Graduate Trainee Recruitment Test: LUMS Prep

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

9%

11%

14%

15%

The percentage is calculated by dividing non-US students by total Arts students and converting to percentage. Rounding is applied. This tests understanding of percentage calculations in real-world data interpretation scenarios.

Explanation

The percentage is calculated by dividing non-US students by total Arts students and converting to percentage. Rounding is applied. This tests understanding of percentage calculations in real-world data interpretation scenarios.

2) Can the total number of university students be determined

Yes exactly

Yes approximately

No sufficient data

Only with rounding

The total cannot be determined because complete percentage distribution is missing. Without all categories, calculation is impossible. This tests logical reasoning and ability to identify insufficient information.

Explanation

The total cannot be determined because complete percentage distribution is missing. Without all categories, calculation is impossible. This tests logical reasoning and ability to identify insufficient information.

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

48

57

66

72

Calculate 6% of science students using proportional reasoning. Since exact numbers are not given, the closest estimate is selected. This tests percentage application in approximate data scenarios.

Explanation

Calculate 6% of science students using proportional reasoning. Since exact numbers are not given, the closest estimate is selected. This tests percentage application in approximate data scenarios.

4) Time for a 1-mile train to pass a 5-mile tunnel at 60 mph

4 minutes

5 minutes

6 minutes

7 minutes

Total distance = train length + tunnel length = 6 miles. At 60 mph, speed is 1 mile per minute. Therefore, time = 6 minutes. This tests speed-distance-time relationships.

Explanation

Total distance = train length + tunnel length = 6 miles. At 60 mph, speed is 1 mile per minute. Therefore, time = 6 minutes. This tests speed-distance-time relationships.

5) Increase both numbers by 2, new product exceeds twice sum by

P

P+2

P+4

2p+4

Expanding (a+2)(b+2) gives ab + 2a + 2b + 4. Since ab = p, result becomes p + 2(a+b) + 4. Compared to twice sum, difference simplifies to p+4. This tests algebraic expansion.

Explanation

Expanding (a+2)(b+2) gives ab + 2a + 2b + 4. Since ab = p, result becomes p + 2(a+b) + 4. Compared to twice sum, difference simplifies to p+4. This tests algebraic expansion.

6) Which number proves not all primes are odd

1

2

3

5

The number 2 is the only even prime. All other primes are odd. This disproves the assumption. This tests number properties.

Explanation

The number 2 is the only even prime. All other primes are odd. This disproves the assumption. This tests number properties.

7) If w > 1, compare 7w−4 and 2w+5

A greater

B greater

Equal

Cannot determine

Simplify difference: (7w−4) − (2w+5) = 5w−9. Since w > 1, expression is positive. Therefore A is greater. This tests algebraic comparison.

Explanation

Simplify difference: (7w−4) − (2w+5) = 5w−9. Since w > 1, expression is positive. Therefore A is greater. This tests algebraic comparison.

8) Identify the next term in the pattern

12x

15x

20x

30x

The pattern increases stepwise in multiples. The next logical value after 12x is 15x. This tests sequence recognition.

Explanation

The pattern increases stepwise in multiples. The next logical value after 12x is 15x. This tests sequence recognition.

9) Compare values x and y without extra data

A greater

B greater

Equal

Cannot determine

Without a relationship between x and y, comparison is not possible. This tests logical reasoning under uncertainty.

Explanation

Without a relationship between x and y, comparison is not possible. This tests logical reasoning under uncertainty.

10) Choose the best word for the sentence

Restrained

Frivolous

Ungainly

Controlled

“Frivolous” means lacking seriousness, matching the context of childish behavior. This tests vocabulary usage.

Explanation

“Frivolous” means lacking seriousness, matching the context of childish behavior. This tests vocabulary usage.

11) Choose the best word for the sentence

Predisposed

Taught

Encouraged

Trained

“Predisposed” means naturally inclined, fitting inherited tendency. This tests contextual vocabulary.

Explanation

“Predisposed” means naturally inclined, fitting inherited tendency. This tests contextual vocabulary.

12) Choose the best word for the sentence

Fragrant

Evocative

Dolorous

Fetid

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

Explanation

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

13) Choose the best word for the sentence

Worthwhile

Indiscernible

Significant

Superfluous

“Superfluous” means unnecessary, matching lack of benefit. This tests nuanced vocabulary.

Explanation

“Superfluous” means unnecessary, matching lack of benefit. This tests nuanced vocabulary.

14) Choose the best word for the sentence

Gracious

Indifferent

Ecstatic

Crestfallen

“Gracious” reflects polite behavior despite losing. This tests tone and context understanding.

Explanation

“Gracious” reflects polite behavior despite losing. This tests tone and context understanding.

15) How many handshakes occur among 10 people

20

45

50

90

Handshakes = n(n−1)/2 = 10×9/2 = 45. This formula avoids double counting. This tests combinatorics basics.

Explanation

Handshakes = n(n−1)/2 = 10×9/2 = 45. This formula avoids double counting. This tests combinatorics basics.

Graduate Trainee Recruitment Test: Lums Practice Quiz

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

2)

What first name or nickname would you like us to use?

2) Can the total number of university students be determined

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

4) Time for a 1-mile train to pass a 5-mile tunnel at 60 mph

5) Increase both numbers by 2, new product exceeds twice sum by

6) Which number proves not all primes are odd

7) If w > 1, compare 7w−4 and 2w+5

8) Identify the next term in the pattern

9) Compare values x and y without extra data

10) Choose the best word for the sentence

11) Choose the best word for the sentence

12) Choose the best word for the sentence

13) Choose the best word for the sentence

14) Choose the best word for the sentence

15) How many handshakes occur among 10 people