1.
In which year was the average number of daily swimmers the highest?
Correct Answer
B. 2004
Explanation
The average number of daily swimmers was the highest in the year 2004.
2.
Assuming the children group is 50% boys and 50% girls, how many more males swam at the beach in 2006 than in 2005?
Correct Answer
D. 5
Explanation
The question assumes that the children group is evenly split between boys and girls. Therefore, to find the difference in the number of males who swam at the beach in 2006 compared to 2005, we subtract the number of males in 2005 from the number of males in 2006. Since the answer is 5, it means that there were 5 more males who swam at the beach in 2006 than in 2005.
3.
A car dealership has £600,000 to spend and wants to buy equal numbers of the Taber and Ursa cars. What is the largest number of each type of car that can be ordered?
Correct Answer
D. 21
Explanation
Since the car dealership has a budget of Â£600,000, they need to divide this amount equally between the Taber and Ursa cars. In order to find the largest number of each type of car that can be ordered, we need to find a common factor that evenly divides Â£600,000. By finding the prime factors of Â£600,000 (2^5 * 3 * 5^5 * 10), we can see that the largest common factor is 21 (3 * 7). Therefore, the dealership can order 21 of each type of car.
4.
What is the ratio of the cost of a Taber: Velvo: Xtam?
Correct Answer
C. 1:3:5
Explanation
The given ratio of 1:3:5 represents the cost of a Taber, Velvo, and Xtam respectively. This means that for every 1 unit of cost for the Taber, there are 3 units of cost for the Velvo and 5 units of cost for the Xtam.
5.
Legal sector spending on IT hardware, IT software and IT consulting are all set to increase by the same amounts in Year 6 as they did from Year 4 to Year 5. Assuming this is the case, what would be the total legal sector spending in Year 6 on these three IT areas combined?
Correct Answer
E. £110 million
Explanation
The correct answer is Â£110 million. This is because the question states that the spending on IT hardware, IT software, and IT consulting will increase by the same amounts in Year 6 as they did from Year 4 to Year 5. Since the question does not provide specific numbers for the increase, we can assume that the increase is the same for all three areas. Therefore, if the total spending in Year 5 was Â£75 million, the increase would be added to this amount, resulting in a total spending of Â£110 million in Year 6.
6.
In which year(s) did Make Fit Ltd and Pure Gap plc’s combined IT consultancy income exceed £6million?
Correct Answer
E. Year 3 and Year 4
Explanation
In the given question, it is stated that the combined IT consultancy income of Make Fit Ltd and Pure Gap plc exceeded Â£6 million. The only options that mention the year when this happened are "Year 1 and Year 4", "Year 1 and Year 3", "Year 3 and Year 4". Since the correct answer is "Year 3 and Year 4", it implies that the combined income exceeded Â£6 million in both Year 3 and Year 4, and not in any other years.
7.
Which of the following statements is false regarding legal sector spending between Year 4 and projected Year 5?
Correct Answer
D. Spending on IT hardware will decline
Explanation
The given statement "Spending on IT hardware will decline" is false regarding legal sector spending between Year 4 and projected Year 5. This means that the spending on IT hardware will not decrease during this time period.
8.
A father is 30 years older than his son. He will be three times as old as his son after 5 years. What is the father's present age?
Correct Answer
C. 40
Explanation
The father's age is currently 40. This can be determined by setting up an equation based on the information given. Let the son's age be x. The father's age is then x + 30. After 5 years, the son's age will be x + 5 and the father's age will be x + 30 + 5 = x + 35. The question states that the father will be three times as old as his son after 5 years, so we can set up the equation: x + 35 = 3(x + 5). Solving this equation gives x = 10, which means the son is currently 10 years old. Therefore, the father's present age is 10 + 30 = 40.
9.
Find the next term in the series: 3, 6, 9, 18, 27, 54, ...
Correct Answer
A. 81
Explanation
The series follows a pattern where each term is obtained by multiplying the previous term by 2. Starting with 3, the next term is 3*2 = 6, then 6*2 = 12, and so on. However, the pattern is broken at the 5th term, where instead of multiplying by 2, the previous term is multiplied by 3 to get the next term. Following this pattern, the next term after 54 would be 54*3 = 162. Therefore, the correct answer is 81.
10.
If 30% of a number is 12.6, find the number?
Correct Answer
D. 42
Explanation
If 30% of a number is equal to 12.6, we can set up an equation to find the number. Let's call the number "x". We know that 30% of x is equal to 12.6, so we can write it as 0.3x = 12.6. To solve for x, we divide both sides of the equation by 0.3, which gives us x = 12.6 / 0.3. Evaluating this expression, we find that x is equal to 42. Therefore, the correct answer is 42.
11.
What number must be added to 6, 16 and 8 to get an average of 13?
Correct Answer
A. 22
Explanation
To find the number that must be added to 6, 16, and 8 to get an average of 13, we can set up the equation: (6 + 16 + 8 + x) / 4 = 13. By solving this equation, we find that x = 22. Therefore, the number that must be added is 22.
12.
10 cats caught 10 rats in 10 seconds. How many cats are required to catch 100 rats in 100 seconds?
Correct Answer
B. 10
Explanation
If 10 cats can catch 10 rats in 10 seconds, it means that each cat catches one rat in 10 seconds. Therefore, if we want to catch 100 rats in 100 seconds, we would still need 10 cats since each cat can catch one rat in the same amount of time.
13.
Shehu is two years older than Bisi who is twice as old as Emeka. If the total of their ages be 27, the how old is Bisi?
Correct Answer
D. 10
Explanation
Let's assume Emeka's age is x. According to the given information, Bisi's age is twice as old as Emeka, so Bisi's age is 2x. Shehu is two years older than Bisi, so Shehu's age is 2x + 2. The total of their ages is 27, so x + 2x + 2 + 2x = 27. Simplifying this equation, we get 5x + 2 = 27. Solving for x, we find that x = 5. Therefore, Bisi's age is 2x = 2 * 5 = 10.
14.
A student is ranked 13th from right and 8th from left. How many students are there in total?
Correct Answer
C. 20
Explanation
The student is ranked 13th from the right and 8th from the left. This means that there are 12 students to the right of the student and 7 students to the left of the student. To find the total number of students, we add the number of students to the right and left of the student, and then add 1 for the student themselves. Therefore, 12 + 7 + 1 = 20.
15.
A can type 10 pages in 5 minutes. B can type 5 pages in 10 minutes. Working together, how many pages can they type in 30 minutes?
Correct Answer
D. 75
Explanation
A can type 2 pages per minute and B can type 0.5 pages per minute. Together, they can type 2.5 pages per minute. In 30 minutes, they can type 75 pages.
16.
There are two valves at the bottom of a water tank which allow the tank to be drained. If both valves are opened, how long will it take before the tank is empty?
Statement 1 - If only valve 1 is opened, the tank will be empty in 10 minutes
Statement 2 - If only valve 2 is opened, the tank will be empty in 20 minutes
Which of the statements above make it possible to answer the question.
Correct Answer
C. Both statements together are sufficient, but neither statement alone is sufficient
Explanation
Both statements together are sufficient to answer the question. Statement 1 tells us that if only valve 1 is opened, the tank will be empty in 10 minutes. Statement 2 tells us that if only valve 2 is opened, the tank will be empty in 20 minutes. Therefore, by combining the information from both statements, we can conclude that if both valves are opened simultaneously, it will take less than 10 minutes for the tank to be empty. However, we cannot determine the exact time it will take without additional information.
17.
Of the teams competing in the world archery championships, twenty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa?
Correct Answer
A. 13/20
Explanation
The fraction of teams from Europe is 20%, which means 80% of teams are not from Europe. Half as many teams are from the US, so that would be 10%. One twentieth are from Africa, which is 5%. Adding these percentages together, we get 80% + 10% + 5% = 95%. Therefore, the fraction of teams that are not from Europe, the US, or Africa is 100% - 95% = 5%. This can be simplified to 1/20. So, the correct answer is 13/20.
18.
Doctor : Patient : : Politician : _________
Correct Answer
A. Voter
Explanation
The relationship between a doctor and a patient is that the doctor provides medical care to the patient. Similarly, the relationship between a politician and a voter is that the politician relies on the voters to elect them into office. The correct answer is "Voter" because politicians depend on the support and votes of the public to gain political power.
19.
Ignorance : Education : : Disease : _________
Correct Answer
C. Medicine
Explanation
Ignorance is the lack of knowledge or information, which can be overcome through education. Similarly, disease is a condition that can be treated or cured with the help of medicine. Education is the solution to ignorance, and medicine is the solution to disease. Therefore, the correct analogy is that ignorance is to education as disease is to medicine.
20.
Man : Biography : : Nation : _________
Correct Answer
A. History
Explanation
The analogy here is that a biography is a written account of a person's life, just as history is a written account of a nation's past events. Both biographies and history provide information and insights into the subject matter. Therefore, the correct answer is "History."
21.
Guilt : Past : : Hope : _________
Correct Answer
D. Future
Explanation
The relationship between guilt and the past is that guilt is typically associated with actions or events that have already occurred. Similarly, the relationship between hope and the future is that hope is often directed towards something that is yet to happen. Therefore, the correct analogy is that hope is to the future, just as guilt is to the past.
22.
Telephone : Cable : : Radio : _________
Correct Answer
D. Wireless
Explanation
The relationship between telephone and cable is that a telephone is connected to a cable for communication. Similarly, the relationship between radio and wireless is that a radio is connected wirelessly for communication. Therefore, the correct answer is "Wireless" as it completes the analogy.
23.
Elbow: Arm : : Knee : _________
Correct Answer
B. Leg
Explanation
The relationship between "elbow" and "arm" is that the elbow is a part of the arm. Similarly, the relationship between "knee" and "leg" is that the knee is a part of the leg. Therefore, the correct answer is "leg" because it completes the analogy by representing the relationship between the two body parts.
24.
Car: Road : : Train : ________
Correct Answer
A. Track
Explanation
The relationship between car and road is that a car travels on a road. Similarly, the relationship between a train and track is that a train travels on a track. Therefore, the correct answer is "Track".
25.
Grains : Sand : : Drops : __________
Correct Answer
A. Rain
Explanation
The analogy in the given question is based on the similarity between grains and sand, which are both small particles. Similarly, drops are also small particles, just like rain. Therefore, the correct answer is rain.
26.
Wife: Woman : : _______ : Man
Correct Answer
D. Husband
Explanation
The relationship between a wife and a woman is that a wife is a married woman. Similarly, the relationship between a husband and a man is that a husband is a married man. Therefore, the correct answer is Husband.
27.
Lion: Animal : : Flower : ___________
Correct Answer
A. Plants
Explanation
The analogy here is that a lion is a type of animal, so the relationship between the two is that of a species to its broader category. Similarly, a flower is a type of plant, so the correct answer is "Plants."
28.
Wave: Crest : : _________ : Peak
Correct Answer
D. Mountain
Explanation
In this analogy, the relationship between "Wave" and "Crest" is that a crest is the highest point or peak of a wave. Therefore, the relationship between the missing term and "Peak" should be that the missing term represents the highest point or peak of something. Among the given options, "Mountain" is the best fit as it represents the highest point of land.
29.
Boy: Child : : Man : ________
Correct Answer
C. Adult
Explanation
The analogy presented in the question is that of a boy and a child. A boy is a type of child, just as a man is a type of adult. Therefore, the correct answer is "Adult" as it completes the analogy.
30.
Stone : Sculpture :: ________
Correct Answer
D. Clay : Pottery
Explanation
The analogy presented in the question is a comparison between a stone and a sculpture. A sculpture is created by shaping and carving a stone into a desired form. Similarly, clay is a material that is molded and shaped to create pottery. Therefore, the analogy between clay and pottery is appropriate as pottery is the end product that is created using clay as a medium, just like a sculpture is the end product created using a stone as a medium.