Solution: The smallest prime number is 2.

Solution: LCM = 36.

Solution: HCF = 12.

Solution: Yes, 315 is divisible by 9.

Solution: 100 = 2^{2} × 5^{2}.

Solution: 2 + 3 + 5 + 7 + 11 = 28.

Solution: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Total = 9 factors.

Solution: GCF = 10.

Solution: There are 10 multiples (5, 10, 15, …, 50).

Solution: Yes, 97 is a prime number.

Solution: The smallest 4-digit number is 1000.

Solution: The largest 3-digit number is 999.

Solution: 5 + 4 + 6 = 15.

Solution: 7 × 11 = 77.

Solution: Yes, 129 is divisible by 3.

Solution: HCF = 12.

Solution: LCM = 75.

Solution: The next prime number is 17.

Solution: There are 5 digits.

Solution: 36 = 2^{2} × 3^{2}.

Solution: The smallest multiple is 54.

Solution: 9 + 8 = 17.

Solution: 2 × 4 × 6 × 8 = 384.

Solution: 48 = 2^{4} × 3.

Solution: No, 4 is not a prime number.

Solution: 1 + 2 + … + 10 = 55.

Solution: The smallest odd number is 11.

Solution: 12 × 12 = 144.

Solution: LCM = 24.

Solution: HCF = 12.

Solution: No, 49 is not a prime number.

Solution: There are 8 prime numbers (2, 3, 5, 7, 11, 13, 17, 19).

Solution: The smallest number is 30.

Solution: 6^{2} = 36.

Solution: 25 + 35 = 60.

Solution: The largest even number is 98.

Solution: The next multiple is 130.

Solution: 1 × 2 × 3 = 6.

Solution: HCF = 27.

Solution: Yes, 81 is a perfect square (9 × 9).

Solution: The sum is 180 degrees.

Solution: The smallest 5-digit number is 10000.

Solution: 60 = 2^{2} × 3 × 5.

Solution: 99 – 10 = 89.

Solution: The next prime number is 31.

Solution: 7 × 9 = 63.

Solution: HCF = 12.

Solution: LCM = 24.

Solution: Yes, 121 is a perfect square (11 × 11).

Solution: The smallest prime number is 23.

Solution: 15 + 25 = 40.

Solution: The largest 4-digit number is 9999.

Solution: 24 = 2^{3} × 3.

Solution: 19 – 2 = 17.

Solution: The next multiple is 28.

Solution: No, 77 is not a prime number.

Solution: 7 + 8 + 9 = 24.

Solution: The factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Total = 12 factors.

Solution: The smallest even number is 2.

Solution: 42 = 2 × 3 × 7.

Solution: LCM = 15.

Solution: No, 15 is not a prime number.

Solution: 1 + 3 + 5 + 7 + 9 = 25.

Solution: 4 × 5 = 20.

Solution: There are 50 multiples (2, 4, …, 100).

Solution: 100 + 200 = 300.

Solution: The smallest number is 12.

Solution: The largest prime number is 29.

Solution: 36 = 2^{2} × 3^{2}.

Solution: 8 × 9 = 72.

Solution: LCM = 30.

Solution: No, 30 is not a prime number.

Solution: The sum is 360 degrees.

Solution: The largest 2-digit number is 99.

Solution: The smallest prime number is 53.

Solution: 12 + 18 = 30.

Solution: The smallest number is 10.

Solution: HCF = 100.

Solution: 72 = 2^{3} ×
3^{2}.

Solution: Yes, 64 is a perfect square (8 × 8).

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