Explanation: The sequence follows the pattern of the squares of odd natural numbers starting from 5: • 5 sq = 25 • 7 sq = 49 • 9 sq = 81 • 11 sq = 121 • 13 sq = 169 • 15 sq = 225 So, the wrong number in the sequence is 36 because it is the square of an even number (6) and does not fit the pattern.

Explanation: A composite number is a number that has more than two factors. A prime number is a number that has exactly two factors: 1 and itself. Now, let’s check each number: 4: Composite (factors: 1, 2, 4) 6: Composite (factors: 1, 2, 3, 6) 8: Composite (factors: 1, 2, 4, 8) 9: Composite (factors: 1, 3, 9) 10: Composite (factors: 1, 2, 5, 10) 11: Prime (factors: 1, 11) 12: Composite (factors: 1, 2, 3, 4, 6, 12) Wrong Number: 11 All numbers in the sequence are composite except 11, which is a prime number.

Explanation: The sequence is: 56, 72, 90, 110, 132, 150 Differences: • 72−56=16 • 90−72=18 • 110−90=20 • 132−110=22 • 150−132=18→ This breaks the increasing pattern of differences. Correct Pattern: After 22, the next difference should be 24. So, 132+24=156, not 150. Wrong Number: 150

Explanation: The sequence is: 4, 9, 19, 39, 79, 160, 319 Differences: • 9−4=5 • 19−9=10 • 39−19=20 • 79−39=40 • 160−79=81→ This breaks the doubling pattern (it should be 80). • 319−160=159 Wrong Number: Instead of 160, it should be 159.

Explanation: Sequence: 10, 14, 28, 32, 64, 68, 132 Pattern: • Add 4, then multiply by 2, alternately: o 10+4=14 o 14×2=28 o 28+4=32 o 32×2=64 o 64+4=68 o 68×2=136 Wrong Number: The last number should be 136, not 132.

Explanation: The sequence is: 125, 123, 120, 115, 108, 100, 84 Prime number pattern: The differences between the numbers are following the pattern of successive prime numbers: • 125−123=2 • 123−120=3 • 120−115=5 • 115−108=7 • 108−97=11(should be next, not 100) The issue: • 108−100=8 breaks the prime number pattern. Conclusion: 100 is the wrong number. It should be 97.