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
2351
Identify the next number in the sequence: 3, 6, 18, 72, 360, ...
Answer:
2160
Similar to previous patterns, the sequence features progressively increasing multiplication factors (x2, x3, x4, x5). Expanding this pattern to the next logical step, we multiply 360 by 6 to yield 2160.
2352
Which number comes next in the series: 2, 4, 12, 48, 240, ...?
Answer:
1440
The sequence follows a pattern of increasing multipliers. The first term is multiplied by 2, the second by 3, the third by 4, and the fourth by 5. For the next term, we multiply 240 by 6, which gives 1440.
2353
Find the next term in the sequence: 4, 4, 8, 24, 96, ...
Answer:
480
This sequence employs a factorial-like multiplication pattern. Each term is multiplied by consecutively increasing integers starting from 1 (x1, x2, x3, x4). To find the next number, we multiply 96 by 5, obtaining 480.
2354
What is the next number in the series: 5, 6, 14, 45, 184, ...?
Answer:
925
The sequence logic requires multiplying the previous term by 'n' and adding 'n', where n increments by 1. Check: (5x1)+1=6; (6x2)+2=14; (14x3)+3=45; (45x4)+4=184. The next term is (184x5)+5 = 920+5 = 925.
2355
Find the missing number in the series: 2, 3, 8, 27, 112, ...
Answer:
565
This series uses the same pattern as above: multiply by n and add n. Let's verify: (2x1)+1=3; (3x2)+2=8; (8x3)+3=27; (27x4)+4=112. The next computation must be (112x5)+5 = 560+5 = 565.
2356
Identify the next term in the complex series: 1, 2, 6, 21, 88, ...
Answer:
445
The pattern involves multiplying the previous term by its positional integer and adding that same integer. (1x1)+1=2; (2x2)+2=6; (6x3)+3=21; (21x4)+4=88. The next operation is (88x5)+5 = 440+5 = 445.
2357
What will come next in the given series: 2, 2, 4, 6, 10, 16, ...?
Answer:
26
This series functions identically to the Fibonacci sequence, where each term is the sum of the two previous terms, but it starts with 2 and 2. Adding 10 and 16 gives the next logical term, 26.
2358
Find the next number in the Fibonacci series: 1, 1, 2, 3, 5, 8, 13, ...
Answer:
21
The Fibonacci sequence operates on the rule that every term (starting from the third) is the sum of the two immediately preceding terms. Therefore, adding the last two terms (8 + 13) provides the next number, which is 21.
2359
What comes next in the sequence: 18, 9, 9, 13.5, 27, ...?
Answer:
67.5
Applying the pattern of incrementally increasing multipliers (0.5, 1, 1.5, 2), the final operation to find the next sequence value is multiplying 27 by 2.5. The calculation 27 x 2.5 yields 67.5.
2360
Find the missing number in the series: 14, 7, 7, 10.5, 21, ...
Answer:
52.5
The multiplier increases by 0.5 iteratively. Following the pattern of *0.5, *1, *1.5, *2, the next required operation is to multiply the current last term by 2.5. Consequently, 21 x 2.5 = 52.5.