SBI PO Quantitative Aptitude Syllabus

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 Quantitative Aptitude in SBI PO, not a summary of it.

1. 1

   Arithmetic

   4 topics

   • Number Series
   • Simplification
   • Percentage
   • Ratio and Proportion
2. 2

   Data Interpretation

   4 topics

   • Bar Graph
   • Pie Chart
   • Line Graph
   • Table Chart
3. 3

   Algebra

   2 topics

   • Quadratic Equations
   • Linear Equations

Quantitative Aptitude flashcards for SBI PO

21 of 50 cards from the Quantitative Aptitude deck — real questions with worked answers.

1. 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.

2. 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.

3. 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.

4. 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).

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

   HCF × LCM = Product of the two numbers.

6. 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.

7. 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.

8. 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.

9. 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.

10. List the squares from 11 to 15.

    11²=121, 12²=144, 13²=169, 14²=196, 15²=225.

11. List the cubes from 1 to 6.

    1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216.

12. What is the approximate value of √2, √3 and √5?

    √2 ≈ 1.414, √3 ≈ 1.732, √5 ≈ 2.236.

13. 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).

14. 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.

15. Convert 5/8 to a decimal and a percentage.

    5/8 = 0.625 = 62.5%.

16. What fraction equals 12.5%, 16⅔% and 33⅓%?

    12.5% = 1/8, 16⅔% = 1/6, 33⅓% = 1/3.

17. How do you find what percentage one number is of another?

    Percentage = (part / whole) × 100.

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

    There is a net decrease of (x²/100)%.

19. 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).

20. 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%.)

21. 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).

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