Graduate Trainee Recruitment Test: Practice Questions

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| By Catherine Halcomb
Catherine Halcomb
Community Contributor
Quizzes Created: 2148 | Total Attempts: 6,845,174
| Attempts: 3,182 | Questions: 15 | Updated: Apr 15, 2026
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1) Based on the data, estimate the number of students in engineering

Explanation

The engineering estimate is derived by interpreting proportional data from the chart. Since exact percentages are rounded, approximation is required. The closest logical estimate is selected based on proportional comparison with Arts students. This question tests estimation skills and the ability to interpret visual data approximately rather than relying on exact calculations.

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About This Quiz
Graduate Trainee Recruitment Test: Practice Questions - Quiz

This KE Graduate Trainee Program: Recruitment Quiz assesses understanding of university demographics and basic mathematics through statistical analysis of student populations at York University. It evaluates numerical and analytical skills relevant for potential trainees.

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2) What percentage of Arts students are non-US residents

Explanation

The percentage of non-US students is calculated by dividing the number of non-US students by the total Arts students and converting to percentage. Rounding is considered since data is approximate. This question tests percentage calculation and interpretation of given statistical data in context.

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3) What is the total number of students in the university

Explanation

The total number of students cannot be determined because the percentage distribution across faculties is incomplete. Without full data, calculation is impossible. This question tests logical reasoning and the ability to identify insufficient information rather than guessing.

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4) If 6% of science students are Asian, estimate their number

Explanation

To find Asian students, calculate 6% of total science students. Since exact values are approximated, the closest valid option is chosen. This tests percentage application and estimation under uncertainty, a common quantitative reasoning skill.

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5) How long does a 1-mile train take to pass a 5-mile tunnel at 60 mph

Explanation

Total distance = train length + tunnel length = 6 miles. At 60 mph, speed is 1 mile per minute. Therefore, total time is 6 minutes. This question tests speed-distance-time relationships and logical addition of lengths in motion problems.

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6) If two numbers multiply to p, how much greater is the new product after increasing both by 2

Explanation

Let numbers be a and b such that ab = p. New product = (a+2)(b+2) = ab + 2a + 2b + 4. Twice sum = 2(a+b). Difference simplifies to p + 4. This question tests algebraic expansion and simplification.

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7) Which number shows that not all prime numbers are odd

Explanation

The number 2 is the only even prime number. All other primes are odd. This makes it the correct example to disprove the idea that all primes are odd. This question tests understanding of number properties.

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8) If w is greater than 1, compare 7w−4 and 2w+5

Explanation

Simplify expressions: 7w−4 and 2w+5. Subtracting gives 5w−9. Since w > 1, expression is positive, so A is greater. This tests algebraic comparison and inequality reasoning.

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9) Identify the next term in the pattern

Explanation

The pattern increases in multiples of x. From 12x, the next logical step is 15x. This question tests pattern recognition and sequence logic.

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10) Compare two unknown values x and y

Explanation

Without any relation between x and y, comparison is impossible. This tests logical reasoning and identifying insufficient data rather than assuming values.

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11) Choose the best word to complete the sentence

Explanation

“Frivolous” means lacking seriousness, matching the contrast with austere life. This tests vocabulary in context and tone interpretation.

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12) Choose the best word to complete the sentence

Explanation

“Predisposed” means naturally inclined, fitting the idea of inherited tendencies. This tests word meaning and contextual appropriateness.

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13) Choose the best word to complete the sentence

Explanation

“Fetid” means foul-smelling, matching the description of decay. This tests descriptive vocabulary usage.

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14) Choose the best word to complete the sentence

Explanation

“Superfluous” means unnecessary, fitting the idea of no additional benefit. This tests nuanced vocabulary understanding.

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15) Choose the best word to complete the sentence

Explanation

“Gracious” fits because the candidate behaved politely despite losing. This tests tone and emotional appropriateness in context.

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Based on the data, estimate the number of students in engineering
What percentage of Arts students are non-US residents
What is the total number of students in the university
If 6% of science students are Asian, estimate their number
How long does a 1-mile train take to pass a 5-mile tunnel at 60 mph
If two numbers multiply to p, how much greater is the new product...
Which number shows that not all prime numbers are odd
If w is greater than 1, compare 7w−4 and 2w+5
Identify the next term in the pattern
Compare two unknown values x and y
Choose the best word to complete the sentence
Choose the best word to complete the sentence
Choose the best word to complete the sentence
Choose the best word to complete the sentence
Choose the best word to complete the sentence
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