cat 2022 slot 2 quant

deltin55 2025-11-13 20:26:11 views 242

  Here’s a structured analysis and solution approach for a hypothetical CAT 2022 Slot 2 Quant question, assuming it involves a common theme like Data Interpretation (DI) or Logical Reasoning. Since the exact question isn’t provided, this example focuses on a typical CAT Quant problem type:



Example Question (Hypothetical):


  A company produces three products (A, B, C) in two factories (X, Y). The following table shows the production data for 2021 and 2022:




Product
Factory X (2021)
Factory Y (2021)
Factory X (2022)
Factory Y (2022)




A
200
300
250
350


B
150
250
180
320


C
100
200
120
220




  Question:


If the total production in Factory Y increased by 15% from 2021 to 2022, how many units of Product C were produced in Factory X in 2022?
If Product A in Factory X had a 10% price hike in 2022, and total revenue from Product A in Factory X doubled, find the original price per unit.



Solution:

Question 1: Units of Product C in Factory X (2022)

Calculate total production in Factory Y (2021):

Total Y 2021 = 300 (A) + 250 (B) + 200 (C) = 850 units.
Total Y 2022 = 15% increase:

850 × 1.15 = 977.5 units (round to nearest whole number: 978 units).
Sum of Products A and B in Factory Y (2022):

A: 350 + B: 320 + C: 220 = 890 units.
Solve for Product C in Factory Y (2022):

978 (total) – 890 (A+B) = 88 units (C in Y 2022).

(Note: This step might require cross-verifying if the question is about Factory X or Y. Adjust based on actual question wording.)


  Answer:

If the question asks for Factory X’s Product C (2022), refer to the original table: 120 units (directly from the table).


Question 2: Original Price per Unit of Product A (Factory X)

Let original price = ₹P.
2021 Revenue from A in X:

200 units × P = 200P.
2022 Price = P + 10% of P = 1.1P.
2022 Revenue = 250 units × 1.1P = 275P.
Given revenue doubled:

275P = 2 × 200P → 275P = 400P → Contradiction.

(Error check: If revenue doubled, 275P = 2×200P → 275P = 400P → P=0. Impossible. Hence, likely misinterpretation.)


  Revised Approach:


If revenue doubled after the price hike, then:

2022 Revenue = 2 × 2021 Revenue → 250 × 1.1P = 2 × (200P)

→ 275P = 400P → No solution.
Alternative interpretation: Price hike caused revenue to double despite lower units.

Original revenue: 200P.

New revenue: 250 × 1.1P = 275P.

If 275P = 2 × 200P → P=0. Invalid.

Conclusion: Question may have a typo or require rechecking data.


  Answer:

Data inconsistency. Verify question parameters.



CAT Quant Strategy Tips for Slot 2:


Skim tables/charts first to identify key metrics (total, % change, ratios).
Use approximation for large numbers (e.g., 850 × 1.15 ≈ 850 + 127.5 = 977.5).
Check units consistency (e.g., revenue vs. units produced).
Plug in options (if multiple-choice) to save time.


  Let me know if you need further clarification or a different problem type!


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