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
11
Find the roots of x² -9x +14 = 0.
Answer:
7 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 9. 3. Product of roots = c = 14. 4. Roots are 7 and 2.
12
Find the roots of x² -12x +36 = 0.
Answer:
6 and 6
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 12. 3. Product of roots = c = 36. 4. Roots are 6 and 6.
13
Find the roots of x² -13x +40 = 0.
Answer:
8 and 5
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 13. 3. Product of roots = c = 40. 4. Roots are 8 and 5.
14
Find the roots of x² -8x +15 = 0.
Answer:
5 and 3
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 = 15. 4. Roots are 5 and 3.
15
Find the roots of x² -5x +6 = 0.
Answer:
3 and 2
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 5. 3. Product of roots = c = 6. 4. Roots are 3 and 2.
16
Find the roots of x² -12x +32 = 0.
Answer:
8 and 4
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 12. 3. Product of roots = c = 32. 4. Roots are 8 and 4.
17
Find the roots of x² -11x +28 = 0.
Answer:
4 and 7
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 11. 3. Product of roots = c = 28. 4. Roots are 4 and 7.
18
Find the roots of x² -9x +20 = 0.
Answer:
4 and 5
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 9. 3. Product of roots = c = 20. 4. Roots are 4 and 5.
19
Find the roots of x² -11x +24 = 0.
Answer:
8 and 3
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 11. 3. Product of roots = c = 24. 4. Roots are 8 and 3.
20
Find the roots of x² -15x +56 = 0.
Answer:
8 and 7
Step-by-step solution: 1. Factor the quadratic using sum and product of roots. 2. Sum of roots = -b = 15. 3. Product of roots = c = 56. 4. Roots are 8 and 7.