RBI Grade B Quantitative Aptitude and Data Interpretation Syllabus

Quantitative Aptitude and Data Interpretation syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Quantitative Aptitude and Data Interpretation in RBI Grade B, not a summary of it.

1. 1

   Arithmetic Foundations

   4 topics

   • Number System
     • HCF, LCM, divisibility
     • Simplification and approximation
   • Percentages and Ratios
     • Percentage change
     • Ratio and proportion
   • Profit, Loss and Interest
     • Simple and compound interest
     • Discount and marked price
   • Time, Speed and Work
     • Time and distance
     • Time and work, pipes and cisterns
2. 2

   Algebra and Modern Maths

   4 topics

   • Equations
     • Linear and quadratic equations
   • Permutations and Combinations
     • Counting principles
   • Probability
     • Basic probability rules
   • Sequences and Series
     • Arithmetic and geometric progressions
3. 3

   Data Interpretation

   3 topics

   • Tabular and Graphical DI
     • Tables, bar and line graphs
     • Pie charts
   • Caselet and Mixed DI
     • Paragraph-based data
     • Combined chart sets
   • Data Sufficiency
     • Single and two-statement formats
4. 4

   Statistics and Quantitative Reasoning

   3 topics

   • Measures of Central Tendency
     • Mean, median, mode
   • Dispersion
     • Variance and standard deviation
   • Quantity Comparison
     • Quantity I vs Quantity II problems

Quantitative Aptitude and Data Interpretation flashcards for RBI Grade B

23 of 51 cards from the Quantitative Aptitude and Data Interpretation deck — real questions with worked answers.

1. In the number system, what is the difference between a rational and an irrational number?

   A rational number can be expressed as a fraction p/q (q ≠ 0) where p and q are integers, and its decimal either terminates or repeats. An irrational number cannot be written as such a fraction; its decimal is non-terminating and non-repeating (e.g., √2, π).

2. State the divisibility rules for 8 and 11.

   A number is divisible by 8 if its last three digits form a number divisible by 8. It is divisible by 11 if the difference between the sum of digits in odd positions and the sum in even positions is 0 or a multiple of 11.

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

   For two numbers a and b, HCF(a,b) × LCM(a,b) = a × b. This holds only for two numbers, not for three or more.

4. What is the unit digit of a number raised to a power, and what is the cyclicity concept?

   The unit digit repeats in cycles as the power increases. Most digits have a cyclicity of 4 (e.g., 2,3,7,8); 4 and 9 have cyclicity 2; 0,1,5,6 always give the same unit digit. Divide the exponent by the cyclicity and use the remainder to find the unit digit.

5. How do you find the number of trailing zeros in n! (factorial)?

   Count the factors of 5: trailing zeros = [n/5] + [n/25] + [n/125] + ... (floor of each), since each pair of 2 and 5 makes a zero and 5s are scarcer than 2s.

6. What is the relationship between percentage increase and the equivalent multiplying factor?

   An increase of x% corresponds to multiplying by (1 + x/100); a decrease of x% corresponds to multiplying by (1 − x/100). For example, a 20% increase means multiply by 1.20.

7. If a quantity is first increased by x% and then decreased by x%, what is the net change?

   There is a net decrease of (x²/100)%. For example, +10% then −10% gives a net decrease of 1%.

8. How do you convert a fraction a/b into a percentage, and what is a quick way to handle common fractions?

   Percentage = (a/b) × 100. Memorize common ones: 1/2 = 50%, 1/3 ≈ 33.33%, 1/4 = 25%, 1/5 = 20%, 1/6 ≈ 16.67%, 1/8 = 12.5%, 1/11 ≈ 9.09%.

9. In a ratio a : b, what happens to the ratio when both terms are multiplied or divided by the same non-zero number?

   The ratio remains unchanged. a : b = ka : kb for any non-zero k. This property is used to simplify ratios to their lowest terms.

10. What is the difference between componendo-dividendo applied to a proportion a/b = c/d?

    If a/b = c/d, then by componendo and dividendo, (a+b)/(a−b) = (c+d)/(c−d). It is a shortcut to relate sums and differences of proportional quantities.

11. How is profit or loss percentage calculated, and on what is it based?

    Profit% = (Profit/Cost Price) × 100 and Loss% = (Loss/Cost Price) × 100. Both are always calculated on the Cost Price unless stated otherwise.

12. What is the formula relating Selling Price, Cost Price, and a marked discount?

    Selling Price = Marked Price × (1 − Discount%/100). Also, SP = CP × (1 + Profit%/100) or CP × (1 − Loss%/100).

13. If two articles are sold at the same selling price, one at x% profit and the other at x% loss, what is the overall result?

    There is always an overall loss of (x²/100)%, regardless of the selling price.

14. Write the simple interest formula and define each term.

    SI = (P × R × T)/100, where P = principal, R = rate per annum (%), and T = time in years. The amount is A = P + SI.

15. Write the compound interest formula for annual compounding and the formula for amount.

    Amount A = P(1 + R/100)^T, and CI = A − P, where P = principal, R = annual rate (%), and T = time in years.

16. What is the difference between CI and SI for 2 years on the same principal and rate?

    CI − SI (for 2 years) = P(R/100)². This represents the interest on the first year's interest.

17. How is the effective annual rate found when interest is compounded more than once a year?

    For interest compounded n times a year at nominal rate R%, Amount = P(1 + R/(100n))^(nT). The effective annual rate = [(1 + R/(100n))^n − 1] × 100%.

18. State the basic relationship between distance, speed, and time.

    Distance = Speed × Time. Therefore Speed = Distance/Time and Time = Distance/Speed.

19. How do you compute relative speed for two objects moving in the same and opposite directions?

    Opposite directions: relative speed = sum of the speeds. Same direction: relative speed = difference of the speeds.

20. How do you convert 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.

21. What is the formula for average speed over two equal distances travelled at speeds x and y?

    Average speed = 2xy/(x+y), the harmonic mean of the two speeds. (This applies only when the distances are equal.)

22. In time-and-work problems, how is one day's work used, and how do combined rates work?

    If a person finishes a job in n days, their one day's work = 1/n. When several people work together, add their per-day rates; combined time = 1 ÷ (sum of rates).

23. How are time-and-work problems related to pipes-and-cisterns problems?

    They use the same logic: an inlet pipe filling a tank in n hours does 1/n per hour (positive rate); an outlet/leak emptying it is a negative rate. Net rate = sum of inlet rates − sum of outlet rates.

See more Quantitative Aptitude and Data Interpretation flashcards →

Planning Quantitative Aptitude and Data Interpretation for RBI Grade B

Quantitative Aptitude and Data Interpretation (RBI Grade B) FAQ