pink, Green, Bordeaux, Amaranth, Fuchsia, Hazelnut, and Mauve.
For every wrong sequence, two kinds of symbols are indicated: WP for every correct color in the correct position, or MP for every color that is present but in the wrong position
1. Green - Red - Bordeaux - Bordeaux (2 MP)
2. Pink - Green - Red - Amaranth (2 MP)
3. Mauve - Fuchsia - Green - Red (2 MP)
4. Red - Hazelnut - Hazelnut - Green (1 WP)
5. Red - Bordeaux - Amaranth - Mauve (1 MP)
A. Bordeaux - Pink - Fuchsia - Green
B. Bordeaux - Fuchsia - Amaranth - Green
C. Red - Bordeaux - Green - Hazelnut
D. Red - Hazelnut - Fuchsia - Green
E. Pink - Pink - Bordeaux - Green
A. Bordeaux - Pink - Fuchsia - Green
Harry is turning 9 years and his parents are throwing a party. His five older brothers - Arthur, Bernard, Charlie, Dan, and Frankie - are taking part. We know that
1. one of the brothers’ age is double Harry’s age, and another is three times Harry’s
2. Arthur is 9 years older than Bernard
3. Charlie is 8 years older than Dan
4. Frankie’s age is exactly the arithmetic mean of Charlie’s and Harry’s ages
5. Dan is older than Frankie
6. the eldest brother is 29
Harry’s mother is 50 years old. She was 37 when Dan was 6. Back then, Charlie was:
A. 16
B. 27
C. 18
D. 14
E. 12
D. 14
At a summer camp there are 738 children from Italy, 918 from France and 702 from Greece. The director wants to split the children into the largest number of equal groups with the same number of children from each country in each group. How many children will make up each group?
A. 41
B. 39
C. 51
D. 18
E. 131
E. 131
Two cyclists race one against the other on a 500-m circular track, leaving together from the starting line and each one doing ten laps. Knowing that the first cyclist travels at a speed of 35 km/h and the second one travels at a speed of 20 km/h, when will the first cyclist overtake the second for the fourth time?
A. ninth lap
B. fifth lap
C. tenth lap
D. eighth lap
E. fourth lap
C. during the tenth lap
how is a mirror reflection different from a water reflection?
mirror reflection - top and bottom stay the same, left and right sides switch
water reflection - top and bottom switch, sides stay the same
36 workers would finish a given job in 36 days. How many workers would need to be added to finish the same job in 27 days?
A. 18
B. 24
C. 6
D. 30
E. 12
E. 12
Sheila has got 6 identical bracelets. One of them, however, is heavier than the others. If she has a scale with two platforms, how many weighings will she need to find the heaviest bracelet?
A. 5
B. 2
C. 6
D. 3
E. 4
B. 2
“Michael and Daniel must change office so that Annie can work with Martha.” If this sentence is true, which of the following statements is FALSE?
A. If Michael and Daniel change office, Annie will certainly work with Martha
B. If Michael and Daniel don’t change office, Annie will not work with Martha
C. If Annie works with Martha, it is because Michael and Daniel have changed office
D. Michael and Daniel change office, but this is not sufficient for Annie to work with Martha
E. Annie will work with Martha provided that Michael and Daniel change office
A. If Michael and Daniel change office, Annie will certainly work with Martha
“The non-existence of such a thought cannot be denied.” This phrase is tantamount to saying that:
A. denying the existence of such a thought is a duty
B. the existence of such a thought must be asserted
C. one may think, but not like that
D. such a thought cannot exist
E. the existence of such a thought cannot be asserted
B. the existence of such a thought must be asserted
“If you practice on the computer diligently, then you will pass the final test for the European Computer Driving License. Only if you pass the final test for the European Computer Driving License can you obtain the European Computer Driving License.” If these statements are true, which of the following is certainly NOT true?
A. Passing the last test for the European Computer Driving License is the necessary condition for obtaining the European Computer Driving License
B. Practicing on the computer is the sufficient condition to pass the final test for the European Computer Driving License
C. If you obtained the European Computer Driving License, then you passed the final test for the European Computer Driving License
D. If you obtained the European Computer Driving License, then you practiced on the computer diligently
E. If you do not pass the last test for the European Computer Driving License, you did not practice on the computer diligently
D. If you obtained the European Computer Driving License, then you practiced on the computer diligently
A patient is admitted to the ER with difficulty breathing, fever, and a headache. After examining the patient, med students came up with possible diagnoses:
Infection by Pathogen W, which causes all declared symptoms as well as a rash and often presents with confusion and high blood pressure
Genetic condition X, which can cause difficulty breathing and high blood pressure
Poisoning by poison Y, as it fits with all declared symptoms and in severe cases can cause memory loss
Infection by pathogen Z, which causes fever, difficulty breathing, blisters on the back, and sometimes high blood pressure
Which examination would rule out the greatest number of these diagnoses?
A. examining the patient’s skin
B. testing the patient’s blood for genetic conditions
C. all the examinations would rule out the same number of diagnoses
D. taking the patient’s blood pressure
E. measuring the patient’s cognitive ability
A. examining the patient’s skin
“Andrew listens to classical music; sensitive people listen to classical music; sensitive people read a lot”
If these statements are true, which of the following is necessarily true?
A. Andrew is a sensitive person
B. Those who listen to classical music also read a lot
C. Andrew reads a lot
D. Those who read a lot and listen to classical music are all sensitive people
E. People who read a lot do not necessarily listen to classical music
E. People who read a lot do not necessarily listen to classical music
Tram number 2 and tram number 11 stop at the same station every five minutes, at set times and right on time. A student who can catch either tram arrives at the stop every day between 8am and 8.05 am and has a 40% chance of catching tram number 2 at 8.03 am. At what time does tram number 11 come by?
A. it cannot be determined
B. 8am and 8.05 am
C. 8.02 am
D. 8.04 am
E. 8.01 am
E. 8.01 am
“All birds can fly; Cheep Cheep is a bird; any winged animal is a bird.” Based on the previous information, which of the following statements does NOT represent a correct conclusion?
A. an animal that is not a bird has no wings
B. Cheep Cheep may not have wings
C. an animal with no wings is not a bird
D. a winged animal can fly
E. Cheep Cheep can fly
C. an animal with no wings is not a bird
