STAT - Special Tertiary Admissions Logical and Numerical Problem-Solving Questions and Answers

Question 1

A university regulation states: 'To be eligible for the Dean's List, a student must maintain a GPA of at least 3.5 AND have no failing grades.' Based only on this rule, which of the following statements is logically certain?

Accepted Answer

Any student with a GPA of 3.6 but who has a failing grade cannot be on the Dean's List.

Answer

Any student with a GPA of 3.8 and no failing grades will be on the Dean's List.

Answer

A student who is not on the Dean's List must have a GPA below 3.5.

Answer

All students on the Dean's List have a GPA of exactly 3.5.

Question 2

In a group of 80 tourists, 50 speak Spanish, 35 speak French, and 20 speak both Spanish and French. How many tourists in the group speak neither Spanish nor French?

Accepted Answer

15

Answer

10

Answer

20

Answer

25

Question 3

A company has 9 employees. Their annual salaries are: $50,000, $52,000, $52,000, $58,000, $65,000, $70,000, $71,000, $78,000, and $290,000. The company's management wants to present the most favorable 'average' salary in a recruitment brochure. Which measure of central tendency would they most likely use, and why?

Accepted Answer

The mean, because the high salary of one employee inflates this value significantly.

Answer

The median, because it is not affected by the unusually high salary.

Answer

The mode, because it represents the most common salary level.

Answer

The range, because it shows the wide earning potential at the company.

Question 4

A report concludes: 'The recent decline in the population of the native Silver Finch bird in Green Valley is due to the increased use of the new pesticide, Pest-Away, by local farmers. Since Pest-Away was introduced two years ago, the finch population has dropped by 30%.' Which of the following, if true, would most seriously weaken this argument?

Accepted Answer

Over the last two years, Green Valley has experienced a severe drought, which is known to decimate the insect populations that finches rely on for food.

Answer

The Silver Finch population has also declined in a neighboring valley where Pest-Away is not used.

Answer

Pest-Away is a government-approved pesticide certified as safe for birds when used as directed.

Answer

The use of Pest-Away has led to a significant increase in crop yields for local farmers.

Question 5

Printer A can print a batch of documents in 30 minutes. Printer B can print the same batch in 60 minutes. If both printers start working together, how long will it take them to print one batch of documents?

Accepted Answer

20 minutes

Answer

45 minutes

Answer

90 minutes

Answer

15 minutes

Question 6

The table below shows international visitor arrivals (in millions) for two countries over three years, broken down by purpose of visit.

| Year | Country | Holiday | Business | Visiting Family | Total |
|---|---|---|---|---|---|
| 2022 | Ausland | 1.2 M | 0.5 M | 0.8 M | 2.5 M |
| 2022 | Borden | 2.1 M | 0.7 M | 0.2 M | 3.0 M |
| 2023 | Ausland | 1.4 M | 0.6 M | 0.9 M | 2.9 M |
| 2023 | Borden | 2.0 M | 0.8 M | 0.3 M | 3.1 M |
| 2024 | Ausland | 1.8 M | 0.5 M | 1.0 M | 3.3 M |
| 2024 | Borden | 2.2 M | 0.9 M | 0.3 M | 3.4 M |

Which of the following statements is most accurately supported by the data in the table?

Accepted Answer

The total number of visitors classified as 'Visiting Family' across both countries combined was highest in 2024.

Answer

From 2022 to 2024, the number of 'Holiday' visitors to Borden increased by more than 10%.

Answer

In 2024, visitors for Business purposes made up a larger percentage of the total visitors for Ausland than for Borden.

Answer

Ausland consistently had more visitors for the purpose of 'Visiting Family' than Borden had for 'Business'.