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
2391
What is the next number in the series: 5, 13, 29, 61, 125, ...?
Answer:
253
In this series, each term is obtained by multiplying the previous term by 2 and then adding 3. For example, (5 x 2) + 3 = 13, and (13 x 2) + 3 = 29. Therefore, the next number is (125 x 2) + 3 = 253.
2392
Identify the next term in the sequence: 4, 14, 44, 134, 404, ...
Answer:
1214
The established rule for this series is to multiply the term by 3 and add 2. Let's check: (4 x 3) + 2 = 14; (14 x 3) + 2 = 44. Applying the rule: (404 x 3) + 2 = 1212 + 2 = 1214.
2393
Which number completes the series: 2, 5, 14, 41, 122, ...?
Answer:
365
This pattern involves multiplying the previous number by 3 and subtracting 1. Verification: (2 x 3) - 1 = 5; (5 x 3) - 1 = 14. Calculating the next term: (122 x 3) - 1 = 366 - 1 = 365.
2394
Find the next number in the series: 3, 10, 31, 94, 283, ...
Answer:
850
The underlying logic is to multiply the current term by 3 and add 1. For instance, (3 x 3) + 1 = 10, and (10 x 3) + 1 = 31. To extend the series: (283 x 3) + 1 = 849 + 1 = 850.
2395
What number comes next: 5, 9, 17, 33, 65, ...?
Answer:
129
The operative pattern is multiplying by 2 and subtracting 1 at each step (e.g., 5 x 2 - 1 = 9, 9 x 2 - 1 = 17). Performing this on the last term gives (65 x 2) - 1 = 130 - 1 = 129.
2396
Identify the missing number: 2, 3, 5, 9, 17, ...
Answer:
33
This series follows the rule of multiplying the preceding term by 2 and subtracting 1. Check: (2 x 2) - 1 = 3; (3 x 2) - 1 = 5. To find the next number: (17 x 2) - 1 = 34 - 1 = 33.
2397
What is the next term in the sequence: 4, 9, 19, 39, 79, ...?
Answer:
159
The logic behind this series is to multiply the current term by 2 and add 1 to get the next term. (4 x 2) + 1 = 9; (9 x 2) + 1 = 19. Applying this to 79: (79 x 2) + 1 = 158 + 1 = 159.
2398
Find the next number in the mixed operation series: 3, 7, 15, 31, 63, ...
Answer:
127
The pattern involves multiplying the previous term by 2 and then adding 1. For example, (3 x 2) + 1 = 7, (7 x 2) + 1 = 15, and so on. For the final term: (63 x 2) + 1 = 126 + 1 = 127.
2399
What comes next in the sequence: 3, 7, 13, 19, 29, ...?
Answer:
37
This is another alternate prime number series starting from 3. The prime list is 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. By skipping every other prime (skip 5, 11, 17, 23, 31), the term after 29 is 37.
2400
Find the missing term: 2, 5, 11, 17, 23, ...
Answer:
31
This sequence represents alternate prime numbers. The full prime list is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. Skipping one prime each time (skip 3, skip 7, etc.), the term after 23 (skipping 29) is 31.