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
Find the roots of x² -7x +10 = 0.
Answer:
5 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 7. 3. Product of roots = c = 10. 4. Roots are 5 and 2.
2
Find the roots of x² -10x +16 = 0.
Answer:
8 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 10. 3. Product of roots = c = 16. 4. Roots are 8 and 2.
3
Find the roots of x² -8x +16 = 0.
Answer:
4 and 4
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 8. 3. Product of roots = c = 16. 4. Roots are 4 and 4.
4
Find the roots of x² -14x +49 = 0.
Answer:
7 and 7
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 14. 3. Product of roots = c = 49. 4. Roots are 7 and 7.
5
Find the roots of x² -10x +25 = 0.
Answer:
5 and 5
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 10. 3. Product of roots = c = 25. 4. Roots are 5 and 5.
6
Find the roots of x² -7x +12 = 0.
Answer:
3 and 4
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 7. 3. Product of roots = c = 12. 4. Roots are 3 and 4.
7
Find the roots of x² -8x +12 = 0.
Answer:
6 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 8. 3. Product of roots = c = 12. 4. Roots are 6 and 2.
8
Find the roots of x² -6x +8 = 0.
Answer:
4 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 6. 3. Product of roots = c = 8. 4. Roots are 4 and 2.
9
Find the roots of x² -6x +9 = 0.
Answer:
3 and 3
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 6. 3. Product of roots = c = 9. 4. Roots are 3 and 3.
10
Find the roots of x² -10x +21 = 0.
Answer:
7 and 3
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 10. 3. Product of roots = c = 21. 4. Roots are 7 and 3.