The HCF of 14, 28, and 42 is 14, as it is the largest number that divides all three.

The HCF of 24 and 36 is 6, as it is the largest number that divides both.

The HCF of 56, 98, and 42 is 14, as it is the largest number that divides all three.

The HCF of 81 and 27 is 27, as it is the largest number that divides both.

The LCM of 12, 15, and 20 is 60, as it is the smallest number that is a multiple of all three.

The LCM of 4 and 5 is 20, as it is the smallest number that is a multiple of both.

The LCM of 6 and 8 is 24, as it is the smallest number that is a multiple of both.

The LCM of 6, 8, and 12 is 24, as it is the smallest number that is a multiple of all three.

The LCM of 8, 12, and 15 is 120, as it is the smallest number that is a multiple of all three.

The LCM of 9 and 21 is 63, as it is the smallest number that is a multiple of both.

Arc length = (θ/360) * 2πr = (60/360) * 2π(3) = (1/6) * 6π = π ≈ 3.14 m.

This is the Fibonacci sequence where the next number is the sum of the two preceding ones: 3 + 5 = 8.

The pattern is that each number is multiplied by 2. 20 * 2 = 40.

The mode of the data set is 20, as it appears most frequently.

The sequence doubles each time, so the next number is 32.

The sequence doubles each time, so the next term is 32.

Profits in Q1 were $2000 and in Q2 were $2300. Percentage increase = ((2300 - 2000) / 2000) * 100 = 15%.

Perimeter = 2 × (length + width) = 2 × (10 m + 4 m) = 28 m.

Perimeter = 4 × side = 4 × 4 m = 16 m.

Perimeter = side1 + side2 + side3 = 7 cm + 5 cm + 9 cm = 21 cm.

The product of the roots is c/a = -10/1 = -10.

The product of the roots is c/a = 6/1 = 6.

The product of the roots is given by c/a = 10/1 = 10.

The product of the roots is given by c/a = 6/1 = 6.

The relationship is HCF * LCM = a * b, which holds for any two integers a and b.

12345 mod 7 = 4, so the remainder is 4.

25 divided by 4 gives a quotient of 6 and a remainder of 1.

29 divided by 5 is 5 with a remainder of 4.

37 divided by 5 gives a quotient of 7 and a remainder of 2.

45 divided by 7 is 6 with a remainder of 3.