MH CET Law Basic Mathematics and Numerical Aptitude Syllabus

Basic Mathematics and Numerical Aptitude syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Basic Mathematics and Numerical Aptitude in MH CET Law, not a summary of it.

1. 1

   Arithmetic Fundamentals

   4 topics

   • Number System
     • Factors, multiples, HCF and LCM
     • Fractions, decimals and surds
   • Percentages
     • Percentage change and applications
   • Ratio, Proportion and Partnership
   • Average and Mixtures
2. 2

   Commercial Mathematics

   4 topics

   • Profit, Loss and Discount
   • Simple and Compound Interest
   • Time, Speed and Distance
   • Time and Work
     • Work efficiency
     • Pipes and cisterns
3. 3

   Data Interpretation

   3 topics

   • Tables and Charts
     • Bar graphs and line graphs
     • Pie charts
   • Caselet-Based Interpretation
   • Comparison and Calculation Techniques
4. 4

   Algebra, Geometry and Mensuration

   4 topics

   • Basic Algebra and Equations
   • Geometry Fundamentals
   • Mensuration of Areas and Volumes
   • Permutation, Combination and Probability

Basic Mathematics and Numerical Aptitude flashcards for MH CET Law

20 of 51 cards from the Basic Mathematics and Numerical Aptitude deck — real questions with worked answers.

1. What are natural numbers, whole numbers, and integers, and how do they differ?

   Natural numbers: counting numbers 1, 2, 3, ... Whole numbers: natural numbers plus 0 (0, 1, 2, ...). Integers: all whole numbers plus their negatives (..., -2, -1, 0, 1, 2, ...).

2. What is the divisibility rule for 3, 9, and 11?

   Divisible by 3 if the sum of digits is divisible by 3. Divisible by 9 if the sum of digits is divisible by 9. Divisible by 11 if the difference between the sum of digits in odd positions and even positions is 0 or a multiple of 11.

3. What is the relationship between HCF and LCM of two numbers?

   HCF x LCM = Product of the two numbers. So for numbers a and b: HCF(a,b) x LCM(a,b) = a x b.

4. How do you distinguish prime numbers from composite numbers?

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

5. What is the formula to convert a fraction or decimal into a percentage and vice versa?

   To convert a fraction/decimal to a percentage, multiply by 100. To convert a percentage to a fraction/decimal, divide by 100 (e.g., 0.45 = 45%; 25% = 25/100 = 1/4).

6. How do you calculate percentage increase and percentage decrease?

   Percentage change = (Change / Original value) x 100. Increase uses (New - Old); decrease uses (Old - New), expressed as a positive percent of the original.

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

   There is a net decrease of (x squared)/100 percent. For example, +20% then -20% gives a net change of -(20x20)/100 = -4%.

8. What is the successive percentage change formula for two changes of a% and b%?

   Net percentage change = a + b + (a x b)/100, where increases are positive and decreases are negative.

9. What is the difference between a ratio and a proportion?

   A ratio compares two quantities (a : b). A proportion is a statement that two ratios are equal (a : b = c : d), where the product of means equals the product of extremes: b x c = a x d.

10. If a : b = c : d, what is the cross-multiplication property of a proportion?

    The product of the extremes equals the product of the means: a x d = b x c.

11. In partnership, how is profit shared when partners invest different amounts for different time periods?

    Profit is shared in the ratio of (Capital x Time) for each partner. If investments are (C1 x T1) : (C2 x T2), profits are divided in that same ratio.

12. What is the formula for the average of n quantities?

    Average = (Sum of all observations) / (Number of observations). Conversely, Sum = Average x Number of observations.

13. What is the rule of alligation used for in mixtures?

    Alligation finds the ratio in which two ingredients at different prices/concentrations must be mixed to get a desired mean value. Ratio of cheaper to dearer = (Dearer price - Mean) : (Mean - Cheaper price).

14. What is the average speed when a journey is done in two equal distances at speeds x and y?

    Average speed = 2xy / (x + y), the harmonic mean of the two speeds (not the arithmetic mean).

15. What are the basic formulas for Cost Price, Selling Price, Profit, and Loss?

    Profit = SP - CP (when SP > CP). Loss = CP - SP (when CP > SP). Profit% = (Profit/CP) x 100; Loss% = (Loss/CP) x 100.

16. How do you find the Selling Price given Cost Price and profit/loss percentage?

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

17. What is discount, and how is the Selling Price related to the Marked Price?

    Discount is a reduction on the Marked Price (MP). Discount = MP - SP; Discount% = (Discount/MP) x 100. SP = MP x (100 - Discount%)/100.

18. What is the net effect of two successive discounts of a% and b%?

    Equivalent single discount = a + b - (a x b)/100. The final price is lower than applying one discount equal to their simple sum.

19. What is the formula for Simple Interest?

    Simple Interest (SI) = (Principal x Rate x Time) / 100, where rate is per annum and time is in years. Amount = Principal + SI.

20. What is the formula for Compound Interest and the final amount?

    Amount A = P x (1 + R/100)^n, where P = principal, R = rate per period, n = number of periods. Compound Interest = A - P.

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