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
In what ratio should ingredients costing ₹23 and ₹40 per kg be mixed to obtain a mixture worth ₹33.5 per kg?
Answer:
6.5 : 10.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 33.5) : (33.5 - 23). 3. Therefore the ratio is 6.5 : 10.5.
2
In what ratio should ingredients costing ₹20 and ₹37 per kg be mixed to obtain a mixture worth ₹30.5 per kg?
Answer:
6.5 : 10.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (37 - 30.5) : (30.5 - 20). 3. Therefore the ratio is 6.5 : 10.5.
3
In what ratio should ingredients costing ₹20 and ₹41 per kg be mixed to obtain a mixture worth ₹32.5 per kg?
Answer:
8.5 : 12.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (41 - 32.5) : (32.5 - 20). 3. Therefore the ratio is 8.5 : 12.5.
4
In what ratio should ingredients costing ₹21 and ₹39 per kg be mixed to obtain a mixture worth ₹32.0 per kg?
Answer:
7.0 : 11.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (39 - 32.0) : (32.0 - 21). 3. Therefore the ratio is 7.0 : 11.0.
5
In what ratio should ingredients costing ₹22 and ₹40 per kg be mixed to obtain a mixture worth ₹33.0 per kg?
Answer:
7.0 : 11.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 33.0) : (33.0 - 22). 3. Therefore the ratio is 7.0 : 11.0.
6
In what ratio should ingredients costing ₹19 and ₹41 per kg be mixed to obtain a mixture worth ₹32.0 per kg?
Answer:
9.0 : 13.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (41 - 32.0) : (32.0 - 19). 3. Therefore the ratio is 9.0 : 13.0.
7
In what ratio should ingredients costing ₹19 and ₹40 per kg be mixed to obtain a mixture worth ₹31.5 per kg?
Answer:
8.5 : 12.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 31.5) : (31.5 - 19). 3. Therefore the ratio is 8.5 : 12.5.
8
In what ratio should ingredients costing ₹19 and ₹39 per kg be mixed to obtain a mixture worth ₹31.0 per kg?
Answer:
8.0 : 12.0
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (39 - 31.0) : (31.0 - 19). 3. Therefore the ratio is 8.0 : 12.0.
9
In what ratio should ingredients costing ₹21 and ₹40 per kg be mixed to obtain a mixture worth ₹32.5 per kg?
Answer:
7.5 : 11.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (40 - 32.5) : (32.5 - 21). 3. Therefore the ratio is 7.5 : 11.5.
10
In what ratio should ingredients costing ₹22 and ₹39 per kg be mixed to obtain a mixture worth ₹32.5 per kg?
Answer:
6.5 : 10.5
Step-by-step solution: 1. Use the rule of allegation: (price2 - mean) : (mean - price1). 2. Required ratio = (39 - 32.5) : (32.5 - 22). 3. Therefore the ratio is 6.5 : 10.5.