What will be the next number in the following series?Q) 11404, 11014, 10414, 1414, ?

The given series is: 11404, 11014, 10414, 1414, ?

To find the pattern, let's look at the differences between consecutive numbers:

11014 - 11404 = -390 10414 - 11014 = -600 1414 - 10414 = -9000

The differences don't form a consistent pattern, so let's try another approach.

If we look closely, we can see that each number in the series is 1000 less than the square of a certain number:

11404 = 107^2 + 1000 11014 = 105^2 + 1000 10414 = 102^2 + 1000 1414 = 38^2 + 1000

The numbers being squared (107, 105, 102, 38) decrease by 2, 3, and 64 respectively. This doesn't form a consistent pattern either.

However, if we look at these numbers as two-digit numbers (10, 7), (10, 5), (10, 2), (3, 8), we can see a pattern: the tens digit decreases by 0 each time, and the units digit decreases by 2, 3, and 5 respectively.

So, if we continue this pattern, the next decrease in the units digit should be 7 (following the prime numbers 2, 3, 5, 7).

This means the next two-digit number should be (3, 1), or 31.

So, the next number in the series should be 31^2 + 1000 = 961 + 1000 = 1961.