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cat 2021 qa slot 3

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Title: CAT 2021 QA Slot 3: Indian Game Answers


Question: Which Indian game is played with a long, flexible tube filled with air, called a "pungi," and a ball made of wood or gourd?


Answer: Kancha


Question: In the Indian game of Kancha, how many players are usually on each team?


Answer: 2


Question: What is the name of the Indian game that involves hitting a small, solid ball with a long stick, typically played on a grassy field?


Answer: Kho Kho


Question: In Kho Kho, what is the term for the player who is trying to tag out the others?


Answer: Seeker


Question: What is the Indian game that is similar to baseball, where players hit a ball with a bat and try to run around four bases?


Answer: Cricket


Question: In Cricket, which of the following is the term for the player who bowls the ball to the batsman?


Answer: Bowler


Question: What is the Indian game that involves a board, dice, and marbles, and is a popular indoor game?


Answer: Carrom


Question: In Carrom, how many points does a player score for hitting the coin with the coin on the board?


Answer: 5 points


Question: What is the Indian game that is played with a long, flexible stick and a small ball, where the objective is to hit the ball against a wall?


Answer: Ludo


Question: In Ludo, what is the term for the square where a player must land after moving from the starting square?


Answer: Home square


Question: What is the Indian game that is played with a set of small, wooden blocks called "moksha" and a board with a grid of squares?


Answer: Chinese Chess (or Xiangqi)


Question: In Chinese Chess, what is the term for the piece that can move in any direction but can only capture diagonally?


Answer: Horse (or Jiao)


Question: What is the Indian game that involves a large, circular disc called a "thol" and a mallet, where the objective is to hit the disc through a series of hoops?


Answer: Thol


Question: In Thol, how many hoops are there in total?


Answer: 7


Question: What is the Indian game that is played with a set of four to six players, using a board with a grid of circles and small wooden pieces called "chessmen"?


Answer: Pachisi


Question: In Pachisi, what is the name of the square that allows a player to move directly to the home circle?


Answer: Chausar


Question: What is the Indian game that is played with a large wooden board, a set of 16 dice, and a small ball, where the objective is to roll the dice to move the ball to the finish line?


Answer: Ludo


Question: In Ludo, how many dice are rolled at the beginning of each turn?


Answer: 2 dice


Question: What is the Indian game that involves a board with a grid of squares and a set of four dice, where the objective is to move all of your pieces from the starting square to the finish line?


Answer: Ludo


Question: In Ludo, what is the term for the square that represents the starting point for each player?


Answer: Home square


Title: CAT 2021 QA Slot 3: Solutions & Strategies for Indian MBA aspirants


Here’s a structured breakdown of potential questions from CAT 2021 QA Slot 3 (Quantitative Ability), focusing on common Indian MBA exam patterns. While specific questions aren’t publicly listed, this guide covers high-probability topics and strategies for similar problems.



1. Data Interpretation (DI) or Caselet Analysis


Example Question (Hypothetical):

“A company produces three products (X, Y, Z) in two factories (A, B). The following table shows monthly production (in units) and profit margins (in %):

| Product | Factory A | Factory B |

|---------|-----------|-----------|

| X       | 2000      | 3000      |

| Y       | 1500      | 2500      |

| Z       | 1000      | 4000      |

Profit margins: X=8%, Y=12%, Z=5%. Factory A has a fixed cost of ₹50,000/month, while Factory B has a variable cost of ₹10 per unit. Calculate the total profit for both factories in Q3 2021.”


Solution:



Calculate Total Production per Factory:


Factory A: (2000 + 1500 + 1000 = 4500) units
Factory B: (3000 + 2500 + 4000 = 9500) units



Compute Profit for Each Product:



Factory A:


X: (2000 \times 8% = ₹160,000)
Y: (1500 \times 12% = ₹180,000)
Z: (1000 \times 5% = ₹50,000)
Total Profit (A): (160,000 + 180,000 + 50,000 = ₹390,000)
Net Profit (A): (₹390,000 - ₹50,000 = ₹340,000)



Factory B:


X: (3000 \times 8% = ₹240,000)
Y: (2500 \times 12% = ₹300,000)
Z: (4000 \times 5% = ₹200,000)
Total Profit (B): (240,000 + 300,000 + 200,000 = ₹740,000)
Variable Cost (B): (9500 \times ₹10 = ₹95,000)
Net Profit (B): (₹740,000 - ₹95,000 = ₹645,000)





Q3 Total Profit: (₹340,000 + ₹645,000 = ₹1,285,000)




Key Takeaway:




Master weighted averages and cost-profit analysis for caselets.
Always subtract fixed/variable costs from total revenue.



2. Algebra (Quadratic Equations or Inequalities)


Example Question (Hypothetical):

“If (x^2 - 5x + 6 = 0) and (y^2 - 7y + 10 = 0), find the number of distinct pairs ((x, y)) such that (x + y > 10).”


Solution:



Solve Equations:


(x^2 - 5x + 6 = 0 \Rightarrow x = 2, 3)
(y^2 - 7y + 10 = 0 \Rightarrow y = 2, 5)



List All Pairs and Check (x + y > 10):


(2, 2): (4 \rightarrow \text{No})
(2, 5): (7 \rightarrow \text{No})
(3, 2): (5 \rightarrow \text{No})
(3, 5): (8 \rightarrow \text{No})
Answer: No valid pairs.




Key Takeaway:


Solve equations first, then systematically test pairs.
Avoid time-consuming calculations by precomputing sums.



3. Geometry (Perimeter/Area or Coordinate Geometry)


Example Question (Hypothetical):

“A rectangular park has length 30m and width 20m. A path of 2m width runs around the park. Find the area of the path.”


Solution:



Calculate Outer Dimensions (Including Path):


New Length: (30 + 2 \times 2 = 34m)
New Width: (20 + 2 \times 2 = 24m)



Area of Path:


Total Area (Including Path): (34 \times 24 = 816m^2)
Original Park Area: (30 \times 20 = 600m^2)
Path Area: (816 - 600 = 216m^2)




Key Takeaway:


Use area of difference for border/path problems.
Double-check units (meters vs. centimeters).



4. Probability


Example Question (Hypothetical):

“Two dice are rolled. What is the probability that the sum is 7 or the product is even?”


Solution:


Total Outcomes: (6 \times 6 = 36)
Favorable Outcomes:
Sum = 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 outcomes
Product Even: Exclude (odd, odd). Total odd-odd pairs = (3 \times 3 = 9).
Even product outcomes: (36 - 9 = 27)




Overlap (Sum=7 and Product Even):
From the 6 sum-7 pairs, exclude (1,6) and (6,1) (product odd).
Valid pairs: (2,5), (3,4), (4,3), (5,2) → 4 outcomes


Apply Inclusion-Exclusion:
Probability = (\frac{6 + 27 - 4}{36} = \frac{29}{36})




Key Takeaway:


Use complementary counting for "at least one" or "even/odd" problems.
Always check for overlaps to avoid double-counting.



5. Number Theory


Example Question (Hypothetical):

“Find the number of positive integers less than 100 that are divisible by 3 or 5.”


Solution:


Apply Inclusion-Exclusion Principle:
Divisible by 3: (\left\lfloor \frac{99}{3} \right\rfloor = 33)
Divisible by 5: (\left\lfloor \frac{99}{5} \right\rfloor = 19)
Divisible by 15 (overlap): (\left\lfloor \frac{99}{15} \right\rfloor = 6)
Total = (33 + 19 - 6 = 46)




Key Takeaway:


Remember to subtract overlaps for "or" conditions.



Final Tips for CAT QA Slot 3


Time Management: Allocate 20-25 minutes to DI and 15-20 minutes to Algebra/Probability.
Negative Marking: Avoid guesswork; eliminate options strategically.
Practice Previous Year papers: Focus on patterns (e.g., 2021 had heavy DI weightage).


Let me know if you need further clarification on specific questions! 🚀
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