Explanation: The pattern: • 8 = 2 (cube of 2) • 27 = 3 (cube of 3) • 64 = 4 (cube of 4) • 100 is not a cube number. • 125 = 5 (cube of 5) • 216 = 6 (cube of 6) • 343 = 7 (cube of 7) Conclusion: 100 is the odd one out because it is not a perfect cube.

Explanation: Checking the number pattern: We will check the sum of the digits of each number: • 253 : 2 + 5 + 3 = 10 • 136 : 1 + 3 + 6 = 10 • 352 : 3 + 5 + 2 = 10 • 460 : 4 + 6 + 0 = 10 • 324 : 3 + 2 + 4 = 9 (This is different) • 631 : 6 + 3 + 1=10 • 244 : 2 + 4 + 4 = 10 Conclusion: 324 is the odd one out because its sum of digits is 9, while all the others have a sum of 10.

Explanation: Checking the pattern: • 2×2=5 (not true) • 5×2=10(true) • 10×5=50 (true) • 50×10=500 (true) • 500×10=5000 (true) Conclusion: The number 2 does not follow the pattern where each number is multiplied by a certain factor. It doesn't follow the same multiplication logic as the others.

Explanation: Sequence: 9, 12, 11, 14, 13, (…..), 15 Identifying the pattern: • The sequence alternates between adding 3 and subtracting 1: o 9+3=12 o 12−1=11 o 11+3=14 o 14−1=13 Now, following this pattern: • 13+3=16 • 16−1=15 (this matches the last number in the sequence) Conclusion: The missing number is 16.

Explanation: The sequence follows a pattern where each number is the product of two consecutive integers. • 1×2=2 • 2×3=6 • 3×4=12 • 4×5=20 • 5×6=30 • 6×7=42 • 7×8=56 Following this pattern: • The next number is 8×9=72.

Explanation: The pattern alternates between multiplying by 2 and adding 3. Let's break it down: • 5×2 = 10 • 10+3 = 13 • 13×2 = 26 • 26+3 = 29 • 29×2 = 58 • 58+3 = 61 Now, following the pattern: • 61×2 = 122 Conclusion: The missing number is 122.