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
21
Find the next term in the series: 7, 12, 17, 22, 27, ?
Answer:
32
Step-by-step solution: 1. Observe that each term increases by a constant difference. 2. Common difference = 5. 3. Next term = last term + difference = 27 + 5 = 32.
22
Find the next term in the series: 4, 9, 14, 19, 24, ?
Answer:
29
Step-by-step solution: 1. Observe that each term increases by a constant difference. 2. Common difference = 5. 3. Next term = last term + difference = 24 + 5 = 29.
23
Find the next term in the series: 7, 13, 19, 25, 31, ?
Answer:
37
Step-by-step solution: 1. Observe that each term increases by a constant difference. 2. Common difference = 6. 3. Next term = last term + difference = 31 + 6 = 37.
24
Find the missing number in the Lucas sequence: 1, 3, 4, 7, 11, 18, ...
Answer:
29
The Lucas sequence operates on the exact same logic as the Fibonacci sequence, where every term starting from the third is the sum of the two preceding terms. Adding 11 and 18 results in 29.
25
What will be the next number in the series: 0, 2, 6, 12, 20, ...?
Answer:
30
This series is generated by the formula n^2 - n for consecutive integers n=1, 2, 3, etc. (1-1=0, 4-2=2, 9-3=6, 16-4=12, 25-5=20). For n=6, the calculation is 36 - 6, which equals 30.
26
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.
27
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.
28
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.
29
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.
30
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.