UPHESC Assistant Professor Commerce 2025, 2026 PYQs

Concept: Skimming = 'skim the cream' of the market with a high introductory price, then reduce price to reach more price-sensitive segments.

1. Penetration pricing is the opposite – low initial price to capture market share.
2. Peak-load pricing charges more at times of peak demand (electricity, transport).
3. Cost-plus adds a mark-up to cost.

Short trick: Skimming = High → Low (new gadgets); Penetration = Low start.

Concept: At BEP, Total revenue = Total cost, so profit = 0.

1. Profit = Contribution − Fixed cost; at BEP profit = 0, so Contribution = Fixed cost.
2. Contribution < Fixed cost means a loss – that is a point below BEP.

Short trick: C = F → BEP; C > F → profit; C < F → loss.

Concept: Optimal capital structure is the debt–equity mix that minimises the overall cost of capital (WACC) and maximises firm value.

1. WACC depends on cost of debt, cost of equity and the tax rate (interest is tax-deductible: $K_d(1-t)$).
2. Current ratio is a short-term liquidity measure for working capital; it does not decide the long-term debt–equity mix.

Short trick: Capital structure = long-term funds; current ratio = short-term liquidity.

Concept: Working capital = Current assets − Current liabilities.

1. Inventory and receivables are current assets.
2. Payables are current liabilities – also part of net working capital.
3. Plant and equipment are fixed (non-current) assets.

Short trick: Anything that turns over within a year = working capital; plant lasts years = fixed capital.

Concept: Financial leverage arises from fixed interest charges; it links EBIT with EPS/EBT.

1. Degree of financial leverage = EBIT ÷ EBT, i.e. EBIT ÷ (EBIT − Interest).
2. Operating leverage = Contribution ÷ EBIT; Combined leverage = Contribution ÷ EBT.

Short trick: OL: C/EBIT → FL: EBIT/EBT → CL: C/EBT (each denominator becomes next numerator).

Concept: Earnings-price approach: $K_e=\frac{EPS}{MPS}\times 100$.

1. $K_e=\frac{1.5}{15}\times 100=10\mathrm{\%}$.

Short trick: Cost of equity (E/P) = inverse of P/E ratio: P/E = 10 → Ke = 10%.

Concept: Operating leverage arises from fixed operating costs; it shows how a change in sales affects EBIT.

1. DOL = % change in EBIT ÷ % change in sales = Contribution ÷ EBIT.
2. Sales and EBT together are linked by combined leverage; EBIT and EBT by financial leverage.

Short trick: Operating = Sales → EBIT; Financial = EBIT → EBT/EPS; Combined = Sales → EPS.

Concept: An ideal (optimum) capital structure is the mix of debt and equity at which the overall cost of capital is lowest and the return/value for shareholders (EPS, market value) is highest.

1. Minimum cost of capital alone is one side; maximum profitability for owners is the other side – they occur together at the optimum.
2. Maximum cost can never be ideal, so (C) is wrong.

Short trick: Optimum = Minimum WACC + Maximum value/EPS.

Concept: CLT: for a sufficiently large sample of independent observations from ANY population with a finite mean and finite variance, the sampling distribution of the mean is approximately normal.

1. What the CLT needs: independent (random) samples, a large enough n (rule of thumb n ≥ 30), and a population with a finite variance ${\sigma }^2$.
2. (B) 'Population is normally distributed' is NOT an assumption – the whole point of the CLT is that it works for non-normal populations.
3. (D) 'The population variance is known' is also NOT an assumption – the variance must exist (be finite), not be known; knowing $\sigma$ matters only for using a z-test/interval, not for the theorem.
4. Two options, (B) and (D), are therefore 'not an assumption' → no single answer; the question is treated as a bonus.

Short trick: CLT = independent + large n + finite variance. Not needed: normal population, known variance.

Concept: Mode is defined as the value around which the items are most densely concentrated (point of maximum density / frequency).

1. In a continuous series the modal class is the class of highest frequency density (frequency per unit class-width), especially with unequal class intervals.
2. Mode is then located by interpolation $Z=L_1+\frac{f_1-f_0}{2f_1-f_0-f_2}\times i$ – this density approach is used for mode, not for mean or median.

Short trick: Mode = 'most fashionable / most dense' value.

Concept: For a normal / moderately skewed distribution: QD = (2/3) SD and MD = (4/5) SD.

1. MD = 4/5 SD ⇒ SD = 5/4 MD.
2. Equivalently 6 QD = 5 MD = 4 SD.

Short trick: Remember '6 QD = 5 MD = 4 SD'.

Concept: Match each term with its meaning.

1. Universe = the whole group under study = Population (II).
2. Data = facts/figures = Information (IV).
3. Mean = arithmetic Average (I).
4. Mode = value with Maximum frequency (III).

Short trick: Mode = 'most' → Maximum.

Concept: Descriptive statistics summarises the data in hand; inferential statistics draws conclusions about a population from a sample.

1. (A) is true – collecting, presenting (tables, graphs), analysing (averages, dispersion) and interpreting the data.
2. (R) is true – inference rests on probability, sampling theory, estimation, testing and forecasting.
3. (R) describes a different branch, so it does not explain (A).

Short trick: Two branches, two separate true statements → option (B).

Concept: Karl Pearson's empirical relation for a moderately skewed distribution: Mode = 3 Median − 2 Mean.

1. Only (b) is correct.
2. (a), (c) and (d) are wrong – the question asks for the wrong ones → a, c, d.

Short trick: Mode = 3 Me − 2 M (the '3' always goes with the median).

Concept: Algebraic sum of deviations from the arithmetic mean is always zero.

1. $\sum (x-\overline{x})=\sum x-n\overline{x}=n\overline{x}-n\overline{x}=0$.
2. Related property: the sum of SQUARED deviations is minimum when taken from the mean.

Short trick: Mean is the 'balancing point' – plus and minus deviations cancel.

Concept: P(E) = favourable cases ÷ total equally likely cases.

1. A pack has 4 kings out of 52 cards.
2. P(King) = 4/52 = 1/13.

Short trick: Any one rank (ace, king, …) = 4/52 = 1/13; any one suit = 13/52 = 1/4.

Concept: Karl Pearson's product-moment coefficient of correlation, $r=\frac{\sum xy}{\sqrt{\sum x^2\sum y^2}}$, was formally developed in his 1896 paper ('Regression, Heredity and Panmixia').

1. Pearson built on Galton's work on correlation and regression (1880s).
2. 1896 is none of 1890, 1980 or 1900, so 'None of these'.
3. (1900 is the year of Pearson's chi-square test, a different method.)

Short trick: Pearson: r → 1896; χ² → 1900.

Concept: Each off-the-job method develops a different skill.

1. Case study – trainees analyse a real business problem, identify issues, evaluate alternatives and recommend solutions → analytical and problem-solving/decision-making ability.
2. Role playing – human-relations and interpersonal skills.
3. Laboratory (sensitivity/T-group) training – self-awareness and group behaviour.
4. Conference – exchange of ideas, participation.

Short trick: Case = problem to solve; Role-play = people skills; T-group = sensitivity.

Concept: American Accounting Association: HRA is 'the process of identifying and measuring data about human resources and communicating this information to interested parties'.

1. It measures both the cost (recruitment, training) and the value (Lev & Schwartz, Flamholtz models) of employees.
2. HR audit reviews HR policies and practices; social accounting reports social costs/benefits.

Short trick: Cost + value of people = HRA (Rensis Likert, R. G. Barry Corporation 1967).

Concept: Theories of personality are presented in the order in which they developed.

1. Psychoanalytic theory – Sigmund Freud (around 1900).
2. Trait theories – Allport (1930s), Cattell (1940s).
3. Self-concept (self) theory – Carl Rogers (1950s).
4. Socialisation / social learning theory – later (Bandura, 1960s–70s).

Short trick: Freud → Allport → Rogers → Socialisation = I, III, II, IV.