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SBI PO Quantitative Aptitude Syllabus
The Quantitative Aptitude syllabus for SBI PO in full: 3 chapters and 10 topics, every one listed below, plus 50 Quantitative Aptitude flashcards with answers.
Quantitative Aptitude syllabus: all 3 chapters
Expand any chapter to see its topics and sub-topics.
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Arithmetic
4 topics- Number Series
- Simplification
- Percentage
- Ratio and Proportion
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Data Interpretation
4 topics- Bar Graph
- Pie Chart
- Line Graph
- Table Chart
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Algebra
2 topics- Quadratic Equations
- Linear Equations
SBI PO 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 in odd positions and the sum of digits in even positions is 0 or a multiple of 11.
Define a prime number and give the only even prime.
A prime number has exactly two distinct factors: 1 and itself. The only even prime is 2.
What is the difference between co-prime numbers and twin primes?
Co-prime numbers have HCF = 1 (no common factor besides 1), e.g. 8 and 15. Twin primes are pairs of primes differing by 2, e.g. (11, 13).
How are HCF and LCM of two numbers related to the numbers themselves?
HCF × LCM = Product of the two numbers.
What is the divisibility rule for 3 and for 9?
Divisible by 3 if the sum of digits is divisible by 3; divisible by 9 if the sum of digits is divisible by 9.
In simplification, what does the BODMAS order of operations stand for?
Brackets, Of (order/powers), Division, Multiplication, Addition, Subtraction — performed left to right within the same level.
In a BODMAS chain, in what order are the four bracket types solved?
Innermost first: ( ) round/parentheses, then { } curly braces, then [ ] square brackets — vinculum (bar) before all of them.
What is the value of the square of numbers ending in 5, e.g. 35²?
For (a5)², take a × (a+1) and append 25. So 35² = 3×4=12, then 25 → 1225.
List the squares from 11 to 15.
11²=121, 12²=144, 13²=169, 14²=196, 15²=225.
List the cubes from 1 to 6.
1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216.
What is the approximate value of √2, √3 and √5?
√2 ≈ 1.414, √3 ≈ 1.732, √5 ≈ 2.236.
What is the formula for the square root of a number using the relation between squares?
√(a²) = |a|; and √(ab) = √a × √b, √(a/b) = √a / √b (for b ≠0).
How do you convert a recurring decimal like 0.333... to a fraction?
A single repeating digit 0.x̄ = x/9. So 0.333... = 3/9 = 1/3; 0.4545... = 45/99 = 5/11.
Convert 5/8 to a decimal and a percentage.
5/8 = 0.625 = 62.5%.
What fraction equals 12.5%, 16â…”% and 33â…“%?
12.5% = 1/8, 16â…”% = 1/6, 33â…“% = 1/3.
How do you find what percentage one number is of another?
Percentage = (part / whole) × 100.
If a value increases by x% and then decreases by x%, what is the net change?
There is a net decrease of (x²/100)%.
What is the successive percentage change formula for two changes a% and b%?
Net % change = a + b + (ab/100), using signs (+ for increase, − for decrease).
A number is increased by 25%. By what percent must the new number be decreased to get back the original?
Decrease by 20%. (If increased by x%, the reversal decrease is [x/(100+x)]×100; here 25/125×100 = 20%.)
Show the other 30 Quantitative Aptitude flashcards
What is the difference between ratio and proportion?
A ratio compares two quantities (a:b). A proportion states that two ratios are equal (a:b = c:d), where a×d = b×c (product of extremes = product of means).
In partnership, how is profit shared when capitals and time periods differ?
Profit is divided in the ratio of (Capital × Time) for each partner.
What is the third proportional and the mean proportional of two numbers a and b?
Third proportional to a, b is b²/a. Mean proportional of a and b is √(ab).
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.
What are the formulas for Profit% and Loss% based on cost price?
Profit% = (Profit/CP)×100; Loss% = (Loss/CP)×100, where Profit = SP − CP and Loss = CP − SP.
How is selling price found from cost price and a gain of p%?
SP = CP × (100 + p)/100. For a loss of p%, SP = CP × (100 − p)/100.
What is discount and on which price is it calculated?
Discount is a reduction on the Marked Price (MP). Discount = MP − SP; Discount% = (Discount/MP)×100.
A shopkeeper marks goods 40% above cost and gives 25% discount. What is his profit/loss %?
SP = 1.40 × 0.75 × CP = 1.05 CP, so 5% profit.
What is the formula for Simple Interest?
SI = (P × R × T)/100, where P = principal, R = rate% per annum, T = time in years.
What is the Compound Interest amount formula for annual compounding?
A = P(1 + R/100)^T, and CI = A − P.
What is the difference between CI and SI for 2 years on principal P at rate R%?
Difference = P × (R/100)².
For half-yearly compounding, how are rate and time adjusted?
Rate becomes R/2 per half-year and time becomes 2T half-years: A = P(1 + R/200)^(2T).
What is the formula for the average of n numbers?
Average = (Sum of observations) / (Number of observations).
What is the average of the first n natural numbers?
Average = (n + 1)/2.
State the alligation rule (rule of mixtures).
(Quantity of cheaper)/(Quantity of dearer) = (Price of dearer − Mean price)/(Mean price − Price of cheaper).
A vessel has milk and water in ratio 3:2 and from it some is replaced by water repeatedly — what governs the remaining milk?
After replacing/removing operations, remaining quantity = Initial × (1 − replaced fraction)^n for n operations (replacement formula).
What are the basic relations among speed, distance and time?
Speed = Distance/Time; Distance = Speed × Time; Time = Distance/Speed.
How do you convert km/h to m/s and vice versa?
km/h to m/s: multiply by 5/18. m/s to km/h: multiply by 18/5.
What is the average speed for equal distances covered at speeds x and y?
Average speed = 2xy/(x + y) (harmonic mean).
How long does a train of length L take to cross a stationary pole versus a platform of length P?
Pole: time = L/speed. Platform: time = (L + P)/speed.
In boats and streams, what are downstream and upstream speeds (boat u, stream v)?
Downstream = u + v; Upstream = u − v. Boat speed = (down+up)/2; Stream speed = (down−up)/2.
If A does a work in x days and B in y days, how long together?
Time together = xy/(x + y) days; their combined one-day work = 1/x + 1/y.
What is the relationship between efficiency and time in work problems?
Efficiency is inversely proportional to time taken. If A is twice as efficient as B, A takes half the time.
A pipe fills a tank in a hours, another empties it in b hours. Net time to fill when both open?
Net fill rate = 1/a − 1/b per hour; time to fill = ab/(b − a) hours (if a < b).
Two inlet pipes fill a tank in p and q hours. Time to fill together?
Time = pq/(p + q) hours.
If the ratio of present ages of A and B is m:n and sum of ages is S, how do you find each age?
A = S × m/(m+n), B = S × n/(m+n).
In age problems, how do you represent ages 'x years ago' and 'x years hence'?
x years ago: subtract x from present age. x years hence: add x to present age. Set up equations from the given conditions.
A father is 3 times as old as his son; in 12 years he will be twice as old. How to set the equations?
Let son = s, father = 3s. Then 3s + 12 = 2(s + 12) → 3s + 12 = 2s + 24 → s = 12, father = 36.
What is the sum of the first n natural numbers and sum of their squares?
Sum = n(n+1)/2; Sum of squares = n(n+1)(2n+1)/6.
What is the difference between a number reversed and the original two-digit number?
For a two-digit number 10a+b, reversing gives 10b+a; the difference is 9(a−b), always a multiple of 9.
SBI PO Quantitative Aptitude FAQ
What is in the SBI PO Quantitative Aptitude syllabus?
SBI PO Quantitative Aptitude is split into 3 chapters: Arithmetic, Data Interpretation and Algebra. Together they contain 10 topics.
How many chapters are in SBI PO Quantitative Aptitude?
3 chapters, containing 10 topics. The largest chapter is Arithmetic, with 4 topics.
Are there flashcards for SBI PO 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.