Using dividend = divisor × quotient + remainder: Number = 11 × 9 + 5 = 99 + 5 = 104
9+8+7+6+5+4+3 = 42.
Then 4+2 = 6.
Wait, let me recalculate: Sum = 42, which reduces to 4+2=6.
The answer should be D.
Actually 9+8+7+6+5+4+3=42, 4+2=6.
Let numbers be 5x and 7x.
Then 5x + 7x = 120, so 12x = 120, x = 10.
Larger number = 7 × 10 = 70
Odd numbers between 10 and 30: 11, 13, 15, 17, 19, 21, 23, 25, 27, 29.
Count = 10
Let number be n.
Then n(n+1) = 342.
Solving: n² + n - 342 = 0.
Using quadratic formula or testing: 17 × 18 = 306 (no), 18 × 19 = 342 (yes).
So n = 18.
Wait, checking: 17 × 18 = 306, 18 × 19 = 342.
Answer is B.
Even numbers from 2 to 50: 2, 4, 6, ..., 50.
This is an AP with first term = 2, last term = 50, common difference = 2.
Number of terms = 25.
Sum = 25(2+50)/2 = 25 × 26 = 650
Let original number = x.
Then x + 25% of x = 500.
So x + 0.25x = 500, 1.25x = 500, x = 400
Let smaller number = x, larger = 2x.
Then 2x - x = 45, so x = 45.
Numbers are 45 and 90.
Let integers be n-1, n, n+1.
Sum = 3n = 81, so n = 27.
The three integers are 26, 27, 28.
Largest = 28
Let tens digit = x, units digit = y.
Then x + y = 12 and 10x + y = 6y + 6.
From second: 10x = 5y + 6.
Substituting y = 12-x: 10x = 5(12-x) + 6 = 60 - 5x + 6.
So 15x = 66, x = 8, y = 4.
Number = 84