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SBI PO / Clerk Quantitative Aptitude Syllabus
The Quantitative Aptitude syllabus for SBI PO / Clerk in full: 5 chapters, 25 topics and 39 sub-topics, every one listed below, plus 50 Quantitative Aptitude flashcards with answers.
Quantitative Aptitude syllabus: all 5 chapters
Expand any chapter to see its topics and sub-topics.
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Number System and Simplification
4 topics- Number Properties
- Factors, multiples, LCM and HCF
- Divisibility rules and remainders
- Prime, composite and co-prime numbers
- Simplification and Approximation
- BODMAS rule application
- Decimal, fraction and surd simplification
- Value approximation in mixed expressions
- Squares, Cubes and Roots
- Square roots and cube roots
- Memorised tables, squares up to 30, cubes up to 20
- Indices and Surds
- Laws of exponents
- Rationalisation of surds
- Number Properties
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Arithmetic
7 topics- Percentage
- Percentage to fraction conversions
- Successive percentage change
- Ratio and Proportion
- Compound and continued ratio
- Partnership and proportional division
- Average
- Weighted average
- Average of consecutive series
- Profit, Loss and Discount
- Marked price and successive discount
- Dishonest dealings and false weights
- Simple and Compound Interest
- SI vs CI difference for two and three years
- Half-yearly and quarterly compounding
- Mixtures and Alligation
- Rule of alligation
- Replacement of mixture
- Time, Speed, Distance and Work
- Trains, boats and streams
- Time and work, pipes and cisterns
- Percentage
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Algebra and Mensuration
5 topics- Linear and Quadratic Equations
- Roots and nature of roots
- Quadratic equation comparison (X vs Y)
- Algebraic Identities
- Standard identities and factorisation
- 2D Mensuration
- Triangle, rectangle, circle areas
- Perimeter and sector problems
- 3D Mensuration
- Cube, cuboid, cylinder volumes
- Cone, sphere and hemisphere surface area
- Permutation, Combination and Probability
- Arrangements and selections
- Basic probability of events
- Linear and Quadratic Equations
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Data Interpretation
6 topics- Tabular Data Interpretation
- Bar Graph and Line Graph DI
- Pie Chart Interpretation
- Caselet and Paragraph DI
- Missing and Mixed DI
- Missing data calculation
- Combination of two chart types
- Data Sufficiency
- Two-statement sufficiency
- Quantity comparison format
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Number Series
3 topics- Missing Number Series
- Arithmetic and geometric patterns
- Mixed and combination patterns
- Wrong Number Series
- Find the Next Term
- Missing Number Series
SBI PO / Clerk Quantitative Aptitude flashcards — 50 questions with answers
What is the divisibility rule for 8?
A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
What is the divisibility rule for 11?
A number is divisible by 11 if the difference between the sum of digits at odd positions and the sum of digits at even positions is 0 or a multiple of 11.
How many prime numbers are there between 1 and 100?
There are 25 prime numbers between 1 and 100.
In simplification, what is the BODMAS order of operations?
Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction — performed left to right within the same precedence.
What is the unit digit of 7 raised to any power, based on its cyclicity?
The unit digit of 7 follows a cycle of 4: 7, 9, 3, 1 (for powers 1, 2, 3, 4 respectively), then repeats.
What is the value of the square of 25?
625.
What is the trick to square a number ending in 5, such as 35?
Multiply the tens digit by the next integer (3 x 4 = 12) and append 25, giving 1225.
What is the cube of 12?
1728.
What is the square root of 1369?
37.
How do you simplify the surd expression a^(1/2) x a^(1/3)?
Add the exponents: a^(1/2 + 1/3) = a^(5/6).
What does the law of indices state for a^m / a^n?
a^m / a^n = a^(m-n).
What is the value of any non-zero number raised to the power 0?
1.
How do you convert a fraction like 3/8 into a percentage?
Multiply by 100: (3/8) x 100 = 37.5%.
If a number is increased by 20% then decreased by 20%, what is the net percentage change?
A net decrease of 4% (because 1.20 x 0.80 = 0.96).
What percentage is equivalent to the fraction 1/16?
6.25%.
If A:B = 2:3 and B:C = 4:5, what is A:B:C?
A:B:C = 8:12:15.
In a proportion a:b = c:d, what is the product relationship?
The product of means equals the product of extremes: b x c = a x d.
What is the formula for the average of the first n natural numbers?
(n + 1) / 2.
If the average of 5 numbers is 20 and one number is removed making the new average 18, what was the removed number?
28 (since 100 - 4x18 = 100 - 72 = 28).
What is the formula for Profit Percentage?
Profit % = (Profit / Cost Price) x 100.
Show the other 30 Quantitative Aptitude flashcards
If a single discount equals two successive discounts of 10% and 20%, what is the equivalent single discount?
28% (since 1 - 0.90 x 0.80 = 1 - 0.72 = 0.28).
What is the relationship between Marked Price, Discount, and Selling Price?
Selling Price = Marked Price - Discount; i.e., SP = MP x (1 - Discount%/100).
What is the formula for Simple Interest?
SI = (Principal x Rate x Time) / 100.
What is the formula for the amount under Compound Interest compounded annually?
A = P x (1 + R/100)^T, where the interest is A - P.
For a 2-year period, by how much does Compound Interest exceed Simple Interest at rate R%?
By P x (R/100)^2, i.e., the SI on the first year's interest.
What is the alligation rule for finding the ratio of two mixed quantities?
Ratio of cheaper to dearer = (Dearer price - Mean price) : (Mean price - Cheaper price).
A vessel has 40 L of pure milk; 8 L is removed and replaced with water once. How much pure milk remains?
32 L (40 x (1 - 8/40) = 40 x 0.8 = 32 L).
What is the formula relating speed, distance, and time?
Speed = Distance / Time.
How do you convert a speed from km/h to m/s?
Multiply by 5/18.
If two trains move in opposite directions, how is their relative speed calculated?
By adding their individual speeds.
If A can do a job in 10 days and B in 15 days, in how many days do they finish working together?
6 days (combined rate = 1/10 + 1/15 = 1/6).
What is the quadratic formula for solving ax^2 + bx + c = 0?
x = [-b plus/minus sqrt(b^2 - 4ac)] / (2a).
For a quadratic ax^2 + bx + c = 0, what are the sum and product of the roots?
Sum of roots = -b/a; Product of roots = c/a.
What does the discriminant b^2 - 4ac indicate about quadratic roots?
If > 0 roots are real and distinct; if = 0 roots are real and equal; if < 0 roots are complex/imaginary.
What is the algebraic identity for (a + b)^2?
(a + b)^2 = a^2 + 2ab + b^2.
What is the identity for a^3 + b^3?
a^3 + b^3 = (a + b)(a^2 - ab + b^2).
What is the formula for the area of a circle and its circumference?
Area = pi x r^2; Circumference = 2 x pi x r.
What is the formula for the area of a triangle given base and height?
Area = (1/2) x base x height.
What is the formula for the volume and total surface area of a cube of side a?
Volume = a^3; Total Surface Area = 6a^2.
What is the formula for the volume of a cylinder?
Volume = pi x r^2 x h.
What is the formula for the curved (lateral) surface area of a sphere?
Surface area of a sphere = 4 x pi x r^2.
What is the formula for the number of permutations of n distinct items taken r at a time?
nPr = n! / (n - r)!.
What is the formula for combinations nCr?
nCr = n! / [r! x (n - r)!].
What is the basic definition of the probability of an event?
Probability = Number of favourable outcomes / Total number of possible outcomes.
In Data Interpretation, how do you calculate percentage change between two values?
Percentage change = [(New value - Old value) / Old value] x 100.
In a pie chart, how many degrees correspond to 1% of the total?
3.6 degrees (since 360 degrees / 100 = 3.6).
What is the goal of a Data Sufficiency question?
To determine whether the given statements provide enough information to answer the question — not to compute the final answer itself.
In the series 2, 6, 12, 20, 30, what is the pattern (find the next term)?
Differences increase by 2 (4, 6, 8, 10), so the next term is 42; the pattern is n(n+1).
In a wrong number series, what is the standard approach to identify the odd term?
Find the consistent pattern (differences, ratios, or operations) among most terms, then spot the single term that breaks it.
In the series 3, 6, 12, 24, 48, what is the next term and the rule?
The next term is 96; each term is multiplied by 2 (geometric progression with ratio 2).
SBI PO / Clerk Quantitative Aptitude FAQ
What is in the SBI PO / Clerk Quantitative Aptitude syllabus?
SBI PO / Clerk Quantitative Aptitude is split into 5 chapters: Number System and Simplification, Arithmetic, Algebra and Mensuration, Data Interpretation and Number Series. Together they contain 25 topics and 39 sub-topics.
How many chapters are in SBI PO / Clerk Quantitative Aptitude?
5 chapters, containing 25 topics and 39 sub-topics. The largest chapter is Arithmetic, with 7 topics.
Are there flashcards for SBI PO / Clerk Quantitative Aptitude?
Yes — a 50-card Quantitative Aptitude deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.