Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
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
61
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.
62
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.
63
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.
64
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.
65
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.
66
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.
67
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.
68
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.
69
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.
70
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.