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
231
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Answer:
7 days
Using (M1 * D1) / W1 = (M2 * D2) / W2. We have (7 * 7) / 7 = (1 * x) / 1. Simplifying, we get 7 = x. So, it takes 7 days.
232
If 20 men can build a wall 112 meters long in 6 days, what length of a similar wall can be built by 25 men in 3 days?
Answer:
70 meters
Using the chain rule formula: (M1 * D1) / W1 = (M2 * D2) / W2. Here, (20 * 6) / 112 = (25 * 3) / x. This simplifies to 120 / 112 = 75 / x. Thus, x = (112 * 75) / 120 = 70 meters.
233
If 15 men can reap a field in 28 days, in how many days will 10 men reap it?
Answer:
42 days
This is an inverse proportion. M1 * D1 = M2 * D2. We have 15 * 28 = 10 * x. Thus, x = (15 * 28) / 10 = 420 / 10 = 42 days.
234
If the weight of a 12-meter long iron rod is 42 kg, what will be the weight of a 20-meter long iron rod of the same thickness?
Answer:
70 kg
This is a direct proportion. More length means more weight. 12 / 42 = 20 / x. So, x = (42 * 20) / 12 = 70 kg.
235
If 36 men can do a piece of work in 18 days, in how many days will 27 men do it?
Answer:
24 days
This is an inverse proportion. Less men will take more days. Formula: M1 * D1 = M2 * D2. So, 36 * 18 = 27 * x. Solving for x gives x = (36 * 18) / 27 = 24 days.
236
If 15 toys cost Rs. 234, what is the cost of 35 toys?
Answer:
Rs. 546
This is a direct proportion. Let the required cost be x. 15 / 234 = 35 / x. Cross-multiplying gives 15x = 234 * 35. Therefore, x = (234 * 35) / 15 = 546.