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
2371
What is the next number in the series: 3, 3, 6, 9, 9, 27, 12, ...?
Answer:
81
This interleaved sequence features two sub-sequences. The odd positions form an arithmetic progression: 3, 6, 9, 12 (adding 3). The even positions form a geometric progression: 3, 9, 27 (multiplying by 3). The next term continues the geometric sequence, so 27 x 3 = 81.
2372
Identify the next number in the pattern: 100, 2, 90, 4, 80, 8, 70, ...
Answer:
16
The pattern alternates between two different rules. The numbers at odd positions (100, 90, 80, 70) are decreasing by 10. The numbers at even positions (2, 4, 8) are doubling each time (*2). The next term follows the second rule, thus 8 x 2 = 16.
2373
Which number completes the series: 50, 10, 45, 15, 40, 20, 35, ...?
Answer:
25
This represents two intertwined series. The first series at odd indices starts at 50 and decreases by 5 (50, 45, 40, 35). The second series at even indices starts at 10 and increases by 5 (10, 15, 20). The next term belongs to the second series, making it 20 + 5 = 25.
2374
Find the next term: 9, 8, 18, 16, 27, 24, 36, ...
Answer:
32
This alternating series combines two sequences. The odd positions show multiples of 9: 9, 18, 27, 36. The even positions display multiples of 8: 8, 16, 24. The next number must follow the even position sequence, which means 24 + 8 = 32.
2375
What number follows in the series: 10, 20, 15, 40, 20, 60, 25, ...?
Answer:
80
The series alternates between two distinct patterns. The first pattern (odd positions) is 10, 15, 20, 25 (adding 5). The second pattern (even positions) is 20, 40, 60 (adding 20). The next number belongs to the second pattern, resulting in 60 + 20 = 80.
2376
Identify the missing term in the interleaved series: 1, 2, 3, 4, 5, 8, 7, ...
Answer:
16
There are two intertwined series here. The first one (odd positions) is 1, 3, 5, 7 (+2 each time). The second one (even positions) is a geometric series: 2, 4, 8 (multiplying by 2). The next term follows the second pattern: 8 x 2 = 16.
2377
Find the next number in the sequence: 5, 10, 8, 15, 11, 20, 14, ...
Answer:
25
This is an alternating series blending two patterns. The first pattern (1st, 3rd, 5th, 7th terms) is 5, 8, 11, 14 (adding 3). The second pattern (2nd, 4th, 6th terms) is 10, 15, 20 (adding 5). The next term continues the second pattern, meaning 20 + 5 = 25.
2378
What is the next term in the alternating series: 2, 3, 4, 6, 6, 9, 8, 12, ...?
Answer:
10
This sequence intertwines two distinct series. The first series consists of the numbers at odd positions (2, 4, 6, 8, ...), which increases by 2. The second series sits at even positions (3, 6, 9, 12, ...), increasing by 3. The next required term belongs to the first series, so 8 + 2 = 10.
2379
Find the missing number: 3, 5, 9, 17, 33, ...
Answer:
65
The differences between the given numbers are 2, 4, 8, 16, which are powers of 2. The next difference in the sequence must be 32. Adding 32 to the last term 33 results in 65.
2380
What will be the next number in the series: 2, 4, 10, 22, 42, ...?
Answer:
72
First, find the differences: 2, 6, 12, 20. These differences do not immediately present a simple pattern. Find the differences of the differences (second-order difference): 4, 6, 8. These increase by 2. The next second-order difference is 10, making the first-order difference 20 + 10 = 30. Finally, 42 + 30 = 72.