All Categories MCQs
Topic Notes: All Categories
General Description
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
2411
Identify the next number in the sequence: 9, 16, 25, 36, 49, ...
Answer:
64
This sequence consists of the squares of consecutive integers starting from 3 (3^2=9, 4^2=16). The final given term is 7^2=49, so the next term will be 8^2, which equals 64.
2412
Which number comes next in the series: 4, 9, 16, 25, 36, ...?
Answer:
49
The series represents the squares of consecutive natural numbers starting from 2 (2^2, 3^2, 4^2, 5^2, 6^2). The next number must be the square of 7, which is 7 x 7 = 49.
2413
Find the next term in the sequence: 0, 7, 26, 63, 124, ...
Answer:
215
This series is constructed by taking the cubes of consecutive natural numbers and subtracting 1 (n^3 - 1). Since 5^3 - 1 = 124, the next term is 6^3 - 1 = 216 - 1 = 215.
2414
What is the next number in the series: 2, 9, 28, 65, 126, ...?
Answer:
217
The numbers here follow the rule (n^3 + 1) for consecutive integers. For example, 1^3+1=2, 2^3+1=9, and 5^3+1=126. The next term will be 6^3 + 1 = 216 + 1 = 217.
2415
Find the missing number in the series: 0, 3, 8, 15, 24, ...
Answer:
35
This sequence is generated by subtracting 1 from the squares of consecutive natural numbers (n^2 - 1). The pattern is 1^2-1=0, 2^2-1=3, up to 5^2-1=24. The next term is 6^2 - 1 = 36 - 1 = 35.
2416
Identify the next term in the series: 2, 5, 10, 17, 26, ...
Answer:
37
This series is formed by adding 1 to the squares of consecutive natural numbers (n^2 + 1). The pattern is 1^2+1=2, 2^2+1=5, up to 5^2+1=26. The next term is 6^2 + 1 = 36 + 1 = 37.
2417
What will come next in the sequence: 1, 8, 27, 64, 125, ...?
Answer:
216
The numbers in this series are the perfect cubes of consecutive integers (1^3, 2^3, 3^3, 4^3, 5^3). The next term is the cube of 6, which is 6 x 6 x 6 = 216.
2418
Find the next number in the series: 1, 4, 9, 16, 25, ...
Answer:
36
This sequence represents the squares of consecutive natural numbers (1^2, 2^2, 3^2, 4^2, 5^2). The next number must be the square of 6, which is 6 x 6 = 36.
2419
What comes next in the sequence: 8, 16, 32, 64, ...?
Answer:
128
This is a classic doubling sequence where each term is multiplied by 2 (8 x 2 = 16, 16 x 2 = 32). The next logical number is 64 x 2, which equals 128.
2420
Find the missing number in the series: 1, 5, 25, 125, ...
Answer:
625
This series represents consecutive powers of 5, starting from 5^0. Each term is multiplied by 5 to get the next term. Consequently, 125 x 5 gives the next value, 625.