Day 1 School Holiday English Answers - OC
1.a. Her psychiatrist - the author introduces us to her therapist.
2.a. Poised orator - The first time I saw my therapist, she was standing in front of a room full of people, talking about William Golding’s novel Lord of the Flies (1954). It was part of a series of book events on the theme of psychoanalysis and literature, and my therapist was dissecting the emotional and psychodynamic contours of the book, in particular the ending.
3.a. Her ability to mettle - I know what it’s like to survive without being seen. To survive, but live forever in hiding. At that moment, I knew that she would not turn away. I emailed her every week following until an appointment slot opened up in her diary.
4.b. Propinquity - Psychodynamic therapists believe that relationships hold the key to many people’s psychological suffering, and so the way the patient relates to others is key to healing. That work begins with the relationship between patient and therapist.
5.b. Tenacious - I tried CBT for years, but it never helped me, because my conscious thoughts weren’t the problem. What was troubling me was much deeper, more unconscious, than that. What was troubling me was hidden from everyone.
6.a. Damage
7.b. Insomnia
8.a. Querulous - the poet complains about his suffering from insomnia
9.d. Hyperbole
10.c. Willing 11.c 12.c 13.d 14.a 15.b 16.e 17.f 18.a
Day 1 School Holiday Thinking Skills Answers - OC
1. Answer: A
Explanation: The study suggests a positive relationship between exercise and memory retention. Group A, who performed aerobic exercise after studying, had better memory recall compared to Group B, who did not engage in any physical activity. Therefore, aerobic exercise after studying may enhance memory retention.
2. Answer: C
Explanation: The assumption underlying the success of the policy is that the increase in employee satisfaction and productivity can be attributed directly to the new policy and not influenced by other factors.
3. Answer: C
Explanation: The assumption underlying the main reason for the drop in customer footfall is that the decline in the quality of food and service led to customer dissatisfaction, ultimately causing customers to choose other dining options.
4. Answer: A
Explanation: The given conditional argument follows a basic form: If A, then B. In this case, A represents "the student studies diligently", and B represents "they will get good grades." The argument assumes that if the antecedent (A) is true, then the consequent (B) will also be true. Therefore, the standard form of this conditional argument is "If A, then B." Option A aligns with this structure and validates the logical structure of the argument.
5. Answer: C
Explanation: The given disjunctive syllogism presents a choice between A and B options. It states that one of the options is true, and if one option is affirmed, the other option is negated. In this case, A represents "I will go for a run" and B represents "I will stay home and watch a movie." The argument concludes that since B is affirmed (staying home and watching a movie), A must be negated (not going for a run). Therefore, the standard form of this disjunctive syllogism is "Either A or B" followed by the statement "Therefore, not A." Option C accurately represents the logical structure of the argument.
6. Answer: The correct answer would be B) Appeal to Authority.
Explanation: The flaw or fallacy in the given argument is an Appeal to Authority. The argument assumes that the endorsement of a celebrity automatically makes the claimed attributes (comfort and durability) of the shoes true. However, the endorsement of a celebrity does not guarantee expertise or credibility in the field of shoes. The argument relies on the authority or popularity of the celebrity rather than providing substantive evidence or reasoning.
7. Answer: The correct answer would be A) A recent study found that individuals who consistently get adequate sleep have better memory and attention span.
Explanation: The argument presents the claim that getting enough sleep is important for cognitive function, and the additional evidence that would best support this argument is a study showing a direct correlation between adequate sleep and improved memory and attention span. Option A aligns with this criteria by presenting a recent study that supports the claim made in the original argument.
8. Answer: The correct answer would be B) maintaining professional standards is important.
Explanation: The argument is based on the general rule or principle that individuals should adhere to professional standards, which include respecting confidentiality and privacy. The argument states that sharing confidential information breaches trust and violates professional ethics, concluding that Sarah has violated professional ethics. Option B accurately captures the underlying principle or general rule in this argument.
9. Answer: C
10. Answer: B
Explanation: To find the probability of drawing an apple or an orange, we need to determine the total number of favourable outcomes (apples and oranges) and divide it by the total number of possible outcomes (apples, oranges, and bananas).
In this case, the total number of favourable outcomes is 15 (apples) + 12 (oranges) = 27, and the total number of possible outcomes is 15 (apples) + 12 (oranges) + 9 (bananas) = 36. Therefore, the probability of drawing an apple or an orange is 27/36, which simplifies to 3/4.
11. Answer: D
Explanation: To find the number of pencils each student receives, we need to divide the total number of pencils by the number of students.
In this case, the original number of pencils is 50, but dividing them equally among the students would leave 5 pencils remaining. To ensure equal distribution, they add 5 more pencils, resulting in a total of 50 + 5 = 55 pencils.
If we divide these 55 pencils among the students, each student will receive 55/5 = 11 pencils.
Therefore, the correct answer is D) 11 pencils.
12. Answer: B
Explanation: The most relevant source for researching the impact of space exploration on technological advancements would be a scientific research article, like option B. Scientific research articles are peer-reviewed and contain objective, evidence-based information, making them reliable sources for academic research.
13. Answer: B
Explanation: The most effective action for interpreting the data and identifying trends in the given dataset would be option B) Creating a bar chart to visualise the daily visitor counts for each month.
A bar chart is a suitable visualisation for displaying the daily visitor counts for each month, allowing for easy comparison and identification of any patterns or trends. By examining the bar chart, one can observe the variations in visitor counts across different months and identify any recurring patterns or trends, such as seasonal peaks or decreases in website traffic.
14. Answer: B
Explanation: To find the probability of drawing a diamond or a club from the deck, we need to determine the total number of favourable outcomes (diamonds and clubs) and divide it by the total number of possible outcomes (all 52 cards in the deck).
In a standard deck of 52 cards, there are 13 diamonds and 13 clubs. Therefore, the total number of favourable outcomes is 13 + 13 = 26. The total number of possible outcomes is 52 since are 52 cards in the deck.
Hence, the probability of drawing a diamond or a club is 26/52, simplifying to 1/2.
The correct answer is B) 1/2.
15. Answer: C
Explanation: Based on the given information, both Lisa and Sarah's reasoning is correct (option C).
The initial statement states that only employees who attend the training workshop can access the new company software. Lisa correctly concludes that John, who attended the training workshop, can access the software.
Sarah also correctly reasons that Kate, who did not attend the training workshop, cannot access the software. This aligns with the condition stated in the initial statement.
Therefore, both Lisa and Sarah's reasoning is correct, and the answer is option C) Both Lisa and Sarah.
16. Answer: C.
Explanation: Using more spices can add more flavour to a dish, which supports the chef's claim that the more ingredients used in a recipe, the better the dish will taste. Option A may also be accurate, but it does not necessarily support the claim that using more ingredients improves the taste of a dish. Options B and D are incorrect because they contradict the chef's claim.
17. Answer: C) 1.5 hours after the slower bicycle started.
Explanation:
The slower bicycle took 3 hours to cover the distance of 60 miles, which means its speed was 60 miles divided by 3 hours, equal to 20 mph. The faster bicycle, which was 10 mph faster, had a speed of 20 mph + 10 mph, equal to 30 mph.
To find out when the faster bicycle overtakes the slower bicycle, we need to determine the time it takes for the faster bicycle to cover the same distance. Since the distance is 60 miles and the faster bicycle's speed is 30 mph, we divide the distance by the speed to get the time: 60 miles divided by 30 mph, equal to 2 hours.
Since the faster bicycle started 2 hours after the slower bicycle (as it took 2 hours for the faster bicycle to cover the distance), the faster bicycle overtakes, the slower bicycle 1.5 hours after the slower bicycle started.
18. Answer: B) Mother and daughter
Explanation: According to the given information, Alex is Chloe's brother, and Diane is Alex's mother. Ben is Emily's father, but there is no direct relationship mentioned between Chloe and Ben. Since Diane is the mother of Alex and Alex is sibling of Chloe, it can be concluded that Chloe and Diane share a mother-daughter relationship. Therefore, option B is the correct answer.
19. Answer: A
Explanation: The nutritionist claims that consuming a balanced diet is essential for overall health and well-being. Among the given options, statement A) best supports this claim by highlighting the importance of a diet rich in fruits and vegetables. These food groups provide essential vitamins, minerals, and other beneficial compounds that support various bodily functions and contribute to overall health. Therefore, statement A) provides the most relevant support for the nutritionist's claim.
20. Answer: A
Explanation: To determine the student who showed the most improvement, we must compare the difference between the Grade 5 and Grade 6 scores. Liam scored 65 in Grade 5, which improved to 85 in Grade 6, indicating an increase of 20 points. Among the given options, Liam's improvement of 20 points is the highest. Therefore, Liam won the Grade 6 prize for mathematics based on the most significant improvement in scores.
21. Answer: B
Explanation: According to the information, Claire is seated between David and Emma. Since Alice is seated next to Bob and Frank is not seated next to Alice, the only friend left to be seated between Alice and Frank is Claire. Therefore, the correct answer is B) Claire.
22. Answer: A) Sarah didn't stay up late.
Explanation: The initial statement states that Sarah feels tired the next day whenever she stays up late. Since Sarah feels tired today, it implies that she did not stay up late the previous night, as staying up late is the cause of her feeling tired the next day.
23. Answer: B
24. Answer: C
25. Answer: C) 0.156
Explanation: To calculate the probability, we need to determine the chance of selecting a red ball on the first draw and a blue ball on the second draw without replacement. The probability of drawing a red ball on the first draw is 10/24 since there are 10 red balls out of a total of 24 balls. After the first ball is drawn, are 23 balls left, with 8 blue balls remaining. Thus, the probability of drawing a blue ball on the second draw, given that the first ball was red, is 8/23. To find both events' probability, we multiply the individual probabilities: (10/24) * (8/23) ≈ 0.156. Therefore, option C is the correct answer.
26. Answer: C
Explanation: Looking at the data for Test A, we can observe a positive correlation between the number of hours studied and test scores. As the hour's studied increase, the test scores also increase, indicating a relationship between the two variables.
Similarly, examining the data for Test B, we can see a similar positive correlation between the number of hours studied and test scores. As the hour's studied increase, the test scores also increase for Test B.
Based on this analysis, we can conclude that both Test A and Test B show similar relationships between the number of hours studied and test scores. Thus, the correct answer is C) Both Test A and B show similar relationships between hours studied and test scores.
27. Answer: B) Hasty generalization
Explanation: The flaw in the argument is a hasty generalization. The statement "everyone knows that eating carrots improves eyesight" is an overgeneralization because it assumes that everyone's eyesight will be improved by eating carrots, which is not necessarily true. Additionally, the argument jumps to the conclusion that if you eat a lot of carrots, you will never need to wear glasses, which is a broad and unsubstantiated claim. This type of fallacy occurs when a general conclusion is drawn from insufficient evidence or small sample size.
28. Answer: C
Explanation: Let x be the age of the mother.
The father is 4 years older than the mother, so the father's age is x + 4.
The sum of the ages of the father and mother is 76, so we have the equation: x + (x + 4) = 76.
Simplifying the equation, we get 2x + 4 = 76. Subtracting 4 from both sides: 2x = 72. Dividing both sides by 2: x = 36.
The age of the mother is 36 years. Therefore, the father's age is x + 4 = 36 + 4 = 40 years.
29. Answer: B) Either I will go to the park, or I will stay at home. I will stay at home. Therefore, I won't go to the park.
Explanation: The disjunctive syllogism is a logical argument that states that if one of two mutually exclusive options is false, then the other option must be true. In option B, the argument follows the structure of a disjunctive syllogism. It presents two options: going to the park or staying at home. Since the person states they will stay at home, it implies that they won't go to the park. This logical deduction follows the principle of the disjunctive syllogism.
30. Answer: C) you will get good grades if you study hard. Jane studied hard. Therefore, Jane will get good grades.
Explanation: A standard form conditional argument consists of an "if-then" statement, an instance of the "if" condition, and a conclusion based on that condition. In option C, the argument follows the structure of a standard form conditional argument. It presents the conditional statement, "If you study hard, you will get good grades." The instance of the "if" condition is that Jane studied hard. The conclusion logically follows that Jane will get good grades based on the established conditional relationship.
Day 1 School Holiday Maths Answers - OC
Solution 1:
The wall is 56.31m long and 83.28m wide.
Area of the wall = 56.31m x 83.28m = 4,689.49m2
Area of each window = 1.5m x 2.1m = 3.15m2
Area of two windows = 2 x 3.15m2 = 6.3m2
Total area to be painted = 4,689.49m2—6.3m2 = 4,683.19m2
Option (B) is the correct answer.
Solution 2:
Assume, the width of the pool is y.
Therefore, the length is 2y
According to the problem,
2 x (2y+y) = 390
Or, 2y+y = 195
Or, 3y = 195
Or, y = 65
If the width is 65m, therefore, the length = 2 x 65m = 130m
Option (D) is the correct answer.
Solution 3:
35 boxes are 83cm long joined along the length are (35 x 83cm) = 2,905cm long
35% of the total length is reduced.
Therefore, the reduced length = (65 x 2905cm)/100 = 1888.25cm
Option (A) is the correct answer.
Solution 4:
In 23 minutes, the first car can cover 45 km.
In 1 minute, the first car can cover 45/23 = 1.95 km.
In 60 minutes, the first car can cover 60 x 1.95 = 117 km.
In 27 minutes, the second car can cover 47 km.
In 1 minute, the second car can cover 47/27 = 1.74 km.
In 60 minutes, the second car can cover 60 x 1.74 = 104.4 km.
In 29 minutes, the third car can cover 49 km.
In 1 minute, the third car can cover 49/29 = 1.68 km.
In 60 minutes, the third car can cover 60 x 1.68 = 100.8 km.
Of the three cars, the first car is the fastest moving.
Option (A) is the correct answer.
Solution 5:
Total time spend outside = 1hr 17min+4hr 36min+54 min+17 min+1hr 32min = 8hr 36min
Hence, he will return at 7:15 pm.
Option (C) is the correct answer.
Solution 6:
Option (C) is the correct answer.
Solution 7:
Mean = (45.6+4+78+2.08+ 21.89+10+10.1+90.3+ 73.8)/9=335.77/9=37.30
Option (D) is the correct answer. Solution 8:
132 = 169 142 = 196 152 = 225
169 x 2 = 338 196 x 2 = 392 225 x 2 = 450
Option (B) is the correct answer.
Solution 9:
Roger was walking toward the NORTH.
He took a left turn, hence was walking toward the WEST.
After taking three right turns, he is walking toward the SOUTH.
Option (B) is the correct answer.
Solution 10:
Total student = 200
30% of total student = (200 x 30)/100 = 60
19% of the 30% students = (60 x 30)/100 = 18
Therefore, 18 students want their uniforms to be deep green.
Option (C) is the correct answer.
Solution 11:
89xy+41x = 67.72x
Or, 89xy = 67.72x—41x
Or, 89xy = 26.72x
Or, 89 x 0.99 x y = 26.72 x 0.99
Or, 88.11y = 26.45
Or, y = 26.45/88.11
Or, y = 0.29
Option (D) is the correct answer.
Solution 12:
One bought products for LVI dollars = $56
Another bought for LXVI dollars = $66
Total bill = $56+$66 = $122
Therefore, each will have to pay = $122/2 = $61 = LXI dollars
Option (B) is the correct answer.
Solution 13:
(79.89—41.98)—62.74 x 52 +39.34/17
= 37.91—62.74 x 52 +39.34/17
= 37.91—62.74 x 25 +39.34/17
= 37.91—62.74 x 25 + 2.31
= 37.91—1568.5 + 2.31
= 37.91—1570.81 = —1532.90
Option (A) is the correct answer.
Solution 14:
The total volume of medicine = 680ml
Water needed = 680ml x 8/17 = 320ml
Option (C) is the correct answer.
Solution 15:
The average speed of a local bus is 45km/hour.
The speed when increased by 32% = (132 x 45km/hour)/100 = 59.40km/hour
In 60 minutes, the bus can cover 59.40km.
In 1 minute, the bus can cover 59.60km/60 = 0.99km.
In 38 minutes, the bus can cover 0.99km x 38 = 37.62km
Option (D) is the correct answer.
Solution 16:
Total books = 79,000
13% of the total books are new arrivals.
Number of new arrivals = (13 x 79,000)/100 = 10,270
4,200 more new books are added.
Now, the number of new arrivals = 14,470
Total number of books = 83,200
New arrivals = (100 x 14,470)/83,200 = 17.39%
Option (C) is the correct answer.
Solution 17:
Total number of chairs now = 15+13+18+8 = 54
Number of red chairs = 18
Probability of a student sitting on a red chair = 18/54 = 1/3
If 2 more black chairs are added,
Then, the total number of chairs = 56
Number of red chairs = 18
Probability of a student sitting on a red chair = 18/56 = 9/28
The difference in probability = 1/3-9/28=(28-27)/84=1/84
The probability of a student sitting on a red chair will decrease by 1/84
Option (A) is the correct answer.
Solution 18:
29 + 64.5 = 93.5
93.5 + 74.5 = 168
168 + 84.5 = 252.5
252.5 + 94.5 = 347
347 + 104.5 = 451.5
451.5 + 114.5 = 566
Option (C) is the correct answer.
Solution 19:
The average height of 47 students is 1.76m.
Total height of 47 students = 47 x 1.76m = 82.72m
If two students are added,
The average height of 49 students is 1.78m.
Total height of 49 students = 49 x 1.78m = 87.22m
Difference made by the height of two students = 87.22m—82.72m = 4.5m
Two new students are of the same height.
Therefore, the height of each new student = 4.5m/2 = 2.25m
Option (D) is the correct answer.
Solution 20:
Weight of the sack = 1098kg
When 13% is reduced, the weight of the sack = (87 x 1098kg)/100 = 845.46kg.
The total capacity of the machine = 890kg
Present weight = 845.46kg.
Weight can be added = (890kg—845.46kg) = 44.54kg
Option (A) is the correct answer.
Solution 21:
Initially invested capital = $567,925
Remaining capital after first year = (82 x $567,925)/100 = $465,698.50
Remaining capital after second year = (82 x $465,698.50)/100 = $381.872.77
Remaining capital after third year = (82 x $381.872.77)/100 = $313,135.67
Option (C) is the correct answer.
Solution 22:
ABC is an isosceles triangle.
Therefore, ∠BAC=60°
∠AED=56°
Therefore, ∠ADE=180°-(60°+56°)=180°-116°=64°
Option (A) is the correct answer.
Solution 23:
In 17 days, Albert can complete the whole work.
In 1 day, Albert can complete 1/17 th of the work.
In 14 days, Sophia can complete the whole work.
In 1 day, Sophia can complete 1/14 th of the work.
Albert and Sophia in 1 day can complete = 1/17+1/14=(17+14)/238=31/238 th of the work.
31/238 th of the work is done in 1 day.
Therefore, the whole work will be done in 1/(31/238)=238/31=7 21/31 days.
They took a break for 2 days in between.
Therefore, the work will be completed in 9 21/31 days.
Option (C) is the correct answer.
Solution 24:
Total available grain = 34,760kg
1/4 th of the total grains available is rice.
Therefore, total rice = 34,760kg x 1/4 = 8,690kg
1/3 rd of the rice available is brown rice.
Therefore, total brown rice = 8,690kg x 1/3 = 2896.66kg
Option (B) is the correct answer.
Solution 25:
145 145—67 = 78 78—25 = 52
450 450—67 = 383 383—25 = 358
100 100—67 = 33 33—25 = 8
Option (D) is the correct answer.
Solution 26:
Total pens stocked over the week = 777+127+34 = 938
Total pens sold till Friday = 342+65+98+225+89 = 819
Pens remaining = 938—819 = 119
Option (C) is the correct answer.
Solution 27:
Lisa bought a cup for $34.
She sold it to her friend for $13
Hence, loss at this point = $34—$13 = $21
She again buys it from her friend by paying 14% extra on $13.
Therefore, the extra amount paid = (14 x $13)/100 = $1.82
Therefore, her total loss = $21+$1.82 = $22.82
Option (B) is the correct answer.
Solution 28:
1st May, Saturday.
Option (A) is the correct answer.
Solution 29:
Amount of loan = $274,692
Amount of interest = (23 x $274,692)/100 = $63,179.16
Total amount invested = $274,692+$367,986 = $642,678
He had 23% profit at the end of the year.
Amount of profit = (23 x $642,678)/100 = $147,815.94
Total profit after paying the interest = $147,815.94—$63,179.16 = $84,636.78
Option (C) is the correct answer.
Solution 30:
436370mm = 436.370m
6756cm = 67.56m
69m
2km = 2000m
574563mm = 574.563m
450000cm = 4500.00m
Ascending order: 6756cm, 69m, 436370mm, 574563mm, 2km, 450000cm.
Option (D) is the correct answer.
Solution 31:
During the last four years, life expectancy has increased by 15%.
Hence, 4 years before, life expectancy was 15% less than what it is today.
Current lifespan = 80 years
Therefore, 4 years before the lifespan was = (85 x 75 years)/100 = 68 years
Option (B) is the correct answer.
Solution 32:
29—67+45+28 x 32/42
= 29—67+45+28 x 32/16
= 29—67+45+28 x 2
= 29—67+45+56
= 29—168 = —139
Option (C) is the correct answer.
Solution 33:
Factors of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36 . . .
Factors of 6 = 6, 12, 18, 24 . . .
L. C. M. of 4 and 6 is 12.
1 minute = 60 seconds.
12 seconds is the lowest common minimum time when they will blink together.
Hence, in 60 seconds, they will blink together for (60/12) = 4 times
Option (D) is the correct answer.
Solution 34:
A bucket can contain 20 litres = 20,000cm3 water
Volume of the wooden cube = (15cm)3 = 3,375cm3
Water that now can fill the bucket = 20,000cm3—3,375cm3 = 16,625cm3 = 16.62 liter.
Option (A) is the correct answer.
Solution 35:
(65x+92y)/(92x—65y)
= {(65 x 56.4) + (92 x 13.24)}/{(92 x 56.4)—(65 x 13.24)}
= (3666+1218.08)/(5188.8—860.6)
= 4884.08/4328.2 = 1.12
Option (D) is the correct answer.