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
21
In what ratio should ingredients costing ₹24 and ₹38 per kg be mixed to obtain a mixture worth ₹33.0 per kg?
Answer:
5.0 : 9.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (38 - 33.0) : (33.0 - 24). 3. Therefore the ratio is 5.0 : 9.0.
22
In what ratio should ingredients costing ₹21 and ₹38 per kg be mixed to obtain a mixture worth ₹31.5 per kg?
Answer:
6.5 : 10.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (38 - 31.5) : (31.5 - 21). 3. Therefore the ratio is 6.5 : 10.5.
23
In what ratio should ingredients costing ₹21 and ₹37 per kg be mixed to obtain a mixture worth ₹31.0 per kg?
Answer:
6.0 : 10.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (37 - 31.0) : (31.0 - 21). 3. Therefore the ratio is 6.0 : 10.0.
24
In what ratio should ingredients costing ₹20 and ₹40 per kg be mixed to obtain a mixture worth ₹32.0 per kg?
Answer:
8.0 : 12.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 32.0) : (32.0 - 20). 3. Therefore the ratio is 8.0 : 12.0.
25
In what ratio should ingredients costing ₹18 and ₹36 per kg be mixed to obtain a mixture worth ₹29.0 per kg?
Answer:
7.0 : 11.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (36 - 29.0) : (29.0 - 18). 3. Therefore the ratio is 7.0 : 11.0.
26
In what ratio should ingredients costing ₹24 and ₹40 per kg be mixed to obtain a mixture worth ₹34.0 per kg?
Answer:
6.0 : 10.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 34.0) : (34.0 - 24). 3. Therefore the ratio is 6.0 : 10.0.
27
In what ratio should ingredients costing ₹19 and ₹38 per kg be mixed to obtain a mixture worth ₹30.5 per kg?
Answer:
7.5 : 11.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (38 - 30.5) : (30.5 - 19). 3. Therefore the ratio is 7.5 : 11.5.
28
In what ratio should ingredients costing ₹23 and ₹38 per kg be mixed to obtain a mixture worth ₹32.5 per kg?
Answer:
5.5 : 9.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (38 - 32.5) : (32.5 - 23). 3. Therefore the ratio is 5.5 : 9.5.
29
In what ratio should ingredients costing ₹20 and ₹36 per kg be mixed to obtain a mixture worth ₹30.0 per kg?
Answer:
6.0 : 10.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (36 - 30.0) : (30.0 - 20). 3. Therefore the ratio is 6.0 : 10.0.
30
In what ratio should ingredients costing ₹21 and ₹36 per kg be mixed to obtain a mixture worth ₹30.5 per kg?
Answer:
5.5 : 9.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (36 - 30.5) : (30.5 - 21). 3. Therefore the ratio is 5.5 : 9.5.