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
341
The average score of a cricketer in 2 matches is 27 and in 3 other matches is 32. What is his overall average in 5 matches?
Answer:
29.5
Runs in first 2 matches = 2 × 27 = 54. Runs in next 3 matches = 3 × 32 = 96. Total runs = 150. Average = 150 ÷ 5 = 29.5.
342
The average score of a cricketer for 10 matches is 43.9 runs. If the average for the first six matches is 53, what is the average for the last four matches?
Answer:
29.75
Total runs in 10 matches = 10 × 43.9 = 439. Runs in first six matches = 6 × 53 = 318. Remaining runs = 439 − 318 = 121. Average for last four matches = 121 ÷ 4 = 29.75.
343
The average of 50 numbers is 38. If two numbers 45 and 55 are removed, what is the average of the remaining numbers?
Answer:
37.5
Total sum = 50 × 38 = 1900. Removing 45 and 55 subtracts 100, leaving 1800. Remaining numbers = 48. Average = 1800 ÷ 48 = 37.5.
344
The average of 8 numbers is 21. If each number is multiplied by 8, what will be the new average?
Answer:
168
When each value in a dataset is multiplied by a constant, the average is multiplied by the same constant. New average = 21 × 8 = 168.
345
10 sheep and 5 pigs were bought for ₹6000. If the average price of a sheep is ₹450, what is the average price of a pig?
Answer:
₹300
Cost of 10 sheep = 10 × 450 = 4500. Remaining amount for pigs = 6000 − 4500 = 1500. Number of pigs = 5. Average price per pig = 1500 ÷ 5 = ₹300.
346
Sandeep travels from Agra to Delhi at 40 km/hr and returns at 24 km/hr. What is the average speed for the entire journey?
Answer:
30 km/hr
For equal distances, average speed = (2uv) / (u + v). Substituting u = 40 and v = 24 gives (2 × 40 × 24) / (40 + 24) = 1920 / 64 = 30 km/hr.
347
The average age of a family of 6 members is 22 years. If the youngest member is 7 years old, what was the average age of the family at the birth of the youngest member?
Answer:
18 years
Current total age = 22 × 6 = 132. Seven years earlier, total age would be 132 − (6 × 7) = 90. At that time there were only 5 members because the youngest had just been born. Average = 90 ÷ 5 = 18.
348
The average of 11 results is 50. If the average of the first 6 results is 49 and that of the last 6 results is 52, find the 6th result.
Answer:
56
Sum of 11 results = 11 × 50 = 550. Sum of first 6 = 6 × 49 = 294. Sum of last 6 = 6 × 52 = 312. Adding both sums gives 606. Since the 6th value is counted twice, subtract the total: 606 − 550 = 56.
349
A cricketer scores 72, 59, 18, 101, and 7 runs in five matches. What is his average score?
Answer:
51.4
Total runs = 72 + 59 + 18 + 101 + 7 = 257. Number of matches = 5. Average = 257 ÷ 5 = 51.4.
350
A batsman makes 87 runs in his 17th inning and thereby increases his average by 3. What is his new average?
Answer:
39
Let the new average be x. The previous average for 16 innings was (x − 3). Total runs after 16 innings = 16(x − 3). Adding 87 runs gives 16(x − 3) + 87 = 17x. Solving gives x = 39.