IRDAI Assistant Manager Quantitative Aptitude and Data Interpretation Syllabus

Quantitative Aptitude and Data Interpretation 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 and Data Interpretation in IRDAI Assistant Manager, not a summary of it.

1. 1

   Number System and Simplification

   4 topics

   • Number Properties, LCM and HCF
   • Simplification and Approximation (BODMAS)
   • Surds, Indices and Square/Cube Roots
   • Wrong Number and Missing Number Series
2. 2

   Arithmetic

   6 topics

   • Percentage, Ratio and Proportion
   • Profit, Loss and Discount
   • Simple and Compound Interest
     • Effective rate and instalment problems
   • Time, Speed, Distance and Trains
   • Time and Work, Pipes and Cisterns
   • Mixtures, Alligation, Ages, Averages and Partnership
3. 3

   Advanced Mathematics

   4 topics

   • Permutation, Combination and Probability
   • Mensuration (2D and 3D)
   • Quadratic Equations and Inequalities
   • Sequences, Series and Progressions
4. 4

   Data Interpretation

   5 topics

   • Tabular and Line Graph DI
   • Bar Graph and Pie Chart DI
   • Caselet and Paragraph-based DI
   • Mixed, Missing and Comparative DI
   • Data Sufficiency in Quantitative Context

Quantitative Aptitude and Data Interpretation flashcards for IRDAI Assistant Manager

23 of 51 cards from the Quantitative Aptitude and Data Interpretation deck — real questions with worked answers.

1. What distinguishes prime numbers from composite numbers, and which is the only even prime?

   A prime number has exactly two distinct factors, 1 and itself (e.g. 2, 3, 5, 7). A composite number has more than two factors (e.g. 4, 6, 9). 2 is the only even prime number; 1 is neither prime nor composite.

2. State the relationship between the LCM and HCF of two numbers.

   For two numbers a and b: LCM x HCF = a x b. So if you know any three of these quantities you can find the fourth, e.g. LCM = (a x b) / HCF.

3. How do you find the HCF and LCM of fractions?

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

4. What is the correct order of operations under the BODMAS rule?

   Brackets, Orders (powers/roots), Division and Multiplication (left to right), then Addition and Subtraction (left to right). Division and multiplication share the same priority and are done left to right, as are addition and subtraction.

5. In BODMAS, how is the 'of' operation treated, e.g. in 1/2 of 8 + 4?

   'of' means multiplication and is performed immediately after brackets, before normal division and multiplication. So 1/2 of 8 + 4 = (1/2 x 8) + 4 = 4 + 4 = 8.

6. What is a surd, and how do you rationalise a denominator of the form 1/(a + sqrt(b))?

   A surd is an irrational root that cannot be simplified to a rational number, e.g. sqrt(2). To rationalise 1/(a + sqrt(b)), multiply numerator and denominator by the conjugate (a - sqrt(b)), giving (a - sqrt(b)) / (a^2 - b).

7. State the key laws of indices for a^m x a^n, a^m / a^n, (a^m)^n, and a^0.

   a^m x a^n = a^(m+n); a^m / a^n = a^(m-n); (a^m)^n = a^(mn); a^0 = 1 (for a not equal to 0). Also a^(-n) = 1/a^n and a^(1/n) = nth root of a.

8. How do you estimate the square root of a number that is not a perfect square, e.g. approximate sqrt(50)?

   Find the two nearest perfect squares: 49 (=7^2) and 64 (=8^2). Since 50 is just above 49, sqrt(50) is approximately 7.07, slightly more than 7.

9. In a wrong-number series, what is the standard approach to find the odd term?

   Identify the pattern (arithmetic difference, geometric ratio, squares/cubes, or a combined operation) from the terms that fit, then locate the single term that breaks that pattern. That term is the wrong number.

10. In a missing-number series like 2, 6, 12, 20, __ , 42, how do you find the missing term?

    Look at the differences: 4, 6, 8, ... increasing by 2 each time. After 20 the next difference is 10, giving 30. (The series is n^2 + n: 2,6,12,20,30,42.)

11. How do you convert a fraction or ratio to a percentage and vice versa?

    To convert a fraction to a percentage, multiply by 100 (e.g. 3/4 = 75%). To convert a percentage to a fraction, divide by 100 and simplify (e.g. 40% = 40/100 = 2/5).

12. If a quantity increases by x% and then decreases by x%, what is the net percentage change?

    There is a net decrease of (x^2/100)%. For example, a 10% rise followed by a 10% fall gives a net change of -(10^2/100) = -1%, i.e. a 1% overall decrease.

13. How do you divide a quantity in the ratio a : b : c?

    Total parts = a + b + c. Each share = (its part / total parts) x total quantity. E.g. dividing 120 in 1:2:3 gives 20, 40, 60.

14. What is the difference between direct proportion and inverse proportion?

    In direct proportion, two quantities increase or decrease together so their ratio is constant (y = kx). In inverse proportion, one increases as the other decreases so their product is constant (xy = k).

15. State the basic formulas for profit/loss percentage based on cost price (CP).

    Profit% = (Profit / CP) x 100 and Loss% = (Loss / CP) x 100, where Profit = SP - CP and Loss = CP - SP. Profit and loss percentages are always calculated on the cost price unless stated otherwise.

16. How is discount calculated, and what is the difference between marked price and selling price?

    Marked price (MP) is the listed/labelled price. Discount = MP x Discount% / 100, and Selling price (SP) = MP - Discount. Profit/loss is still measured against the cost price, not the marked price.

17. A trader uses false weights and sells at cost price; what is the gain percentage formula?

    Gain% = (Error / (True value - Error)) x 100, where error is the shortfall in weight. E.g. selling 900 g as 1 kg gives gain% = (100 / 900) x 100 = 11.11%.

18. State the formula for Simple Interest and for the amount.

    Simple Interest (SI) = (P x R x T) / 100, where P = principal, R = rate per annum, T = time in years. Amount = P + SI = P(1 + RT/100).

19. State the Compound Interest amount formula for annual compounding.

    Amount A = P(1 + R/100)^T, and Compound Interest = A - P, where P = principal, R = annual rate, T = number of years.

20. For 2 years, what is the difference between Compound Interest and Simple Interest on the same principal and rate?

    Difference = P x (R/100)^2 for 2 years. For 3 years the difference is P x (R/100)^2 x (3 + R/100).

21. State the fundamental relation between speed, distance and time, and the units conversion between km/h and m/s.

    Speed = Distance / Time, so Distance = Speed x Time and Time = Distance / Speed. To convert km/h to m/s multiply by 5/18; to convert m/s to km/h multiply by 18/5.

22. How do you compute the time for a train of length L to pass a stationary pole versus a platform of length P?

    To pass a pole, the train covers its own length L: time = L / speed. To pass a platform, it covers L + P: time = (L + P) / speed.

23. How do you find relative speed for two trains moving in the same direction and in opposite directions?

    Same direction: relative speed = difference of speeds (s1 - s2). Opposite directions: relative speed = sum of speeds (s1 + s2). Time to cross = combined length / relative speed.

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