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
181
Identify the odd one out in the series: 81, 100, 121, 144, 169, 196, 224
Answer:
224
Step 1: Examine the numbers: 81, 100, 121, 144, 169, 196, 224. Step 2: Notice that 81 to 196 are the perfect squares of the numbers 9 through 14. Step 3: The next square is 15^2 = 225. The number 224 is given instead, making it the odd one out.
182
Find the odd man out: 225, 256, 289, 324, 361, 399
Answer:
399
Step 1: Analyze the sequence: 225, 256, 289, 324, 361, 399. Step 2: The numbers are consecutive perfect squares: 15^2=225, 16^2=256, 17^2=289, 18^2=324, 19^2=361. Step 3: The next square should be 20^2 = 400. 399 is not a perfect square, making it the odd man out.
183
Which number is the odd man out: 100, 121, 144, 169, 196, 221
Answer:
221
Step 1: Review the series: 100, 121, 144, 169, 196, 221. Step 2: Observe that 100, 121, 144, 169, and 196 are squares of 10, 11, 12, 13, and 14 respectively. Step 3: The next square should be 15^2 = 225. Since 221 is given, it is the odd man out.
184
Find the odd man out in the series: 2, 5, 10, 17, 26, 38, 50
Answer:
38
Step 1: Look at the numbers: 2, 5, 10, 17, 26, 38, 50. Step 2: Check for a square-based pattern. The numbers follow the form n^2 + 1: 1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26. Step 3: The next term should be 6^2 + 1 = 37, but 38 is given. Hence, 38 is the odd one out.
185
Identify the odd one out: 3, 8, 15, 24, 34, 48, 63
Answer:
34
Step 1: Analyze the sequence: 3, 8, 15, 24, 34, 48, 63. Step 2: Identify the pattern: Each number is one less than a perfect square (n^2 - 1). 2^2-1=3, 3^2-1=8, 4^2-1=15, 5^2-1=24. Step 3: The next should be 6^2 - 1 = 35. Instead, 34 is given. Therefore, 34 is the odd man out.
186
Find the odd man out: 5, 10, 17, 26, 37, 50, 64
Answer:
64
Step 1: Examine the series: 5, 10, 17, 26, 37, 50, 64. Step 2: Identify the pattern: Each number is one more than a perfect square (n^2 + 1). 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26, 6^2+1=37, 7^2+1=50. Step 3: The next number should be 8^2 + 1 = 65, but 64 is given. Thus, 64 is the odd man out.
187
Which number does not belong to the group: 121, 144, 169, 196, 225, 250
Answer:
250
Step 1: Analyze the series: 121, 144, 169, 196, 225, 250. Step 2: Recognize the squares of consecutive integers: 11^2=121, 12^2=144, 13^2=169, 14^2=196, 15^2=225. Step 3: The number 250 is not a perfect square. The next square should be 256. Therefore, 250 is the odd man out.
188
Find the odd man out in the series: 16, 25, 36, 72, 144, 196, 225
Answer:
72
Step 1: Examine the numbers: 16, 25, 36, 72, 144, 196, 225. Step 2: Most of these numbers are perfect squares: 4^2, 5^2, 6^2, 12^2, 14^2, 15^2. Step 3: The number 72 is not a perfect square. Hence, 72 is the odd man out.
189
Identify the odd one out: 1, 4, 9, 16, 20, 36, 49
Answer:
20
Step 1: Look at the sequence: 1, 4, 9, 16, 20, 36, 49. Step 2: Observe that 1, 4, 9, 16, 36, and 49 are squares of 1, 2, 3, 4, 6, and 7 respectively. Step 3: The number 20 is not a perfect square (it falls between 16 and 25). Therefore, 20 is the odd one out.
190
Find the odd man out: 4, 9, 16, 25, 36, 48
Answer:
48
Step 1: Analyze the series: 4, 9, 16, 25, 36, 48. Step 2: Recognize that the numbers 4 (2^2), 9 (3^2), 16 (4^2), 25 (5^2), and 36 (6^2) are perfect squares. Step 3: The number 48 is not a perfect square (the next should be 49). Thus, 48 is the odd man out.