MH CET MBA 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 MH CET MBA, not a summary of it.

1. 1

   Arithmetic

   8 topics

   • Percentage
   • Ratio, Proportion and Partnership
   • Profit, Loss and Discount
   • Simple and Compound Interest
   • Time, Speed and Distance
     • Trains, boats and streams
     • Relative speed and circular tracks
   • Time and Work
     • Pipes and cisterns
     • Efficiency and wages
   • Mixtures, Alligations and Averages
   • Ages and Numbers
2. 2

   Algebra

   5 topics

   • Linear and Quadratic Equations
   • Surds, Indices and Logarithms
   • Inequalities (Algebraic)
   • Sequences, Series, Progressions
     • Arithmetic progression
     • Geometric progression
   • Simplification and Approximation
3. 3

   Geometry & Mensuration

   5 topics

   • Lines, Angles and Triangles
   • Circles and Polygons
   • Coordinate Geometry (Basics)
   • Area and Perimeter (2D Mensuration)
   • Surface Area and Volume (3D Mensuration)
     • Cube, cuboid and cylinder
     • Cone, sphere and hemisphere
4. 4

   Modern Maths & Number Theory

   5 topics

   • Number System and Divisibility
     • HCF and LCM
     • Factors, remainders and unit-digit
   • Permutations and Combinations
   • Probability
   • Set Theory and Venn Diagrams
   • Clocks and Calendars

Quantitative Aptitude flashcards for MH CET MBA

21 of 52 cards from the Quantitative Aptitude deck — real questions with worked answers.

1. How do you convert a fraction or decimal into a percentage, and what is 5/8 as a percentage?

   Multiply by 100. 5/8 = 0.625 x 100 = 62.5%.

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

   A net decrease of (x^2/100)%. For example, +20% then -20% gives a net change of -4%.

3. Successive percentage changes of a% and b% are equivalent to a single change of what?

   A single change of (a + b + ab/100)%, with signs accounted for (use negative for decreases).

4. In Ratio and Proportion, if a:b = c:d (a proportion), what relation holds between the terms?

   The product of the extremes equals the product of the means: a x d = b x c (cross-multiplication).

5. If a sum is divided in the ratio 2:3:5, what fraction does the largest share represent of the total?

   5/(2+3+5) = 5/10 = 1/2 of the total.

6. In a simple partnership where capitals are invested for the same time, how is profit shared?

   Profit is shared in the ratio of the capitals invested.

7. In a partnership with different investment periods, how is profit divided?

   In the ratio of each partner's (capital x time), i.e., the ratio of their monthly/equivalent capital products.

8. What is the formula for Profit percent and Loss percent, and on what base?

   Profit% = (Profit/Cost Price) x 100 and Loss% = (Loss/Cost Price) x 100; both are always calculated on the Cost Price.

9. How is Discount defined and on which price is it calculated?

   Discount = Marked Price - Selling Price, and Discount% = (Discount/Marked Price) x 100; it is always calculated on the Marked Price.

10. A shopkeeper marks goods 40% above cost and gives a 25% discount. What is the profit percent?

    SP = 1.40 x 0.75 = 1.05 of CP, so profit = 5%.

11. What is the Simple Interest formula?

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

12. What is the Compound Interest amount formula for annual compounding?

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

13. For 2 years, by how much does Compound Interest exceed Simple Interest on the same principal and rate?

    CI - SI = P x (R/100)^2 for 2 years (this difference equals interest on the first year's interest).

14. How is the compound interest amount adjusted for half-yearly compounding at rate R% per annum for T years?

    A = P(1 + R/200)^(2T): rate is halved and the number of periods is doubled.

15. What is the basic relationship between Distance, Speed and Time?

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

16. How do you convert a speed from 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.

17. What is the average speed for a journey covering equal distances at speeds x and y?

    Average speed = 2xy/(x+y), the harmonic mean of the two speeds.

18. How long does a train of length L moving at speed v take to cross a platform of length P?

    Time = (L + P)/v, since the train must cover its own length plus the platform length.

19. If A can do a work in 'a' days and B in 'b' days, how long do they take working together?

    Together time = ab/(a+b) days; combined one-day work = 1/a + 1/b.

20. State the work equivalence (man-days) formula relating two work scenarios.

    (M1 x D1 x H1)/W1 = (M2 x D2 x H2)/W2, where M=men, D=days, H=hours/day, W=work done.

21. In a leaking cistern, if an inlet fills in x hours and a leak empties in y hours (y>x), what is the net fill time?

    Net rate = 1/x - 1/y, so net time to fill = xy/(y-x) hours.

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