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SSC CHSL Quantitative Aptitude Syllabus

The Quantitative Aptitude syllabus for SSC CHSL in full: 1 chapter and 12 topics, every one listed below, plus 51 Quantitative Aptitude flashcards with answers.

1Chapters
12Topics
51Flashcards

Quantitative Aptitude syllabus: 1 chapter, 12 topics

Expand any chapter to see its topics and sub-topics.

  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

SSC CHSL Quantitative Aptitude flashcards — 51 questions with 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.

Show the other 31 Quantitative Aptitude flashcards

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

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

  2. What is the mean proportional (geometric mean) between a and b?

    The square root of (a x b), i.e., √(ab).

  3. How do you divide an amount in the ratio a:b:c?

    Each share = amount x (its part / sum of parts). E.g., first share = amount x a/(a+b+c).

  4. Convert: to change a fraction to a percentage and a percentage to a fraction.

    Fraction to percent: multiply by 100. Percent to fraction: divide by 100 (i.e., x% = x/100).

  5. Percentage increase/decrease formula.

    Percentage change = (Change in value / Original value) x 100.

  6. If a quantity is increased by x% then decreased by x%, what is the net change?

    There is a net decrease of (x^2 / 100)%.

  7. Successive percentage change formula for changes a% and b%.

    Net % change = a + b + (ab/100), where a decrease is taken as negative.

  8. Define cost price, selling price, profit and loss.

    Cost Price (CP) = price paid; Selling Price (SP) = price sold. Profit = SP - CP (when SP > CP); Loss = CP - SP (when CP > SP).

  9. Profit% and Loss% are calculated on which value, and give the formulas.

    Both are calculated on Cost Price. Profit% = (Profit/CP) x 100; Loss% = (Loss/CP) x 100.

  10. Formula relating SP, CP and Profit% (and Loss%).

    SP = CP x (100 + Profit%)/100; for loss, SP = CP x (100 - Loss%)/100.

  11. Define marked price and discount; how is discount calculated?

    Marked Price (MP) is the listed price. Discount = MP - SP, and Discount% = (Discount/MP) x 100.

  12. What is the dishonest dealer's gain% when using false weight?

    Gain% = (Error / (True value - Error)) x 100, where error is the shortfall in the weight given.

  13. Simple Interest formula.

    SI = (P x R x T) / 100, where P = principal, R = rate per annum, T = time in years.

  14. Compound Interest amount formula (annual compounding).

    A = P(1 + R/100)^T; CI = A - P.

  15. For 2 years, what is the difference between CI and SI on principal P at rate R%?

    Difference = P x (R/100)^2.

  16. How do you adjust the CI formula for half-yearly compounding?

    Use rate R/2 and time 2T: A = P(1 + R/200)^(2T).

  17. Compare SI and CI for the same P, R, T over more than one year.

    CI is always greater than SI (after the first period) because interest is earned on accumulated interest; for the first year they are equal.

  18. Basic Time and Work relationship: if a person does work in n days, what is one day's work?

    One day's work = 1/n of the total work.

  19. If A does a job in x days and B in y days, how long together?

    Together they take (xy)/(x+y) days; combined one-day work = 1/x + 1/y.

  20. State the work-equivalence (M1 D1 H1 / W1 = M2 D2 H2 / W2) formula in words.

    Men x Days x Hours per day, divided by Work done, is constant — used to relate two work situations.

  21. Relationship between efficiency and time taken.

    Efficiency is inversely proportional to time. If A is twice as efficient as B, A takes half the time B takes.

  22. Pipes and cisterns: how do filling and emptying pipes combine?

    Filling pipes add to the rate (positive), emptying pipes subtract (negative); net rate = sum of individual rates.

  23. Convert km/hr to m/s and m/s to km/hr.

    km/hr to m/s: multiply by 5/18. m/s to km/hr: multiply by 18/5.

  24. Fundamental relation between speed, distance and time.

    Speed = Distance / Time; Distance = Speed x Time; Time = Distance / Speed.

  25. Average speed for equal distances at speeds x and y.

    Average speed = 2xy/(x+y) (harmonic mean), not the simple average.

  26. Time for a train of length L to cross a platform of length P at speed S.

    Time = (L + P) / S. To cross a pole, time = L / S.

  27. Boats and streams: downstream and upstream speed formulas.

    If boat speed = b and stream = s: downstream = b + s, upstream = b - s. So b = (down+up)/2, s = (down-up)/2.

  28. State the relative speed for two objects moving in the same direction and in opposite directions.

    Same direction: difference of speeds. Opposite direction: sum of speeds.

  29. Area and perimeter of a circle, and area of a triangle.

    Circle area = πr^2, circumference = 2πr. Triangle area = (1/2) x base x height.

  30. Total surface area and volume of a cylinder.

    Volume = πr^2h; Total surface area = 2πr(r + h).

  31. In Data Interpretation, how do you read a pie chart value and find percentage represented by a sector?

    Each sector's central angle out of 360 degrees gives its share: percentage = (sector angle / 360) x 100; value = that fraction x total.

SSC CHSL Quantitative Aptitude FAQ

What is in the SSC CHSL Quantitative Aptitude syllabus?

SSC CHSL Quantitative Aptitude is split into 1 chapter: Quantitative Aptitude by R.S. Aggarwal. Together they contain 12 topics.

How many chapters are in SSC CHSL Quantitative Aptitude?

1 chapter, containing 12 topics.

Are there flashcards for SSC CHSL Quantitative Aptitude?

Yes — a 51-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.