Air University Entry Test Quantitative Syllabus

Quantitative syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Quantitative in Air University Entry Test, not a summary of it.

1. 1

   Arithmetic

   5 topics

   • Number systems
   • Ratio and proportion
   • Percentages
   • Profit, loss and discount
   • Average, speed and time
2. 2

   Algebra

   4 topics

   • Linear equations
   • Quadratic equations
   • Algebraic expressions and factorization
   • Inequalities
3. 3

   Geometry

   5 topics

   • Lines and angles
   • Triangles and polygons
   • Circles
   • Area, perimeter and volume
   • Coordinate geometry
4. 4

   Data Interpretation

   3 topics

   • Tables and charts
   • Graphs
   • Basic statistics and averages

Quantitative flashcards for Air University Entry Test

20 of 51 cards from the Quantitative deck — real questions with worked answers.

1. What are natural numbers?

   The counting numbers starting from 1: 1, 2, 3, 4, ... (positive integers, excluding 0).

2. What are whole numbers?

   The natural numbers together with 0: 0, 1, 2, 3, ...

3. Define a prime number and give the only even prime.

   A natural number greater than 1 with exactly two factors (1 and itself). The only even prime is 2.

4. What is a rational number?

   Any number expressible as p/q where p and q are integers and q is not 0 (e.g. 3/4, -2, 0.5).

5. What is an irrational number? Give an example.

   A real number that cannot be written as a ratio of two integers; its decimal is non-terminating and non-repeating. Example: square root of 2, or pi.

6. State the test for divisibility by 3.

   A number is divisible by 3 if the sum of its digits is divisible by 3.

7. State the test for divisibility by 9.

   A number is divisible by 9 if the sum of its digits is divisible by 9.

8. State the test for divisibility by 11.

   A number is divisible by 11 if the difference between the sum of digits in odd positions and the sum of digits in even positions is 0 or a multiple of 11.

9. What is the relationship between HCF and LCM of two numbers a and b?

   HCF(a,b) x LCM(a,b) = a x b.

10. What is a ratio, and how is the ratio a:b expressed as a fraction?

    A ratio compares two quantities of the same kind by division; a:b is written as the fraction a/b.

11. What is a proportion, and what is the key cross-multiplication property?

    A proportion states two ratios are equal: a/b = c/d. Cross-multiplication gives a x d = b x c (product of means = product of extremes).

12. In direct proportion, how do two quantities behave?

    They increase or decrease together so their ratio stays constant: y = kx, meaning y/x is constant.

13. In inverse proportion, how do two quantities behave?

    As one increases the other decreases so their product stays constant: xy = k.

14. How do you divide an amount N in the ratio a:b?

    First part = N x a/(a+b); second part = N x b/(a+b).

15. How do you convert a fraction or decimal to a percentage?

    Multiply by 100 and add the percent sign (e.g. 0.25 x 100 = 25%).

16. How do you express x% of a quantity Q?

    x% of Q = (x/100) x Q.

17. What is the percentage increase or decrease formula?

    Percentage change = (change in value / original value) x 100.

18. If a value increases by x% then decreases by x%, what is the net effect?

    A net decrease of (x squared)/100 percent (never returns to the original).

19. Define profit and loss in terms of cost price (CP) and selling price (SP).

    Profit = SP - CP when SP > CP; Loss = CP - SP when CP > SP.

20. What are the formulas for profit percent and loss percent?

    Profit% = (Profit/CP) x 100; Loss% = (Loss/CP) x 100. Both are calculated on the cost price.

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