NTS GAT-General Quantitative Reasoning Syllabus

Quantitative Reasoning syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Quantitative Reasoning in NTS GAT-General, not a summary of it.

1. 1

   Arithmetic

   7 topics

   • Number Properties
   • Fractions, Decimals and Percentages
   • Ratio and Proportion
   • Profit, Loss and Discount
   • Simple and Compound Interest
   • Average, Speed and Distance
   • Time and Work
2. 2

   Algebra

   7 topics

   • Algebraic Expressions and Identities
   • Linear Equations
   • Quadratic Equations
   • Exponents and Radicals
   • Sequences and Series
   • Functions and Linear Graphs
   • Matrices and Determinants
3. 3

   Geometry

   7 topics

   • Lines and Angles
   • Triangles
   • Quadrilaterals and Polygons
   • Circles and Their Properties
   • Perimeter, Area and Volume
   • Coordinate Geometry
   • Basic Trigonometry
4. 4

   Data Processing and Interpretation

   4 topics

   • Tables and Charts
   • Descriptive Statistics
   • Probability Basics
   • Permutations and Combinations

Quantitative Reasoning flashcards for NTS GAT-General

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

1. What are prime numbers, and what is the only even prime number?

   A prime number is a natural number greater than 1 that has exactly two factors: 1 and itself. 2 is the only even prime number.

2. State the divisibility rules for 3 and 9.

   A number is divisible by 3 if the sum of its digits is divisible by 3; it is divisible by 9 if the sum of its digits is divisible by 9.

3. How are the LCM and HCF (GCD) of two numbers related to the numbers themselves?

   For two numbers a and b: HCF × LCM = a × b.

4. What is the difference between rational and irrational numbers?

   A rational number can be written as a fraction p/q (q ≠ 0) of integers and has a terminating or recurring decimal; an irrational number cannot be written as such a fraction and has a non-terminating, non-recurring decimal (e.g., √2, π).

5. State the rule for the sign of a product/quotient based on the number of negative factors.

   If the number of negative factors is even, the result is positive; if odd, the result is negative.

6. How do you convert a fraction to a percentage and a percentage to a decimal?

   Multiply the fraction by 100 to get a percentage; divide the percentage by 100 (move decimal two places left) to get a decimal.

7. To find what percent one number is of another, what is the formula?

   Percentage = (part / whole) × 100.

8. What is the formula for percentage increase or decrease?

   Percentage change = (change in value / original value) × 100, where change = new value − original value.

9. If a quantity is increased by x% and then decreased by x%, what is the net effect?

   There is a net decrease of (x²/100)%; the original value is not restored.

10. How do you add two fractions with different denominators?

    Find the LCM of the denominators, convert each fraction to an equivalent fraction with that common denominator, then add the numerators.

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

    A proportion states two ratios are equal, a/b = c/d. By cross-multiplication, a × d = b × c (the product of the means equals the product of the extremes).

12. How do you divide a quantity Q in the ratio a : b?

    First part = Q × a/(a+b); second part = Q × b/(a+b).

13. Distinguish between direct and inverse proportion.

    In direct proportion, two quantities increase or decrease together so y/x is constant. In inverse proportion, one increases as the other decreases so their product x·y is constant.

14. What is the basic relationship between cost price (CP), selling price (SP), and profit or loss?

    Profit = SP − CP (when SP > CP); Loss = CP − SP (when CP > SP).

15. State the formulas for profit percent and loss percent.

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

16. How is selling price calculated from cost price and profit percent?

    SP = CP × (100 + Profit%)/100. For a loss, SP = CP × (100 − Loss%)/100.

17. What is discount, and on what value is it calculated?

    Discount is a reduction on the marked (list) price. Discount = Marked Price − Selling Price, and Discount% = (Discount / Marked Price) × 100.

18. What is the formula for simple interest?

    Simple Interest (SI) = (P × R × T)/100, where P = principal, R = rate percent per annum, T = time in years.

19. What is the formula for the amount under compound interest (compounded annually)?

    A = P(1 + R/100)^T, and Compound Interest = A − P, where P = principal, R = annual rate percent, T = time in years.

20. How does the compound interest formula change when interest is compounded n times per year?

    A = P(1 + R/(100n))^(nT), where n is the number of compounding periods per year.

21. What is the formula for the average (arithmetic mean) of a set of numbers?

    Average = (sum of all observations) / (number of observations).

22. State the relationship between speed, distance, and time.

    Speed = Distance / Time; Distance = Speed × Time; Time = Distance / Speed.

23. What is the formula for average speed over a whole journey?

    Average speed = Total distance travelled / Total time taken (not the simple average of the speeds).

24. How do you convert a speed from km/h to m/s and vice versa?

    To convert km/h to m/s multiply by 5/18; to convert m/s to km/h multiply by 18/5.

25. In time and work problems, if a person completes a job in n days, what fraction is done in one day?

    They complete 1/n of the work in one day; this one-day work rate is the basis for combining workers.

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