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
2401
What is the next number in the series: 5, 7, 11, 17, 25, ...?
Answer:
35
Analyzing the differences between consecutive terms (7-5=2, 11-7=4, 17-11=6, 25-17=8), we see the differences form an even number sequence (2, 4, 6, 8). Adding the next even number (10) to 25 yields 35.
2402
Identify the next number in the pattern: 8, 27, 125, 343, 1331, ...
Answer:
2197
This series consists of the cubes of consecutive prime numbers (2^3, 3^3, 5^3, 7^3, 11^3). Since the next prime number is 13, the next term is 13^3, which equals 2197.
2403
Which number completes the series: 4, 9, 25, 49, 121, ...?
Answer:
169
The numbers in this sequence are exactly the squares of consecutive prime numbers (2^2, 3^2, 5^2, 7^2, 11^2). The next prime is 13, and its square is 13 x 13 = 169.
2404
Find the next term: 1, 2, 4, 6, 10, ...
Answer:
12
This pattern involves taking consecutive prime numbers and subtracting 1 from each (2-1=1, 3-1=2, 5-1=4, 7-1=6, 11-1=10). The next prime is 13, so 13 - 1 equals 12.
2405
What number follows in the series: 3, 4, 6, 8, 12, ...?
Answer:
14
This series is formed by taking consecutive prime numbers and adding 1 to each of them (2+1=3, 3+1=4, 5+1=6, 7+1=8, 11+1=12). The next prime is 13, so the next term is 13 + 1 = 14.
2406
Identify the missing term in the series: 7, 11, 13, 17, 19, ...
Answer:
23
Like the previous examples, this sequence is a continuous list of prime numbers, beginning at 7. The next prime number larger than 19 is 23.
2407
Find the next number in the sequence: 3, 5, 7, 11, 13, ...
Answer:
17
The series represents consecutive prime numbers, starting from 3 instead of 2. The next prime number that comes strictly after 13 is 17.
2408
What is the next term in the prime number series: 2, 3, 5, 7, 11, ...?
Answer:
13
This series consists entirely of consecutive prime numbers (numbers divisible only by 1 and themselves). The next prime number immediately following 11 is 13.
2409
Find the missing number: 2, 10, 30, 68, 130, ...
Answer:
222
This series follows the complex pattern of adding 'n' to the cube of 'n' (n^3 + n). For example, 1^3+1=2, 2^3+2=10, 5^3+5=130. The next term is 6^3 + 6 = 216 + 6 = 222.
2410
What will be the next number in the series: 3, 8, 15, 24, 35, ...?
Answer:
48
The pattern is based on subtracting 1 from perfect squares starting from 2^2 (i.e., 2^2-1=3, 3^2-1=8, up to 6^2-1=35). The next calculation is 7^2 - 1 = 49 - 1 = 48.