Chapter 6: Information Processing — Online MCQ Test
MATHS · Samacheer Kalvi 6th · Tamil Nadu State Board
Practice Chapter 6: Information Processing with a free chapter-wise online MCQ test.
This chapter covers: Systematic listing, Tree diagrams, Counting principles, Data routing.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter 6: Information Processing — Important Questions & Answers
What is systematic listing in information processing?
- A. Arranging data in a random order
- B. Organizing information in a methodical and organized way to find all possibilities
- C. Listing only the important items
- D. Removing unwanted data from a list
Answer: B. Organizing information in a methodical and organized way to find all possibilities
Systematic listing is the process of organizing information methodically to ensure all possibilities are found without repetition or omission.
Systematic listing is the process of organizing information methodically to ensure all possibilities are found without repetition or omission.
Which diagram uses branches to show all possible outcomes of an event?
- A. Bar diagram
- B. Pie chart
- C. Tree diagram
- D. Line graph
Answer: C. Tree diagram
A tree diagram uses branches to systematically represent all possible outcomes of events, making it easy to count combinations.
A tree diagram uses branches to systematically represent all possible outcomes of events, making it easy to count combinations.
If you have 3 shirts and 2 pants, how many different combinations can you make?
- A. 5
- B. 6
- C. 3
- D. 2
Answer: B. 6
Using the counting principle: 3 shirts × 2 pants = 6 different combinations.
Using the counting principle: 3 shirts × 2 pants = 6 different combinations.
What is the fundamental counting principle?
- A. Adding the number of choices at each stage
- B. Multiplying the number of choices at each stage to find total combinations
- C. Subtracting the number of choices
- D. Dividing the total outcomes by the number of events
Answer: B. Multiplying the number of choices at each stage to find total combinations
The fundamental counting principle states that if there are m ways to do one thing and n ways to do another, there are m × n ways to do both.
The fundamental counting principle states that if there are m ways to do one thing and n ways to do another, there are m × n ways to do both.
A restaurant offers 4 types of appetizers and 5 types of main courses. How many different meals can be ordered with one appetizer and one main course?
- A. 9
- B. 20
- C. 4
- D. 5
Answer: B. 20
Using the counting principle: 4 appetizers × 5 main courses = 20 different meal combinations.
Using the counting principle: 4 appetizers × 5 main courses = 20 different meal combinations.
Create a systematic list of all two-digit numbers using digits 1 and 2 only, where digits cannot repeat. Which is the complete list?
- A. 11, 12, 21, 22
- B. 12, 21
- C. 11, 22
- D. 12, 22, 21
Answer: B. 12, 21
When digits cannot repeat, from digits 1 and 2: first position has 2 choices, second position has 1 choice, giving us 12 and 21 only.
When digits cannot repeat, from digits 1 and 2: first position has 2 choices, second position has 1 choice, giving us 12 and 21 only.
Analyze this scenario: You need to route data through 5 different checkpoints. At each checkpoint, data can take 2 different paths. Using information processing principles, what is the maximum number of different routes?
- A. 10
- B. 7
- C. 32
- D. 25
Answer: C. 32
At each of 5 checkpoints, 2 path choices are available; using counting principle: 2 × 2 × 2 × 2 × 2 = 2⁵ = 32 different routes.
At each of 5 checkpoints, 2 path choices are available; using counting principle: 2 × 2 × 2 × 2 × 2 = 2⁵ = 32 different routes.
A student creates a tree diagram for selecting a outfit (shirt, pants, shoes) with 3 shirts, 2 pants, and 2 shoes. After drawing the diagram, they realize it's incomplete. What is the correct total number of complete branches?
- A. 7
- B. 12
- C. 24
- D. 8
Answer: B. 12
Complete outfit combinations = 3 shirts × 2 pants × 2 shoes = 12 final branches in the complete tree diagram.
Complete outfit combinations = 3 shirts × 2 pants × 2 shoes = 12 final branches in the complete tree diagram.
Analyze this: A network must route data through 3 checkpoints. At checkpoint 1, there are 2 choices; at checkpoint 2, there are 3 choices; at checkpoint 3, there are 5 choices. However, the last choice at checkpoint 3 leads back to checkpoint 1. What is the maximum number of DIFFERENT first-pass routes (from checkpoint 1 to 3 without looping)?
- A. 10
- B. 30
- C. 6
- D. 15
Answer: B. 30
For the first pass (without using the loop-back option), we count: 2 choices (checkpoint 1) × 3 choices (checkpoint 2) × 5 choices (checkpoint 3) = 30 different routes.
For the first pass (without using the loop-back option), we count: 2 choices (checkpoint 1) × 3 choices (checkpoint 2) × 5 choices (checkpoint 3) = 30 different routes.
A restaurant has a 'choose your own' menu where customers select: 1 from 4 appetizers, 1 from 6 main courses, and 1 from 3 desserts. A group of 12 people each orders independently. Which statement is FALSE?
- A. Each person has 72 possible meal combinations
- B. Using tree diagram would show 72 final branches
- C. All 12 people must order the same meal combination
- D. Counting principle gives 4 × 6 × 3 = 72
Answer: C. All 12 people must order the same meal combination
The statement 'All 12 people must order the same combination' is FALSE; each person independently chooses from 72 possible combinations, not necessarily the same.
The statement 'All 12 people must order the same combination' is FALSE; each person independently chooses from 72 possible combinations, not necessarily the same.