India · Indian Institutes of Management (CAT 2025 convened by IIM Kozhikode) · pg · secondary source
CBT on 30 Nov 2025 in 3 sessions, 120 minutes, 40 minutes per section with no switching, about 170 cities.
Checked against a secondary source (coaching or news site), not the conducting body; re-confirm before relying on it. Date, duration and sectional timing are from the official press release; question counts and marking are secondary. 2015-16: 180 minutes, 100 questions (secondary). 2020: cut to 120 minutes, sectional time 60 to 40 minutes (news report). 2021-23: 66 questions; 2024-25: 68 (secondary). Used by MANAGE, CCS NIAM, IIM Ahmedabad FABM and IIM Lucknow ABM, and for IRMA shortlisting.
Official source: https://cdn.digialm.com/per/g06/pub/32842/EForms/image/CAT2025/CAT_2025_Press_Release.pdf
Original questions written to this exam's published syllabus and pattern. Not past papers.
1. A trader spends exactly 10,000 rupees buying onions at 20 rupees per kg in one market and another 10,000 rupees buying at 25 rupees per kg in a second market. What is the average price paid per kg?
D. 22.22 rupees
Equal money, different prices: use the harmonic mean. Quantities bought are 500 kg and 400 kg; 20,000 / 900 = 22.22, which equals 2 / (1/20 + 1/25). The arithmetic mean 22.50 would be right only if equal quantities were bought; 22.36 is the geometric mean. 11.11 divides only one market's 10,000 by the total 900 kg.
Business Statistics & Quantitative Methods · Measures of central tendency
2. An FPO's board has 8 directors. Using the formula for the number of possible two-way communication channels among n people, how many channels exist on the board?
C. 28
Channels = n(n - 1)/2 = 8 x 7 / 2 = 28. 56 forgets to divide by two, so it counts each pair twice (A to B and B to A); 16 doubles the headcount instead; 64 is n squared, which also counts each person paired with themselves.
Business Communication · The communication process and its barriers
3. Demand for a vegetable is Q = 100 - 2P. What is the point price elasticity of demand at P = 20?
A. -0.67
At P = 20, Q = 60. Elasticity = (dQ/dP)(P/Q) = -2 x 20/60 = -0.67 (inelastic). -2.00 is the slope alone; -0.40 uses P/Q = 20/100 with the intercept in place of Q. -1.50 is the reciprocal, (dP/dQ)(Q/P) = -0.5 x 3.
Business Statistics & Quantitative Methods · Mathematics for economics: differentiation and optimisation
4. A sales letter for a new drip-irrigation kit opens with a question about water bills, describes how the kit works, shows a farmer's saving, and ends with a coupon for a free site visit. It follows the
C. AIDA sequence
AIDA is attention (the opening question), interest (how it works), desire (the saving) and action (the coupon). The 7 Cs are qualities of any message, SQ3R is a reading method and IMRaD is the structure of research papers.
Business Communication · Business letters and e-mail
5. In Fisher and Ury's principled negotiation, a dairy cooperative and a buyer agree to use the published fat-and-solids-not-fat price formula to settle the milk price. This applies the principle of
B. insisting on objective criteria
Using an independent standard such as a published price formula is 'insist on objective criteria'. Separating people from the problem deals with relationships and emotions; inventing options generates alternatives. 'Focus on positions' reverses the actual principle, which is to focus on interests, not positions.
Business Communication · Meetings
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