1.
In which year was the average number of daily swimmers the highest?
Correct Answer
B. 2004
Explanation
The correct answer is 2004. This can be inferred from the information given in the question, which states that the average number of daily swimmers was the highest in a particular year. Since no other data or information is provided, we can only rely on the given options. Therefore, based on the options provided, 2004 is the year with the highest average number of daily swimmers.
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
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
The largest number of each type of car that can be ordered is 21. To determine this, divide the total budget of £600,000 by 2 (since equal numbers of Taber and Ursa cars are desired), resulting in £300,000. Then, divide this amount by the cost of one car to find the maximum number of cars that can be purchased.
4.
What is the ratio of the cost of a Taber: Velvo: Xtam?
Correct Answer
C. 1:3:5
Explanation
The ratio of the cost of a Taber, Velvo, and Xtam is 1:3:5. This means that for every 1 unit of cost for a Taber, the cost of Velvo is 3 units, and the cost of Xtam is 5 units.
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 total legal sector spending in Year 6 on IT hardware, IT software, and IT consulting combined would be £110 million. This is because the question states that the spending on these three areas 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 amounts for the increases, we can assume that the increases are equal. Therefore, if the total spending in Year 5 was £75 million, it would increase by the same amount to reach £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
The combined IT consultancy income of Make Fit Ltd and Pure Gap plc exceeded £6 million in Year 3 and Year 4.
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 answer is false because the statement "Spending on IT hardware will decline" is true. The question asks for the false statement, and all the other statements are true. Therefore, the correct answer is that spending on IT hardware will decline.
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
Let the son's present age be x. According to the given information, the father is 30 years older than his son, so the father's present age is 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's present age is 10 and 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 given series follows a pattern where each term is obtained by multiplying the previous term by 2. Starting with 3, the next terms are obtained by multiplying 3 by 2 successively. Therefore, the next term in the series would be 54 * 2 = 108.
10.
If 30% of a number is 12.6, find the number?
Correct Answer
D. 42
Explanation
If 30% of a number is 12.6, we can set up the equation: 0.3x = 12.6, where x represents the unknown number. To solve for x, we can divide both sides of the equation by 0.3, giving us x = 12.6/0.3 = 42. Therefore, the number 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 use the formula for average: average = (sum of numbers) / (number of numbers). In this case, the sum of the numbers is 6 + 16 + 8 = 30. To find the missing number, we can rearrange the formula: (30 + x) / 4 = 13, where x represents the missing number. Solving for x, we get 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 still only need 10 cats because 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 to be x. Based on the given information, Bisi's age would be 2x and Shehu's age would be 2x + 2. The sum of their ages is given as 27. So, x + 2x + 2 + 2x = 27. Simplifying this equation, we get 5x + 2 = 27. Solving for x, we find x = 5. Therefore, Bisi's age would be 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. In total, there are 12+7+1 (including the student) = 20 students.
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 (2.5 pages/minute * 30 minutes).
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
From statement 1, we know that if only valve 1 is opened, the tank will be empty in 10 minutes. This means that valve 1 can drain the tank in 10 minutes.
From statement 2, we know that if only valve 2 is opened, the tank will be empty in 20 minutes. This means that valve 2 can drain the tank in 20 minutes.
However, we cannot determine how long it will take for the tank to be empty when both valves are opened based on either statement alone. We need both statements together to determine that information. Therefore, both statements together are sufficient, but neither statement alone is sufficient.
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 question states that twenty percent of the teams are from Europe, which means that 80 percent of the teams are not from Europe. It also states that half as many teams are from the United States, so 40 percent of the teams are from the US. Additionally, one twentieth of the teams are from Africa, which is 5 percent. Therefore, the fraction of teams that are not from Europe, the US, or Africa is 80 percent + 40 percent + 5 percent, which equals 125 percent. However, since the question asks for a fraction, we can simplify 125/100 to 5/4. To find the fraction of teams that are from neither Europe, the US, or Africa, we subtract 5/4 from 1 (since 1 represents the whole), which gives us 4/4 - 5/4 = 1/4. Therefore, the fraction of teams that are from neither Europe, the US, or Africa is 1/4, which is equivalent to 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 seeks the votes of the voter in order to be elected into office. Therefore, the correct answer is "Voter".
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.
20.
Man : Biography : : Nation : _________
Correct Answer
A. History
Explanation
The analogy presented in the question is that a man is related to his biography in the same way as a nation is related to history. A biography is a written account of a person's life, documenting their experiences and achievements. Similarly, history is a written account of a nation's past, including significant events, cultural developments, and political changes. Therefore, the correct answer is history.
21.
Guilt : Past : : Hope : _________
Correct Answer
D. Future
Explanation
The word "guilt" is associated with the past, indicating that it refers to a feeling of remorse or regret for something that has already happened. Similarly, the word "hope" is associated with the future, suggesting that it refers to a positive expectation or desire for something that is yet to come. Both guilt and hope are emotions or states of mind that are tied to specific time periods, with guilt being linked to the past and hope being linked to the future. Therefore, the correct answer is "Future".
22.
Telephone : Cable : : Radio : _________
Correct Answer
D. Wireless
Explanation
The relationship between telephone and cable is that a telephone requires a cable to transmit signals. Similarly, the relationship between radio and the missing term is that a radio can transmit signals wirelessly. Therefore, the correct answer is "Wireless."
23.
Elbow: Arm : : Knee : _________
Correct Answer
B. Leg
Explanation
The relationship between elbow and arm is that the elbow is a joint in the arm. Similarly, the relationship between knee and leg is that the knee is a joint in the leg. Therefore, the correct answer is "Leg" because it completes the analogy by representing the relationship between knee and leg.
24.
Car: Road : : Train : ________
Correct Answer
A. Track
Explanation
The relationship between "Car" and "Road" is that a car moves on a road. Similarly, the relationship between "Train" and "Track" is that a train moves on a track. Therefore, the correct answer is "Track" as it completes the analogy.
25.
Grains : Sand : : Drops : __________
Correct Answer
A. Rain
Explanation
The analogy here is that grains are a smaller version of sand, just as drops are a smaller version of 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. Plant
Explanation
The relationship between lion and animal is that lion is a type of animal. Similarly, the relationship between flower and plant is that flower is a part of a plant. Therefore, the correct answer is plant.
28.
Wave: Crest : : _________ : Peak
Correct Answer
D. Mountain
Explanation
The relationship between "Wave" and "Crest" is that a wave has a crest as its highest point. Similarly, the relationship between "______" and "Peak" would be that the "______" has a peak as its highest point. The only option that fits this relationship is "Mountain," as it has a peak as its highest point. Therefore, "Mountain" is the correct answer.
29.
Boy: Child : : Man : ________
Correct Answer
C. Adult
Explanation
The analogy in this question is based on the relationship between the words. A boy is a young male child, and a man is an adult male. Therefore, the correct answer is "Adult" as it represents the stage of life that follows being a child.
30.
Stone : Sculpture :: ________
Correct Answer
D. Clay : Pottery
Explanation
The relationship between stone and sculpture is that stone is the material used to create sculptures. Similarly, clay is the material used to create pottery. Therefore, the correct answer is "Clay : Pottery."