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
2381
Identify the next number in the sequence: 8, 13, 23, 43, 83, ...
Answer:
163
Checking the differences gives 5, 10, 20, 40. This is a doubling difference sequence. The next difference will be 40 x 2 = 80. Adding 80 to 83 gives the next term, 163.
2382
Which number comes next in the series: 5, 8, 17, 44, 125, ...?
Answer:
368
The gaps between the numbers are 3, 9, 27, 81. These are powers of 3 (3^1, 3^2, 3^3, 3^4). The next difference should be 3^5, which equals 243. Adding 243 to 125 gives 368.
2383
Find the next term in the sequence: 4, 6, 10, 18, 34, ...
Answer:
66
The differences between successive terms double at each step: +2, +4, +8, +16. Following this geometric pattern, the next difference is +32. Therefore, 34 + 32 = 66.
2384
What is the next number in the series: 3, 4, 12, 39, 103, ...?
Answer:
228
The differences between the terms are 1, 8, 27, and 64, which correspond to the perfect cubes (1^3, 2^3, 3^3, 4^3). The next difference must be 5^3, which is 125. Adding 125 to 103 results in 228.
2385
Find the missing number in the series: 1, 2, 6, 15, 31, ...
Answer:
56
The sequence of differences between consecutive terms is 1, 4, 9, 16, which are perfect squares (1^2, 2^2, 3^2, 4^2). The next difference should be 5^2, which is 25. Adding 25 to 31 yields 56.
2386
Identify the next term in the series: 10, 12, 16, 22, 30, ...
Answer:
40
The gaps between the numbers increase by consecutive even integers: +2, +4, +6, +8. Continuing this logic, the next gap must be +10. Therefore, 30 + 10 = 40.
2387
What will come next in the given series: 5, 6, 9, 14, 21, ...?
Answer:
30
By examining the differences between terms (6-5=1, 9-6=3, 14-9=5, 21-14=7), we can see they are consecutive odd numbers: +1, +3, +5, +7. The next odd difference to add is 9, so 21 + 9 = 30.
2388
Find the next number in the series: 2, 4, 7, 11, 16, ...
Answer:
22
The differences between consecutive terms form a simple increasing sequence: +2, +3, +4, +5. To find the next number, we must add 6 to the last term. Thus, 16 + 6 = 22.
2389
What comes next in the sequence: 10, 22, 46, 94, 190, ...?
Answer:
382
This sequence is generated by multiplying the preceding number by 2 and adding 2 to the product. For example, (10 x 2) + 2 = 22. For the final step: (190 x 2) + 2 = 380 + 2 = 382.
2390
Find the missing number in the series: 6, 11, 21, 41, 81, ...
Answer:
161
The series follows a specific rule: multiply the previous term by 2 and subtract 1. Checking the pattern: (6 x 2) - 1 = 11, (11 x 2) - 1 = 21. The next term will be (81 x 2) - 1 = 162 - 1 = 161.