Title: CAT 2022 QA Slot 2: Indian Game Answers
Question: Which Indian game is known as the "National Game of India"?
Answer: Kabaddi
Question: In which state is the famous Indian game of Volleyball played?
Answer: Kerala
Question: Which Indian game is known for its use of a wooden bat and a ball?
Answer: Cricket
Question: What is the Indian game that involves hitting a ball with a bat and running between two sets of wickets?
Answer: Cricket
Question: Which Indian game is played with a wooden stick and a leather ball?
Answer: Hockey
Question: What is the Indian game that involves hitting a small ball with a bat and trying to score goals?
Answer: Cricket
Question: In which Indian game is a small ball hit with a bat and thrown to a catcher?
Answer: Cricket
Question: Which Indian game is played with a stick and a ball, and involves hitting the ball over a high net?
Answer: Badminton
Question: What is the Indian game that involves hitting a ball with a bat and trying to score runs?
Answer: Cricket
Question: In which Indian game do players use a long bamboo stick and a ball to hit and catch the ball?
Answer: Cricket
Question: What is the Indian game that involves hitting a ball with a bat and trying to score goals?
Answer: Cricket
Question: Which Indian game is played with a stick and a ball, and involves hitting the ball over a high net?
Answer: Badminton
Question: What is the Indian game that involves hitting a small ball with a bat and running between two sets of wickets?
Answer: Cricket
Question: In which Indian game do players use a wooden bat and a ball to hit and catch the ball?
Answer: Cricket
Question: Which Indian game is known for its use of a wooden stick and a ball?
Answer: Cricket
Here’s a structured answer to the query "CAT 2022 QA Slot 2" with solutions for common quantitative aptitude (QA) questions typically seen in the Indian Institute of Management (IIM) Common Admission Test (CAT). This answer assumes the request is for sample QA problem-solving guidance, as specific 2022 slot details are not publicly available.
CAT 2022 QA Slot 2: Sample Question & Solution
Question 1: Data Interpretation (DI)
A bar graph shows the percentage distribution of students in three streams (Engineering, Management, Science) across five years (2018–2022). The total number of students in 2022 is 12,000.
Question: If the number of Science students in 2022 is 20% more than in 2018, and the ratio of Engineering to Management students in 2022 is 3:2, find the number of Engineering students in 2022.
Solution:
Total students in 2022: 12,000
Science students in 2022: Let 2018 Science students = ( x ).
2022 Science students = ( 1.2x ).
Stream ratio (2022): Engineering:Management = 3:2.
Let Engineering = ( 3k ), Management = ( 2k ), Science = ( 1.2x ).
Total: ( 3k + 2k + 1.2x = 12,000 ).
From the bar graph (hypothetical data):
2022 Science% = 30% → ( 1.2x = 0.3 \times 12,000 = 3,600 ).
Solve for ( x ): ( x = 3,600 / 1.2 = 3,000 ).
Total Engineering + Management = ( 12,000 - 3,600 = 8,400 ).
( 3k + 2k = 8,400 ) → ( 5k = 8,400 ) → ( k = 1,680 ).
Engineering students in 2022: ( 3k = 3 \times 1,680 = \boxed{5,040} ).
Question 2: Algebra (Quadratic Equations)
If ( \frac{3}{x-2} + \frac{4}{y+3} = 2 ) and ( x + y = 10 ), find ( x^2 + y^2 ).
Solution:
Let ( x + y = 10 ) → ( y = 10 - x ).
Substitute ( y ) into the first equation:
( \frac{3}{x-2} + \frac{4}{(10 - x) + 3} = 2 ).
Simplify denominator: ( \frac{3}{x-2} + \frac{4}{13 - x} = 2 ).
Multiply both sides by ( (x-2)(13-x) ):
( 3(13 - x) + 4(x - 2) = 2(x-2)(13 - x) ).
Expand:
( 39 - 3x + 4x - 8 = 2(-x^2 + 15x - 26) ).
Simplify LHS: ( 31 + x = -2x^2 + 30x - 52 ).
Rearrange: ( 2x^2 - 29x + 83 = 0 ).
Solve using quadratic formula:
( x = \frac{29 \pm \sqrt{841 - 664}}{4} = \frac{29 \pm 15}{4} ).
Solutions: ( x = 11 ) or ( x = 3.5 ).
Corresponding ( y ): ( y = -1 ) or ( y = 6.5 ).
( x^2 + y^2 = 11^2 + (-1)^2 = 121 + 1 = \boxed{122} ) or ( 3.5^2 + 6.5^2 = 12.25 + 42.25 = \boxed{54.5} ).
Note: Check for valid denominators in original equation (e.g., ( x \neq 2 )). Both solutions are valid.
Question 3: Logical Reasoning (Number Series)
Identify the next number in the series:
7, 13, 25, 49, 97, ?
Solution:
Observe the differences:
( 13 - 7 = 6 ), ( 25 - 13 = 12 ), ( 49 - 25 = 24 ), ( 97 - 49 = 48 ).
The differences double each time: ( 6, 12, 24, 48 ).
Next difference: ( 48 \times 2 = 96 ).
Next term: ( 97 + 96 = \boxed{193} ).
Key Tips for CAT QA
Practice DI/AR (Data Interpretation & Analysis): Focus on speed and accuracy with charts, tables, and caselets.
Algebra & Functions: Master quadratic equations, sequences, and inequalities.
Geometry: Review circles, triangles, and coordinate geometry.
Time Management: Prioritize questions with higher marks (e.g., avoid lengthy calculations).
For official CAT 2022 resources, refer to the IIM CAT website. Let me know if you need further clarification!
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