RBI Grade B Officer 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 Officer, not a summary of it.

1. 1

   Number System and Arithmetic

   4 topics

   • Number Properties and Simplification
     • LCM, HCF, factors
     • BODMAS and approximation
   • Percentages, Ratio and Proportion
     • Percentage change and applications
     • Partnership and mixtures
   • Profit, Loss and Interest
     • Discount and markup
     • Simple and compound interest
   • Time, Speed, Distance and Work
     • Trains, boats and streams
     • Time and work, pipes and cisterns
2. 2

   Algebra and Advanced Mathematics

   3 topics

   • Equations and Inequalities
     • Linear and quadratic equations
     • Quadratic comparison problems
   • Permutation, Combination and Probability
     • Counting principles
     • Basic probability
   • Sequences and Series
     • Arithmetic and geometric progressions
     • Number series completion
3. 3

   Data Interpretation and Analysis

   3 topics

   • Tabular and Graphical DI
     • Bar graphs and line charts
     • Pie charts and tables
   • Caselet and Mixed DI
     • Paragraph-based caselets
     • Missing data DI
   • Data Sufficiency
     • Two-statement sufficiency
     • Quantity comparison

Quantitative Aptitude and Data Interpretation flashcards for RBI Grade B Officer

23 of 50 cards from the Quantitative Aptitude and Data Interpretation deck — real questions with worked answers.

1. What is the divisibility rule for 8?

   A number is divisible by 8 if its last three digits form a number divisible by 8.

2. State the divisibility rule for 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.

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

   HCF x LCM = product of the two numbers.

4. What is the formula for the sum of the first n natural numbers?

   n(n+1)/2.

5. What is the formula for the sum of the squares of the first n natural numbers?

   n(n+1)(2n+1)/6.

6. What is the formula for the sum of the cubes of the first n natural numbers?

   [n(n+1)/2]^2, i.e. the square of the sum of the first n natural numbers.

7. How do you find the number of factors of a number from its prime factorization p^a x q^b x r^c?

   Multiply (a+1)(b+1)(c+1).

8. What is the unit digit of any power of a number ending in 5 or 6?

   It is always 5 (for numbers ending in 5) and always 6 (for numbers ending in 6).

9. What is the formula to convert a fraction to a percentage?

   Percentage = (fraction value) x 100, i.e. (part/whole) x 100.

10. If a value increases by x% and then decreases by x%, what is the net change?

    A net decrease of x^2/100 percent.

11. For successive percentage changes of a% and b%, what is the net percentage change?

    a + b + (ab/100) percent (signs of a and b included).

12. If A is x% more than B, by what percent is B less than A?

    B is less than A by [x/(100+x)] x 100 percent.

13. In a ratio a:b, if both terms are multiplied by the same nonzero number, what happens to the ratio?

    The ratio remains unchanged.

14. What does the proportion a:b :: c:d imply about the products of terms?

    The product of the means equals the product of the extremes: b x c = a x d.

15. How do you find the mean proportional between two numbers a and b?

    It is the square root of (a x b).

16. What is the basic formula for profit percentage?

    Profit% = (Profit / Cost Price) x 100.

17. What is the formula for Selling Price in terms of Cost Price and gain percent?

    SP = CP x (100 + gain%)/100.

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

    There is always a net loss of x^2/100 percent.

19. What is the simple interest formula?

    SI = (P x R x T)/100, where P is principal, R is rate per annum, T is time in years.

20. What is the compound interest amount formula for annual compounding?

    A = P(1 + R/100)^T, and CI = A - P.

21. For 2 years, what is the difference between compound interest and simple interest on principal P at rate R%?

    Difference = P x (R/100)^2.

22. How does compounding half-yearly change the CI formula?

    Rate becomes R/2 per period and time becomes 2T periods: A = P(1 + R/200)^(2T).

23. What is the relationship between speed, distance and time?

    Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.

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