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
171
Identify the odd one out in the series: 8, 27, 64, 125, 216, 343, 512, 720
Answer:
720
Step 1: Review the numbers: 8, 27, 64, 125, 216, 343, 512, 720. Step 2: Recognize the perfect cubes from 2^3 to 8^3 (512). Step 3: The next cube should be 9^3 = 729. Since 720 is given instead, it is the odd man out.
172
Find the odd man out: 9, 28, 65, 126, 217, 345
Answer:
345
Step 1: Analyze the sequence: 9, 28, 65, 126, 217, 345. Step 2: Look for a cube-based pattern. The numbers follow the form n^3 + 1: 2^3+1=9, 3^3+1=28, 4^3+1=65, 5^3+1=126, 6^3+1=217. Step 3: The next should be 7^3 + 1 = 343 + 1 = 344. The number 345 is given, making it the odd man out.
173
Which number does not belong to the group: 7, 26, 63, 124, 217, 342
Answer:
217
Step 1: Look at the series: 7, 26, 63, 124, 217, 342. Step 2: The pattern follows n^3 - 1. For example, 2^3-1=7, 3^3-1=26, 4^3-1=63, 5^3-1=124. Step 3: For n=6, the value should be 6^3 - 1 = 216 - 1 = 215. The number 217 is given, making it the odd one out.
174
Find the odd man out in the series: 64, 125, 216, 343, 512, 729, 1008
Answer:
1008
Step 1: Examine the numbers: 64, 125, 216, 343, 512, 729, 1008. Step 2: Note that these are cubes of integers from 4 to 9 (4^3=64, ..., 9^3=729). Step 3: The next cube should be 10^3 = 1000. Since 1008 is given, it is the odd man out.
175
Identify the odd one out: 1000, 1331, 1728, 2197, 2744, 3375, 4000
Answer:
4000
Step 1: Analyze the sequence: 1000, 1331, 1728, 2197, 2744, 3375, 4000. Step 2: Identify the perfect cubes: 10^3=1000, 11^3=1331, 12^3=1728, 13^3=2197, 14^3=2744, 15^3=3375. Step 3: The next term should be 16^3 = 4096. The number 4000 is not a perfect cube of an integer in this sequence, so it is the odd man out.
176
Find the odd man out: 0, 7, 26, 63, 124, 215, 342, 510
Answer:
510
Step 1: Observe the given series: 0, 7, 26, 63, 124, 215, 342, 510. Step 2: Check for a cube-based pattern. The numbers follow the form n^3 - 1: 1^3-1=0, 2^3-1=7, 3^3-1=26, ..., 7^3-1=342. Step 3: The next term should be 8^3 - 1 = 512 - 1 = 511. The number 510 is given, making it the odd man out.
177
Which number is the odd man out: 2, 9, 28, 65, 126, 216, 344
Answer:
216
Step 1: Analyze the series: 2, 9, 28, 65, 126, 216, 344. Step 2: Identify the pattern: Each number is one more than a perfect cube (n^3 + 1). 1^3+1=2, 2^3+1=9, 3^3+1=28, 4^3+1=65, 5^3+1=126. Step 3: The next term should be 6^3 + 1 = 217. Since 216 is given, it is the odd man out.
178
Find the odd number in the series: 27, 64, 125, 216, 333, 512
Answer:
333
Step 1: Examine the numbers: 27, 64, 125, 216, 333, 512. Step 2: They are cubes of consecutive integers: 3^3=27, 4^3=64, 5^3=125, 6^3=216. Step 3: The next cube should be 7^3 = 343. Since 333 is given, it is the odd man out.
179
Identify the odd one out: 8, 27, 64, 100, 125, 216, 343
Answer:
100
Step 1: Look at the sequence: 8, 27, 64, 100, 125, 216, 343. Step 2: Recognize the perfect cubes: 2^3, 3^3, 4^3. Step 3: The next cube should be 5^3 = 125. The number 100 is a perfect square, not a perfect cube in this sequence. Therefore, 100 is the odd man out.
180
Find the odd man out: 1, 8, 27, 64, 125, 215, 343
Answer:
215
Step 1: Analyze the series: 1, 8, 27, 64, 125, 215, 343. Step 2: Observe that these are perfect cubes: 1^3=1, 2^3=8, 3^3=27, 4^3=64, 5^3=125. Step 3: The next cube should be 6^3 = 216. Since 215 is given, it is the odd man out.