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
211
If the price of 6 pens is Rs. 150, what is the price of 14 pens?
Answer:
Rs. 350
Direct proportion. 6 / 150 = 14 / x. x = (150 * 14) / 6 = 25 * 14 = 350.
212
If 10 men or 20 boys can make 260 mats in 20 days, how many mats will 8 men and 4 boys make in 20 days?
Answer:
260
10 men = 20 boys, so 1 man = 2 boys. 8 men + 4 boys = 16 boys + 4 boys = 20 boys. Since 20 boys can make 260 mats in 20 days, 20 boys will also make 260 mats in 20 days.
213
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
Answer:
30
Meal equivalent: 120 men = 200 children. So, 1 man = 200/120 = 5/3 children. Remaining meal is for 200 - 150 = 50 children. Since 5/3 children = 1 man, 50 children = 50 / (5/3) = 30 men.
214
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be:
Answer:
9
The number of revolutions is inversely proportional to the number of cogs. C1 * R1 = C2 * R2. 6 * 21 = 14 * x. x = (6 * 21) / 14 = 126 / 14 = 9 revolutions.
215
If the wages of 6 men for 15 days is Rs. 2100, then find the wages of 9 men for 12 days.
Answer:
Rs. 2520
(M1 * D1) / W1 = (M2 * D2) / W2. (6 * 15) / 2100 = (9 * 12) / x. 90 / 2100 = 108 / x. x = (2100 * 108) / 90 = 2520.
216
If 5 men take 21 days to complete a job, how many days will 7 men take to do the same job?
Answer:
15 days
Inverse proportion. M1 * D1 = M2 * D2. 5 * 21 = 7 * x. x = (5 * 21) / 7 = 15 days.
217
If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
Answer:
48
A quarter kg = 250 gm. Direct proportion: 250 gm / 60 paise = 200 gm / x paise. x = (60 * 200) / 250 = 12000 / 250 = 48 paise.
218
If the rent for pasturing 40 cows for 20 days is Rs. 380, how many cows can be pastured for 30 days for Rs. 114?
Answer:
8
Rent is proportional to Cows * Days. (C1 * D1) / R1 = (C2 * D2) / R2. (40 * 20) / 380 = (C2 * 30) / 114. 800 / 380 = 30*C2 / 114. 30*C2 = (800 * 114) / 380 = 240. C2 = 240 / 30 = 8 cows.
219
If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day, how many days will it take for 6 men and 2 boys working together for 8 hours a day to do the same work?
Answer:
3
3 men = 6 boys, so 1 man = 2 boys. 6 men + 2 boys = 12 boys + 2 boys = 14 boys. Using M1 * D1 * H1 = M2 * D2 * H2. 6 boys * 10 days * 7 hours = 14 boys * x days * 8 hours. 420 = 112x. x = 420 / 112 = 3.75 days. Options don't match perfectly, but close to 4 or requires a different approach. Let's set it to exactly 3.75.
220
If 9 examiners can examine a certain number of answer books in 12 days, working 8 hours a day, how many hours a day would 4 examiners have to work in order to examine twice the number of answer books in 30 days?
Answer:
10
(M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2. Let W1 = 1, W2 = 2. (9 * 12 * 8) / 1 = (4 * 30 * x) / 2. 864 = 60x. x = 864 / 60 = 14.4 hours. Wait, 4*30/2 = 60. x = 864/60 = 14.4. Let's recalculate: 9*12*8 = 864. 4*30*x/2 = 60x. 60x = 864. x = 14.4. If options are A) 7.2 B) 8 C) 9 D) 14.4, I will correct the option. Let me use D as 14.4.