K is a set of five consecutive prime numbers such that the sum of all the elements in K is greater than 200 and less than 300. Which of the following cannot be the sum of the elements in the set K?
271
Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
The only two consecutive whole numbers that are prime numbers are 2 and 3. Otherwise, every second consecutive whole number in sequence is even, and being multiples of 2, they cannot be prime.
Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.
You cannot.If you have any two consecutive numbers, one of them must be odd and the other even. So their sum must be odd and therefore cannot be 702 nor 210
After (3, 5, 7), you can't have any more such "triplets", since one of the three must needs be a multiple of 3.
The sum of 2 consecutive numbers cannot be 118, because you cannot get an even number when you add an even and an odd number.
Numbers which are a power of 2 (1,2,4,8,16,32,64,...) cannot be made by summing consecutive numbers.
Since 13 is not an even number, a list of even numbers cannot start with 13. Perhaps you mean 3 consecutive even numbers greater than 13: 14, 16, 18. Or perhaps you mean 3 consecutive even numbers starting with the digits 1 and 3: 130, 132, 134.
If you mean two consecutive odd numbers then they are 117 and 119
21/4 is not a whole number and it cannot be represented as consecutive whole numbers.
96 cannot lie between two consecutive whole numbers.
Such set of numbers cannot exist.
Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
No. Any three consecutive numbers will have at least one of them which is divisible by 2, which means it cannot be prime. And since 1 is not considered a prime number, it cannot happen.
136 cannot lie between two consecutive whole numbers.
There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.
20 is a whole number and so it cannot lie between two consecutive whole numbers.