CAT 2025 Slot 3 · DILR · Question 14
CAT 2025 Slot 3 previous year question on Caselet Based DI, with the answer and a step-by-step solution.
Set 4: Trade Among Pumpland, Xiland and Cheeseland — this question belongs to a set. Read the full set with all 5 questions →
Three countries — Pumpland (P), Xiland (X) and Cheeseland (C) — trade among themselves and with the (other countries in) Rest of World (ROW). All trade volumes are given in IC (international currency). The following terminology is used:
• Trade balance = Exports - Imports
• Total trade = Exports + Imports
• Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
The following information is known.
1. The normalized trade balances of P, X and C are 0%, 10%, and -20%, respectively.
2. 40% of exports of X are to P. 22% of imports of P are from X.
3. 90% of exports of C are to P; 4% are to ROW.
4. 12% of exports of ROW are to X, 40% are to P.
5. The export volumes of P, in IC, to X and C are 600 and 1200, respectively. P is the only country that exports to C.
How much is exported from C to X, in IC?
Answer & solution
Answer: 48
P is the only exporter to C, so C's imports = 1200.
C's normalized balance is −20%: (E − I) ÷ (E + I) = −0.2, so E − 1200 = −0.2(E + 1200), giving 1.2E = 960 and E = 800.
C exports 90% to P (720) and 4% to ROW (32), so the remaining 6% goes to X: 6% of 800 = 48.
Shortcut: a normalized balance of −20% means exports : imports = 0.8 : 1.2 = 2 : 3, so exports = 1200 × 2/3 = 800.
Hence, the answer is 48.
More Caselet Based DI questions
- Q18What is the PI of Whimshire?CAT 2025 Slot 2 · DILR · Caselet Based DI
- Q19What is the PI of Fogglia?CAT 2025 Slot 2 · DILR · Caselet Based DI
- Q20What is the PI of Humbleset?CAT 2025 Slot 2 · DILR · Caselet Based DI
- Q21Which pair of cities definitely belong to the same state?CAT 2025 Slot 2 · DILR · Caselet Based DI
- Q22For how many of the cities and NURs is it possible to identify their PM and the state they belong to?CAT 2025 Slot 2 · DILR · Caselet Based DI
- Q15How much is exported from P to ROW, in IC?CAT 2025 Slot 3 · DILR · Caselet Based DI
Take this paper as a timed test
Real exam timing, instant score, rank and topic-wise analysis.