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
41
If 12 : 21 :: 278 : x, find x.
Answer:
486.5
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (21 * 278) / 12. 3. Compute x = 486.5.
42
If 17 : 21 :: 288 : x, find x.
Answer:
355.76
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (21 * 288) / 17. 3. Compute x = 355.76.
43
If 12 : 22 :: 152 : x, find x.
Answer:
278.67
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (22 * 152) / 12. 3. Compute x = 278.67.
44
If 15 : 18 :: 242 : x, find x.
Answer:
290.4
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (18 * 242) / 15. 3. Compute x = 290.4.
45
If 16 : 19 :: 118 : x, find x.
Answer:
140.12
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (19 * 118) / 16. 3. Compute x = 140.12.
46
If 16 : 20 :: 202 : x, find x.
Answer:
252.5
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (20 * 202) / 16. 3. Compute x = 252.5.
47
If 13 : 19 :: 182 : x, find x.
Answer:
266.0
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (19 * 182) / 13. 3. Compute x = 266.0.
48
If 15 : 21 :: 144 : x, find x.
Answer:
201.6
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (21 * 144) / 15. 3. Compute x = 201.6.
49
If 16 : 19 :: 258 : x, find x.
Answer:
306.38
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (19 * 258) / 16. 3. Compute x = 306.38.
50
If 12 : 18 :: 96 : x, find x.
Answer:
144.0
Step-by-step solution: 1. Use the property of proportions: a/b = c/x. 2. Cross-multiply: x = (b * c) / a = (18 * 96) / 12. 3. Compute x = 144.0.