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
91
Identify the next term in the series: 2, 5, 10, 17, 26, ...
Answer:
37
This series is formed by adding 1 to the squares of consecutive natural numbers (n^2 + 1). The pattern is 1^2+1=2, 2^2+1=5, up to 5^2+1=26. The next term is 6^2 + 1 = 36 + 1 = 37.
92
What will come next in the sequence: 1, 8, 27, 64, 125, ...?
Answer:
216
The numbers in this series are the perfect cubes of consecutive integers (1^3, 2^3, 3^3, 4^3, 5^3). The next term is the cube of 6, which is 6 x 6 x 6 = 216.
93
Find the next number in the series: 1, 4, 9, 16, 25, ...
Answer:
36
This sequence represents the squares of consecutive natural numbers (1^2, 2^2, 3^2, 4^2, 5^2). The next number must be the square of 6, which is 6 x 6 = 36.
94
What comes next in the sequence: 8, 16, 32, 64, ...?
Answer:
128
This is a classic doubling sequence where each term is multiplied by 2 (8 x 2 = 16, 16 x 2 = 32). The next logical number is 64 x 2, which equals 128.
95
Find the missing number in the series: 1, 5, 25, 125, ...
Answer:
625
This series represents consecutive powers of 5, starting from 5^0. Each term is multiplied by 5 to get the next term. Consequently, 125 x 5 gives the next value, 625.
96
What is the next number in the series: 10, 50, 250, 1250, ...?
Answer:
6250
The pattern consists of multiplying each term by 5 to reach the next term (10 x 5 = 50, 50 x 5 = 250). Applying this multiplier to 1250 yields 6250.
97
Identify the next term in the sequence: 6, 24, 96, 384, ...
Answer:
1536
This is a geometric series where every term is generated by multiplying the previous term by 4 (6 x 4 = 24). Continuing this pattern, 384 x 4 gives 1536.
98
Which number completes the series: 7, 14, 28, 56, ...?
Answer:
112
In this sequence, each number is precisely double the previous number (7 x 2 = 14, 14 x 2 = 28). To find the next number, we multiply 56 by 2, resulting in 112.
99
Find the next number in the series: 2, 6, 18, 54, ...
Answer:
162
This geometric progression has a common multiplier of 3. Checking the terms: 2 x 3 = 6, and 6 x 3 = 18. Following this established rule, 54 x 3 equals 162.
100
What number comes next: 4, 16, 64, 256, ...?
Answer:
1024
This sequence is generated by multiplying the preceding number by 4 to obtain the next term (4 x 4 = 16, 16 x 4 = 64). Multiplying 256 by 4 gives the correct answer, 1024.