Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
How many permutations can be made by taking 3 items from 7 distinct items?
Answer:
210
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 3) = 7! / (7 - 3)! = 210. 3. Compute factorial values to evaluate the expression.
2
How many permutations can be made by taking 4 items from 7 distinct items?
Answer:
840
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 4) = 7! / (7 - 4)! = 840. 3. Compute factorial values to evaluate the expression.
3
How many permutations can be made by taking 5 items from 7 distinct items?
Answer:
2520
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(7, 5) = 7! / (7 - 5)! = 2520. 3. Compute factorial values to evaluate the expression.
4
How many permutations can be made by taking 4 items from 10 distinct items?
Answer:
5040
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(10, 4) = 10! / (10 - 4)! = 5040. 3. Compute factorial values to evaluate the expression.
5
How many permutations can be made by taking 5 items from 6 distinct items?
Answer:
720
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(6, 5) = 6! / (6 - 5)! = 720. 3. Compute factorial values to evaluate the expression.
6
How many permutations can be made by taking 4 items from 9 distinct items?
Answer:
3024
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(9, 4) = 9! / (9 - 4)! = 3024. 3. Compute factorial values to evaluate the expression.
7
How many permutations can be made by taking 5 items from 8 distinct items?
Answer:
6720
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(8, 5) = 8! / (8 - 5)! = 6720. 3. Compute factorial values to evaluate the expression.
8
How many permutations can be made by taking 4 items from 8 distinct items?
Answer:
1680
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(8, 4) = 8! / (8 - 4)! = 1680. 3. Compute factorial values to evaluate the expression.
9
How many permutations can be made by taking 5 items from 10 distinct items?
Answer:
30240
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(10, 5) = 10! / (10 - 5)! = 30240. 3. Compute factorial values to evaluate the expression.
10
How many permutations can be made by taking 3 items from 6 distinct items?
Answer:
120
Step-by-step solution: 1. Use P(n, r) = n! / (n - r)!. 2. P(6, 3) = 6! / (6 - 3)! = 120. 3. Compute factorial values to evaluate the expression.