RBI Assistant Numerical Ability (Quantitative Aptitude) Syllabus

Numerical Ability (Quantitative Aptitude) syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Numerical Ability (Quantitative Aptitude) in RBI Assistant, not a summary of it.

1. 1

   Arithmetic Fundamentals

   5 topics

   • Number System
     • Divisibility rules
     • LCM and HCF
     • Surds and indices
   • Simplification and Approximation
     • BODMAS application
     • Approximation of decimals and fractions
   • Percentage
     • Percentage change and conversion
     • Successive percentages
   • Ratio and Proportion
     • Compound ratio
     • Partnership problems
   • Average
2. 2

   Commercial Arithmetic

   5 topics

   • Profit, Loss and Discount
     • Marked price and cost price relations
     • Successive discounts
   • Simple and Compound Interest
     • Half-yearly and quarterly compounding
     • Difference between SI and CI
   • Time, Speed and Distance
     • Relative speed
     • Trains, boats and streams
   • Time and Work
     • Pipes and cisterns
     • Work and wages
   • Mixtures and Alligation
3. 3

   Data Interpretation

   4 topics

   • Tabular DI
   • Bar Graphs and Line Graphs
   • Pie Charts
   • Caselet and Mixed DI
     • Word-problem based data sets
     • Missing data interpretation
4. 4

   Advanced Quantitative Topics

   5 topics

   • Number Series
     • Missing number series
     • Wrong term series
   • Quadratic Equations and Inequalities
     • Comparison of two variables
   • Permutation, Combination and Probability
   • Mensuration
     • Area and perimeter of 2D figures
     • Volume and surface area of 3D solids
   • Data Sufficiency

Numerical Ability (Quantitative Aptitude) flashcards for RBI Assistant

25 of 50 cards from the Numerical Ability (Quantitative Aptitude) deck — real questions with worked answers.

1. In the decimal number system, how are numbers classified into natural numbers, whole numbers, and integers?

   Natural numbers: counting numbers starting from 1 (1,2,3,...). Whole numbers: natural numbers including 0 (0,1,2,3,...). Integers: all whole numbers plus their negatives (...,-2,-1,0,1,2,...).

2. What is the divisibility rule for 3, 9, and 11?

   Divisible by 3 if the sum of digits is divisible by 3. Divisible by 9 if the sum of digits is divisible by 9. Divisible by 11 if the difference between the sum of digits in odd places and even places is 0 or divisible by 11.

3. What is the divisibility rule for 4 and 8?

   Divisible by 4 if the last two digits form a number divisible by 4. Divisible by 8 if the last three digits form a number divisible by 8.

4. What is the relationship between LCM and HCF of two numbers?

   Product of two numbers = LCM × HCF. So LCM × HCF = a × b.

5. What is the sum of the first n natural numbers, sum of first n squares, and sum of first n cubes?

   Sum = n(n+1)/2. Sum of squares = n(n+1)(2n+1)/6. Sum of cubes = [n(n+1)/2]^2.

6. In Simplification, what is the BODMAS/VBODMAS order of operations?

   V-Vinculum (bar), B-Brackets, O-Of (orders/powers), D-Division, M-Multiplication, A-Addition, S-Subtraction. Solve brackets first, then powers, then ×/÷ left to right, then +/- left to right.

7. In Approximation, how do you quickly approximate a value like 49.8% of 600?

   Round figures to convenient values: 49.8% ≈ 50%, so 50% of 600 = 300. Replace percentages and decimals with nearby easy fractions/values to estimate quickly.

8. How do you convert a fraction to a percentage and vice versa?

   Fraction to percentage: multiply by 100 (e.g., 3/4 = 75%). Percentage to fraction: divide by 100 (e.g., 40% = 40/100 = 2/5).

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

   Net change is a decrease of (x^2/100)%. For example, +20% then -20% gives a net 4% decrease.

10. What is the formula for successive percentage change of a% followed by b%?

    Net percentage change = a + b + (ab/100), where increases are positive and decreases are negative.

11. If A is x% more than B, by what percentage is B less than A?

    B is less than A by [x/(100+x)] × 100 %. For example, if A is 25% more than B, B is (25/125)×100 = 20% less than A.

12. In Ratio and Proportion, what is the difference between a ratio and a proportion?

    A ratio compares two quantities (a:b). A proportion is an equality of two ratios (a:b = c:d), where the product of means equals the product of extremes: a×d = b×c.

13. What are the four types of proportion: mean proportional, third proportional, and fourth proportional?

    For a:b = c:d, d is the fourth proportional. Mean proportional of a and b = √(ab). Third proportional of a and b satisfies a:b = b:x, so x = b²/a.

14. If a:b = 2:3 and b:c = 4:5, what is a:b:c?

    Make b common: a:b = 8:12, b:c = 12:15. So a:b:c = 8:12:15.

15. What is the formula for average and how does adding/removing an element change it?

    Average = (Sum of observations)/(Number of observations). When a new value is added, new average = (old sum + new value)/(old count + 1).

16. What is the average of first n natural numbers and average of first n consecutive even/odd numbers?

    Average of first n natural numbers = (n+1)/2. Average of first n even numbers = (n+1). Average of first n odd numbers = n.

17. If the average of a group changes when one member's value is replaced, how do you find the change?

    Change in average = (difference between new and old value)/(number of members). New value = old value + (change in average × number of members).

18. What are the formulas for Profit, Loss, Profit% and Loss%?

    Profit = SP − CP; Loss = CP − SP. Profit% = (Profit/CP)×100; Loss% = (Loss/CP)×100. SP = CP × (100±profit/loss%)/100.

19. How is marked price related to discount and selling price?

    Discount = Marked Price (MP) − Selling Price (SP). SP = MP × (100 − discount%)/100. Discount% = (Discount/MP)×100.

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

    There is always a net loss of (x²/100)%, regardless of the cost prices.

21. What is the formula for Simple Interest, and for Amount?

    Simple Interest (SI) = (P × R × T)/100, where P=principal, R=rate% per annum, T=time in years. Amount = P + SI = P(1 + RT/100).

22. What is the formula for Compound Interest (compounded annually)?

    Amount = P(1 + R/100)^T. Compound Interest = Amount − P = P[(1 + R/100)^T − 1].

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

    Difference (2 years) = P(R/100)². For 3 years, difference = P(R/100)²(3 + R/100) = P(R²(300+R))/100³.

24. How is compound interest calculated when compounded half-yearly or quarterly?

    Half-yearly: rate becomes R/2 and time becomes 2T, so A = P(1 + R/200)^(2T). Quarterly: A = P(1 + R/400)^(4T).

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

    Speed = Distance/Time; Distance = Speed × Time; Time = Distance/Speed. Speed is inversely proportional to time for a fixed distance.

See more Numerical Ability (Quantitative Aptitude) flashcards →

Planning Numerical Ability (Quantitative Aptitude) for RBI Assistant

Numerical Ability (Quantitative Aptitude) (RBI Assistant) FAQ