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
41
Identify the missing number: 8, 4, 4, 6, 12, ...
Answer:
30
Like similar patterns, the multipliers increase by 0.5 at each step. Check: 8 * 0.5 = 4, 4 * 1 = 4, 4 * 1.5 = 6, 6 * 2 = 12. The next multiplier is 2.5, resulting in 12 * 2.5 = 30.
42
What is the next term in the sequence: 4, 2, 2, 3, 6, ...?
Answer:
15
This series is formed by multiplying the previous term by an ascending sequence of numbers: 0.5, 1.0, 1.5, 2.0. To continue the pattern, we multiply the last term by 2.5. Thus, 6 x 2.5 = 15.
43
Find the next number in the decimal series: 2, 1, 1, 1.5, 3, ...
Answer:
7.5
The pattern involves multiplying by incrementally increasing numbers: 2 x 0.5 = 1; 1 x 1 = 1; 1 x 1.5 = 1.5; 1.5 x 2 = 3. To find the next number, we multiply by 2.5. Thus, 3 x 2.5 = 7.5.
44
What comes next in the sequence: 12, 15, 24, 30, 36, 45, 48, ...?
Answer:
60
This interleaved series follows two additive rules. Odd positions are 12, 24, 36, 48 (increasing by 12). Even positions are 15, 30, 45 (increasing by 15). The next term belongs to the even positions, so 45 + 15 = 60.
45
Find the missing term: 1, 10, 4, 20, 9, 30, 16, ...
Answer:
40
This alternating series uses two very predictable sequences. The first (at odd positions) is a sequence of perfect squares: 1, 4, 9, 16. The second (at even positions) is multiples of 10: 10, 20, 30. The next term continues the multiples of 10, making it 40.
46
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.
47
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.
48
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.
49
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.
50
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.