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
71
Identify the missing number: 2, 3, 5, 9, 17, ...
Answer:
33
This series follows the rule of multiplying the preceding term by 2 and subtracting 1. Check: (2 x 2) - 1 = 3; (3 x 2) - 1 = 5. To find the next number: (17 x 2) - 1 = 34 - 1 = 33.
72
What is the next term in the sequence: 4, 9, 19, 39, 79, ...?
Answer:
159
The logic behind this series is to multiply the current term by 2 and add 1 to get the next term. (4 x 2) + 1 = 9; (9 x 2) + 1 = 19. Applying this to 79: (79 x 2) + 1 = 158 + 1 = 159.
73
Find the next number in the mixed operation series: 3, 7, 15, 31, 63, ...
Answer:
127
The pattern involves multiplying the previous term by 2 and then adding 1. For example, (3 x 2) + 1 = 7, (7 x 2) + 1 = 15, and so on. For the final term: (63 x 2) + 1 = 126 + 1 = 127.
74
What comes next in the sequence: 3, 7, 13, 19, 29, ...?
Answer:
37
This is another alternate prime number series starting from 3. The prime list is 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. By skipping every other prime (skip 5, 11, 17, 23, 31), the term after 29 is 37.
75
Find the missing term: 2, 5, 11, 17, 23, ...
Answer:
31
This sequence represents alternate prime numbers. The full prime list is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. Skipping one prime each time (skip 3, skip 7, etc.), the term after 23 (skipping 29) is 31.
76
What is the next number in the series: 5, 7, 11, 17, 25, ...?
Answer:
35
Analyzing the differences between consecutive terms (7-5=2, 11-7=4, 17-11=6, 25-17=8), we see the differences form an even number sequence (2, 4, 6, 8). Adding the next even number (10) to 25 yields 35.
77
Identify the next number in the pattern: 8, 27, 125, 343, 1331, ...
Answer:
2197
This series consists of the cubes of consecutive prime numbers (2^3, 3^3, 5^3, 7^3, 11^3). Since the next prime number is 13, the next term is 13^3, which equals 2197.
78
Which number completes the series: 4, 9, 25, 49, 121, ...?
Answer:
169
The numbers in this sequence are exactly the squares of consecutive prime numbers (2^2, 3^2, 5^2, 7^2, 11^2). The next prime is 13, and its square is 13 x 13 = 169.
79
Find the next term: 1, 2, 4, 6, 10, ...
Answer:
12
This pattern involves taking consecutive prime numbers and subtracting 1 from each (2-1=1, 3-1=2, 5-1=4, 7-1=6, 11-1=10). The next prime is 13, so 13 - 1 equals 12.
80
What number follows in the series: 3, 4, 6, 8, 12, ...?
Answer:
14
This series is formed by taking consecutive prime numbers and adding 1 to each of them (2+1=3, 3+1=4, 5+1=6, 7+1=8, 11+1=12). The next prime is 13, so the next term is 13 + 1 = 14.