SSC CHSL 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 SSC CHSL, not a summary of it.

1. 1

   Quantitative Aptitude by R.S. Aggarwal

   12 topics

   • Number System
   • HCF and LCM
   • Simplification
   • Average
   • Ratio and Proportion
   • Percentage
   • Profit and Loss
   • Simple and Compound Interest
   • Time and Work
   • Time, Speed and Distance
   • Mensuration
   • Data Interpretation

Quantitative Aptitude flashcards for SSC CHSL

21 of 51 cards from the Quantitative Aptitude deck — real questions with worked answers.

1. What are co-prime (relatively prime) numbers?

   Two numbers whose HCF is 1 (e.g., 8 and 15). They share no common factor other than 1.

2. State the divisibility rule for 11.

   A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is 0 or a multiple of 11.

3. 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.

4. Classify natural numbers by their factors into the three basic types.

   Prime (exactly two factors: 1 and itself), Composite (more than two factors), and 1 (which is neither prime nor composite).

5. What is the unit digit of 7^any-power found by? Give the cyclicity of 7.

   The unit digit of powers of 7 repeats in a cycle of 4: 7, 9, 3, 1. Use the power mod 4 to find it.

6. Sum of first n natural numbers formula.

   n(n+1)/2

7. Sum of squares of first n natural numbers formula.

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

8. State the fundamental relation between HCF, LCM and two numbers.

   Product of two numbers = HCF x LCM. So one number = (HCF x LCM) / other number.

9. How do you find the HCF of fractions?

   HCF of fractions = HCF of numerators / LCM of denominators.

10. How do you find the LCM of fractions?

    LCM of fractions = LCM of numerators / HCF of denominators.

11. What is the least number that leaves the same remainder r when dividing by a, b, c?

    It is (LCM of a, b, c) + r, for the smallest such number greater than the divisors.

12. State the BODMAS order of operations.

    Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction — performed left to right within the same level.

13. In simplification, what does the word 'of' mean and what is its priority?

    'Of' means multiplication and is performed before normal division/multiplication (treated with brackets/orders priority).

14. Define the average (arithmetic mean) of n quantities.

    Average = (Sum of all observations) / (Number of observations).

15. Average of first n natural numbers formula.

    (n + 1) / 2

16. Average of first n consecutive even numbers and first n consecutive odd numbers.

    First n even numbers: n + 1. First n odd numbers: n.

17. If the average of n numbers is A and each number is increased by x, what is the new average?

    The new average becomes A + x.

18. How does adding a new value affect average? Give the change formula.

    If a new entry changes the count from n to n+1, the average changes; new average = (old sum + new value)/(n+1). A value above the old average raises it.

19. Define a ratio and what is meant by the 'antecedent' and 'consequent'.

    A ratio a:b compares two quantities by division. 'a' (the first term) is the antecedent; 'b' (the second term) is the consequent.

20. What is the fourth proportional to a, b, c?

    The number x such that a:b = c:x, giving x = (b x c)/a.

21. What is the third proportional to a and b?

    The number x such that a:b = b:x, giving x = b^2 / a.

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