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Pos. | Name | Entered on | Points | Result |
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Five people were eating oranges. Anna finished before Ben, but behind Chris. Dennise finished before Emma, but behind Ben.
What was the finishing order?
Greg is about to go to school. From Greg’s house, he has to walk 10 metres east, 5 metres south, and then 3 metres west.
Which of the following is true based on the statement above?
Mich and Karen decided to play tennis against each other. They bet $1 on each game they played. Mich won three bets and Karen won $5.
How many games did they play?
Statements:
All cups are blue.
All blue are black.
No black is pink.
Conclusions:
I. No cup is pink
II. Some black are blue.
Given all statements true, which of the following conclusions follow?
Martin owns a food truck in Melbourne. One evening, five customers returned to his truck complaining that they had been experiencing extreme stomach pains and vomiting after eating the sandwich he prepared. |
Courses of Action:
I. Ensure the customers that the sandwiches are not the reason why they’re experiencing extreme stomach pains and vomiting. Suggest to them that they should go to the hospital.
II. Acknowledge the complaints of the customers and have the sandwiches tested to see if it is the reason why the customers are complaining.
Which of the following courses of action logically follows?
People of different races, religions, abilities, and interests populate large cities. In major cities, there is an abundance of theatres, music, and dance performances. People living in big cities are more versatile than those in small cities.
Which of the following statements, if true, best strengthens the above argument?
Mark wants to buy a dog and has a list of the top four breeds he is considering. However, he can’t decide which breed to choose. Therefore, he asked his friends to rate the breeds on his list on a scale of 1 to 100.
DOG BREED | Claire | June | Sam | Keith |
Shih Tzu | 4 | 7 | 40 | 15 |
Bulldog | 25 | 18 | 40 | 3 |
German Shepherd | 44 | 18 | 40 | 64 |
Poodle | 44 | 57 | 40 | 18 |
Whose pie chart is being represented?
An amusement park would be set up in Nelly’s neighbourhood for the month of December. Admission tickets are needed to enter the park. Nelly wants to go on the following dates of December: 17,18,19,20,21,25 and 27.
The prices of the tickets are as follows:
Pass for 1 day | Pass for 3 days | Pass for 5 days |
$3 | $7 | $10 |
How much is the cheapest valid combination Nelly could use?
Logic Games:
Andy has 53 SOCKS in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark.
How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
Some cakes are sweets. Some sweets are chocolates. |
Conclusions:
I. Some chocolates are cakes
II. No cake is chocolate.
If the information in the box is true, which of the following conclusions follows?
The final exam for grade 5 students of Meteor Elementary School was conducted last December 15, 2022. Shown in the table below are the number of students who took the exam and the number of students who passed the examination from each section.
SECTION | TOTAL NUMBER OF STUDENTS | TOTAL NUMBER OF PASSERS |
Daffodil | 45 | 39 |
Rose | 50 | 48 |
Sunflower | 45 | 30 |
Cattleya | 50 | 35 |
How many sections had more than 90% passing rate?
Five groups in a bowling tournament received up to 115 points in each game. The results for the first 3 games are shown in the table below:
GROUP NAME | GAME 1 | GAME 2 | GAME 3 |
Alpha | 115 | 112 | 100 |
Bravo | 101 | 97 | 89 |
Charlie | 100 | 112 | 105 |
Delta | 96 | 107 | 113 |
Echo | 78 | 115 | 99 |
One group will definitely win the tournament outright if they score enough points in game 4.
What is the minimum score that this group needs to guarantee the win?
Consider the following statements:
If these are all true, which of the following conclusions must be true?
Lisa used the binary number system of coding to send a message to her friend Aira.
If the message “AIRCRAFT” is written as
1000001 1001001 1010010 1000011 1010010 1000001 1000110 1010100
What is the code for TRAFFIC?
All cars are things. No things are light. |
Conclusions:
I. No cars are light.
II. At least some things are cars.
If the statements in the box are true, which of the following conclusions follow?
In each of the following questions, two statements numbered I and II are given. There may be a cause-and-effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may be independent causes or effects without having any relationship.
Statements:
I. Kevin is highly active in his academic studies and was even the top of his class from Term 1 to Term 3. However, Kevin’s grades went down by 30% during Term 4.
II. Kevin got caught up in online games for the duration of Term 4.
Which of the following must be true?
Bea owns a mini mart. Each week, she has a special offer on some of the products that she sells. She advertises these offers by comparing her prices to one of the other mini marts. Each week, the comparison is based on the ingredients for a certain dish or dessert.
This week, the comparison will be based on a delicacy called Mango Float. The ingredients and their prices at the other mini marts are shown in the table below.
Item | Other Mini Marts |
Fresh Ripe Mangoes | $2.75 |
Condensed Milk | $1.25 |
All Purpose Cream | $1.50 |
Crackers | $1.00 |
One of each item is needed to make the Mango Float. Bea wants to advertise that it is 10% cheaper to buy all the ingredients for a Mango Float from her mini mart. She decided that she would sell the condensed milk for $1.15, the all-purpose cream for $1.25, and the crackers for $0.75.
At what price should she sell the fresh ripe mango?
Burt and his friends are going to the amusement park. Before leaving their house, Burt’s mother gave him nine tokens. Burt wants to participate in 6 different booths: 2 booths require 12 tokens each, 3 booths require 4 tokens each, and the one other booth requires 5 tokens each. Burt will buy the exact number of tokens that he needs to be able to participate in all the booths he wants. The prices of the tokens are shown below.
PROMO | NUMBER OF TOKENS | PRICE |
COMBO 1 | 1 | $1 |
COMBO 2 | 5 | $3.50 |
COMBO 3 | 20 | $11 |
How much would Burt spend for all the tokens he needs if he wants to avail the least number of combos?
Ellise wants to buy 20 Blackpink concert tickets. Four shops sell the tickets she wants for $7.50. These shops recently issued promos for their tickets since it is near christmas. The prices are then changed in accord to the promos listed below:
SHOP | PROMO |
---|---|
SHOP A | 20% off on the first two items |
SHOP B | Buy 3, get 2 free |
SHOP C | Regular Price |
SHOP D | 20% off on the total bill |
Ellise wants to buy all the tickets from one store and spend as little as possible.
Which shop should Ellise buy the tickets from?
Statements:
All squares are shapes.
No shape is a colour.
Conclusions:
I. No square is a colour.
II. At least some shapes are square.
Given all statements true, which of the following conclusions follow?
The education of elementary and highschool students on the topic of waste management lends support to the movement toward sustainable resource management as well as the establishment of environmental laws pertaining to the protection of natural resources. Education and information campaigns should be increased by environmental organisations in order to pique the interest of the students and encourage their participation in the process of making changes.
Which of the following best strengthens the argument above?
Sam was instructed by his mother to buy ingredients for macaroni in the supermarket. For him to reach the supermarket, Sam needs to ride his bicycle 5 km west, 4 km north and 2 km east.
Which of the following is true based on the statement above?
A class of 35 students were asked to choose their favourite teacher. The result are as follows:
Sir Marcus | 7 |
Ms. Carla | 14 |
Mrs. Steph | 4 |
Sir Ian | 10 |
No other teachers were chosen.
The information was compiled to construct a pie chart. However, one of the colours was missing. As a result, this pie chart was made.
Some dogs are family. Some friends are dogs. |
Conclusions:
I. No family is a friend.
II. At least some families are dogs.
If the statements in the box are true, which of the following conclusions follow?
Cathy used the binary number system of coding to send a message to her friend Mona.
If the message “HYPOTHESIS” is written as
1001000 1011001 1010000 1001111 1010100 1001000 1000101 1010011 1001001 1010011
What is the code for ISOTYPE?
Micah needs to buy some skincare products because she noticed that her face is starting to break out. She needs 1 bottle of toner, 1 bottle of moisturiser, 2 bottles of facial foam, and 8 sachets of pimple patch. There are four shops that she can choose from. The shops and prices of the products are listed on the table below.
ITEM | SHOP A | SHOP B | SHOP C | SHOP D |
Bottle of Toner | $7.50 | $9 | $12 | $10 |
Bottle of Moisturiser | $10 | $9 | $14 | $7 |
Bottle of Facial Foam | $8 | $10 | $9 | $9 |
Sachet of Pimple Patch | $4 | $3 | $4 | $3 |
Micah wants to buy from the cheapest shop because she doesn’t want to spend too much money on skincare products.
How much would she only have to pay if she uses her 10% discount card?
Mary wants her dinner in a restaurant in their anniversary promo. She wanted to experience all of their expensive dishes. The services offered in the restaurant are as follows:
MENU | PRICE | AMOUNT PAID |
Lemon Chicken | $50 | $48 |
Guava Pulled Pork | $75 | $70 |
Eye Fillet | $39 | $33.15 |
Shaved Duck Breast | $58 | – |
The total amount she paid was $194.65.
How many percent off was the Shaved Duck Breast?
Statements:
All soda is water. Some soda is cold.
Conclusions:
I. Some water is cold.
II. No soda is cold
Given all statements true, which of the following conclusions follow?
Mara wants to purchase a new phone. The phones available are iphone 13, iphone 14, iphone 14 pro and iphone 13 pro max. There are twice as many iphone 13 as iphone 14.
If she picks a phone without looking, the probabilities are:
What is the probability that Chiara picks iphone 13 pro max?