Graduate Trainee Recruitment Test: NUST Prep

1) Estimate the number of students in engineering based on given data

390

400

410

420

The estimate is derived from proportional data. Since percentages are rounded, exact numbers are not available. The closest reasonable value is selected based on comparison. This tests approximation skills in interpreting visual data rather than exact calculation.

Explanation

The estimate is derived from proportional data. Since percentages are rounded, exact numbers are not available. The closest reasonable value is selected based on comparison. This tests approximation skills in interpreting visual data rather than exact calculation.

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

9%

11%

14%

15%

Percentage is calculated using the ratio of non-US students to total Arts students. Since values are rounded, the closest percentage is chosen. This tests real-world percentage interpretation.

Explanation

Percentage is calculated using the ratio of non-US students to total Arts students. Since values are rounded, the closest percentage is chosen. This tests real-world percentage interpretation.

3) Can the total number of students in the university be determined

Yes exactly

Yes approximately

No sufficient data

Only with rounding

Total cannot be determined because full percentage breakdown is missing. Without complete data, calculation is not possible. This tests logical reasoning and recognizing insufficient information.

Explanation

Total cannot be determined because full percentage breakdown is missing. Without complete data, calculation is not possible. This tests logical reasoning and recognizing insufficient information.

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

48

57

66

72

Calculate 6% of science students. Since total is not exact, estimation is required. The closest valid option is selected. This tests percentage application.

Explanation

Calculate 6% of science students. Since total is not exact, estimation is required. The closest valid option is selected. This tests percentage application.

5) 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 is train length plus tunnel length, which equals 6 miles. At 60 mph, speed is 1 mile per minute. Therefore, time is 6 minutes. This tests speed-distance-time concepts.

Explanation

Total distance is train length plus tunnel length, which equals 6 miles. At 60 mph, speed is 1 mile per minute. Therefore, time is 6 minutes. This tests speed-distance-time concepts.

6) 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 with twice the 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 with twice the sum, difference simplifies to p+4. This tests algebraic expansion.

7) 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 proves that not all primes are odd. This tests number properties.

Explanation

The number 2 is the only even prime. All other primes are odd. This proves that not all primes are odd. This tests number properties.

8) 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.

9) Identify the next term in the pattern

12x

15x

20x

30x

The pattern increases stepwise in multiples of x. After 12x, the next logical value is 15x. This tests sequence recognition.

Explanation

The pattern increases stepwise in multiples of x. After 12x, the next logical value is 15x. This tests sequence recognition.

10) Compare values x and y without additional data

A greater

B greater

Equal

Cannot determine

Without a defined relationship between x and y, comparison is impossible. This tests reasoning with insufficient data.

Explanation

Without a defined relationship between x and y, comparison is impossible. This tests reasoning with insufficient data.

11) Choose the best word to complete the sentence

Restrained

Frivolous

Ungainly

Controlled

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

Explanation

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

12) Choose the best word to complete the sentence

Predisposed

Taught

Encouraged

Trained

“Predisposed” means naturally inclined. It fits the idea of inherited tendencies. This tests contextual vocabulary understanding.

Explanation

“Predisposed” means naturally inclined. It fits the idea of inherited tendencies. This tests contextual vocabulary understanding.

13) Choose the best word to complete the sentence

Fragrant

Evocative

Dolorous

Fetid

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

Explanation

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

14) Choose the best word to complete the sentence

Worthwhile

Indiscernible

Significant

Superfluous

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

Explanation

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

15) Choose the best word to complete the sentence

Gracious

Indifferent

Ecstatic

Crestfallen

“Gracious” reflects polite behavior despite losing. It matches the tone of the sentence. This tests emotional context.

Explanation

“Gracious” reflects polite behavior despite losing. It matches the tone of the sentence. This tests emotional context.

16) Choose the best word to complete the sentence

Brevity

Pertinacity

Judiciousness

Indirectness

“Brevity” means shortness, which contrasts with “circuitousness.” The sentence requires a logical contrast. This tests advanced vocabulary and contextual reasoning.

Explanation

“Brevity” means shortness, which contrasts with “circuitousness.” The sentence requires a logical contrast. This tests advanced vocabulary and contextual reasoning.