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
81
Identify the missing term in the series: 7, 11, 13, 17, 19, ...
Answer:
23
Like the previous examples, this sequence is a continuous list of prime numbers, beginning at 7. The next prime number larger than 19 is 23.
82
Find the next number in the sequence: 3, 5, 7, 11, 13, ...
Answer:
17
The series represents consecutive prime numbers, starting from 3 instead of 2. The next prime number that comes strictly after 13 is 17.
83
What is the next term in the prime number series: 2, 3, 5, 7, 11, ...?
Answer:
13
This series consists entirely of consecutive prime numbers (numbers divisible only by 1 and themselves). The next prime number immediately following 11 is 13.
84
Find the missing number: 2, 10, 30, 68, 130, ...
Answer:
222
This series follows the complex pattern of adding 'n' to the cube of 'n' (n^3 + n). For example, 1^3+1=2, 2^3+2=10, 5^3+5=130. The next term is 6^3 + 6 = 216 + 6 = 222.
85
What will be the next number in the series: 3, 8, 15, 24, 35, ...?
Answer:
48
The pattern is based on subtracting 1 from perfect squares starting from 2^2 (i.e., 2^2-1=3, 3^2-1=8, up to 6^2-1=35). The next calculation is 7^2 - 1 = 49 - 1 = 48.
86
Identify the next number in the sequence: 9, 16, 25, 36, 49, ...
Answer:
64
This sequence consists of the squares of consecutive integers starting from 3 (3^2=9, 4^2=16). The final given term is 7^2=49, so the next term will be 8^2, which equals 64.
87
Which number comes next in the series: 4, 9, 16, 25, 36, ...?
Answer:
49
The series represents the squares of consecutive natural numbers starting from 2 (2^2, 3^2, 4^2, 5^2, 6^2). The next number must be the square of 7, which is 7 x 7 = 49.
88
Find the next term in the sequence: 0, 7, 26, 63, 124, ...
Answer:
215
This series is constructed by taking the cubes of consecutive natural numbers and subtracting 1 (n^3 - 1). Since 5^3 - 1 = 124, the next term is 6^3 - 1 = 216 - 1 = 215.
89
What is the next number in the series: 2, 9, 28, 65, 126, ...?
Answer:
217
The numbers here follow the rule (n^3 + 1) for consecutive integers. For example, 1^3+1=2, 2^3+1=9, and 5^3+1=126. The next term will be 6^3 + 1 = 216 + 1 = 217.
90
Find the missing number in the series: 0, 3, 8, 15, 24, ...
Answer:
35
This sequence is generated by subtracting 1 from the squares of consecutive natural numbers (n^2 - 1). The pattern is 1^2-1=0, 2^2-1=3, up to 5^2-1=24. The next term is 6^2 - 1 = 36 - 1 = 35.