UPHESC Assistant Professor Commerce 2025, 2026 PYQs

Concept: Spearman's rank correlation: $R=1-\frac{6\sum D^2}{N(N^2-1)}$.

1. Here $\sum D^2=6$, $N=8$, so $N(N^2-1)=8\times 63=504$.
2. $R=1-\frac{6\times 6}{504}=1-\frac{36}{504}=1-0.0714=0.9286$.
3. Rounded, $R\approx 0.93$.

Short trick: For N = 8 the denominator is always 504; just compute 1 − 6ΣD²/504.

Concept: Each trade theory explains trade by a different source of advantage.

1. Ricardo (comparative cost) – differences in labour productivity, i.e. technology → ii.
2. Heckscher-Ohlin – differences in factor endowments (labour/capital abundance) → i.
3. Product Life Cycle (Vernon) – new product, maturity, standardisation stages → iii.
4. New Trade Theory (Krugman) – economies of scale and imperfect competition → iv.

Short trick: Ricardo = Technology, H-O = Factors, Vernon = Life-cycle, Krugman = Scale.

Concept: When AR is constant (perfect competition, horizontal demand curve), each extra unit adds exactly the price to total revenue.

1. TR = P × Q with P fixed, so MR = ΔTR/ΔQ = P.
2. AR = TR/Q = P as well, hence MR = AR at every level.
3. MR < AR only when AR is falling (downward sloping demand).

Short trick: Flat AR line ⇒ MR line lies on it: AR = MR = Price.

Concept: Margin of Safety = Actual (or budgeted) sales − Break-even sales.

1. It shows how far sales can fall before the firm starts making a loss.
2. Also MoS = Profit ÷ P/V ratio.
3. Contribution − Profit = Fixed cost, not MoS; total cost > sales is a loss.

Short trick: MoS = Sales above BEP – the 'cushion' before loss.

Concept: CAPM (Sharpe–Lintner) rests on assumptions of perfect, frictionless capital markets.

1. Investors are risk-averse expected-utility maximisers – a CAPM assumption.
2. Markets are competitive (no investor can affect prices) and in equilibrium – assumptions.
3. CAPM assumes investors can borrow and lend unlimited amounts at the risk-free rate – 'within limits' contradicts it.

Short trick: CAPM = unlimited borrowing/lending at R_f; any 'limit' is wrong.

Concept: The selling concept holds that consumers will not buy enough unless the firm undertakes aggressive selling and promotion.

1. Product concept – focus on quality/features of the product.
2. Marketing concept – find customer needs and satisfy them better than rivals.
3. Societal marketing – customer satisfaction plus long-run welfare of society.

Short trick: Selling = 'push' what we make; Marketing = make what customers want.

Concept: Span of control (span of management) is the number of subordinates a superior can effectively supervise directly.

1. It is about people reporting, not departments.
2. Delegated authority is 'delegation'; length of hierarchy is 'scalar chain / levels'.
3. Wide span → flat organisation; narrow span → tall organisation (Graicunas' formula).

Short trick: Span = how many report to ONE boss.

Concept: MM = irrelevance; Walter and Gordon = relevance models.

1. I correct – MM (1961) say dividend policy does not affect value in perfect markets.
2. II wrong – Walter assumes all investment is financed only by retained earnings (no external finance); earnings are either retained or paid out.
3. III correct – Gordon's 'bird-in-hand' growth model treats dividends as relevant.

Short trick: M-M = 'Meaningless'; Walter & Gordon = 'Worthy' (relevance).

Concept: The Consumer Protection (Jurisdiction of the District, State and National Commissions) Rules, 2021 revised the pecuniary limits.

1. District Commission – up to ₹50 lakh (originally ₹1 crore under the Act).
2. State Commission – above ₹50 lakh up to ₹2 crore.
3. National Commission – above ₹2 crore.

Short trick: 50 L – 2 Cr – above: District – State – National.

Concept: Political risk is macro when government action hits all foreign firms, and micro when it hits only a particular industry, firm or project.

1. The emission norms and taxes are specific to the automobile sector.
2. So the government action affects a selected industry → micro political risk.
3. Macro examples: expropriation of all foreign assets, coup, nationwide currency controls.

Short trick: Whole country = Macro; one sector/firm = Micro.

Concept: French and Raven (1959): legitimate, reward, coercive, expert and referent power (information added later).

1. Influence from trusted technical knowledge = expert power.
2. Influence by promising bonuses/incentives = reward power.
3. Legitimate = formal position; coercive = threat of punishment; referent = personal liking/identification.

Short trick: Knows more → Expert; Gives more → Reward.

Concept: The WTO (1 January 1995) emerged from the Uruguay Round of GATT (1986–94), whose final text was based on the Dunkel Draft (1991) of GATT DG Arthur Dunkel.

1. The Dunkel Draft's acceptance led to the Marrakesh Agreement (April 1994) creating the WTO.
2. Kennedy (1964–67) and Tokyo (1973–79) Rounds were earlier GATT rounds.
3. Doha Declaration (2001) launched the first round after WTO was formed.

Short trick: Dunkel → Uruguay → Marrakesh → WTO.

Concept: r lies between −1 and +1; its sign gives direction and its size gives degree.

1. +0.65 is positive → variables move in the same direction.
2. Usual scale: 0.25–0.75 moderate, above 0.75 high, exactly 1 perfect.
3. So +0.65 = moderate positive correlation; 0 would be no correlation.

Short trick: Sign = direction, size = strength; ±1 only is 'perfect'.

Concept: AIDA (E. St. Elmo Lewis) is a hierarchy-of-effects model of advertising and personal selling.

1. A – Attention: capture the buyer's notice.
2. I – Interest: create interest in the product.
3. D – Desire: convert interest into a wish to own; A – Action: purchase.

Short trick: Attention → Interest → Desire → Action ('A-I-D-A').

Concept: Push strategy pushes the product through the channel (trade promotion, personal selling); pull strategy builds consumer demand (advertising) so that consumers ask for the brand.

1. Push suits low brand loyalty, impulse goods and choice made in the store; high brand loyalty favours pull. So (A) is false.
2. Retailers willingly stock and promote brands that consumers already demand – this is how pull works, so (R) is true.
3. Hence (A) false, (R) true.

Short trick: Loyal customers PULL the brand; weak loyalty needs a PUSH.

Concept: Financing activities change the size and composition of owners' capital and borrowings.

1. Issue of equity shares for cash → financing inflow.
2. Sale of investments and purchase of machinery → investing activities.
3. Payment of salaries → operating activity.

Short trick: Owners & lenders = Financing; long-term assets = Investing; day-to-day = Operating.

Concept: Section 53 of the Companies Act, 2013 prohibits a company from issuing shares at a discount, except sweat equity shares under Section 54.

1. Section 52 – application of securities premium.
2. Section 54 – issue of sweat equity shares.
3. Section 55 – issue and redemption of preference shares.

Short trick: 52 Premium, 53 Discount (banned), 54 Sweat, 55 Preference.

Concept: Tax planning uses deductions in the spirit of the law; tax avoidance arranges affairs (often legally on paper) to defeat the intent of the law; evasion is illegal suppression or false claims.

1. (B) Selling to the related foreign parent at half the arm's-length price shifts profit out of India – a classic avoidance device, which is why transfer pricing rules (Sec. 92–92F) exist.
2. (C) Tax-saver FD and (D) LIC premium for a child are deductions intended by Section 80C → tax planning.
3. (A) Charging a personal-use car to the business is a wrong claim of expense – closer to evasion/disallowance than to avoidance.

Short trick: Related-party under-pricing = avoidance; 80C claims = planning.

Concept: Total = mean × number; adjust the total and the count, then divide.

1. Original total = 10 × 58 = 580.
2. New total = 580 + 62 − 30 − 29 = 583; students = 10 + 1 − 2 = 9.
3. New mean = 583 ÷ 9 = 64.78.

Short trick: Always work with totals, never with averages directly.

Concept: Basel accords (BCBS, BIS) set international capital standards for banks.

1. I correct – Basel I (1988) introduced minimum capital adequacy of 8% of risk-weighted assets.
2. II correct – Basel III (2010) added a 2.5% capital conservation buffer, countercyclical buffer, LCR, NSFR, leverage ratio.
3. III wrong – in India they apply mainly to scheduled commercial banks, not only cooperative banks.

Short trick: Basel I = CAR, II = 3 pillars, III = buffers + liquidity.