Sum of all the prime numbers between 50 to 90 is :

Question

Accepted Answer

To determine the sum of all prime numbers between 50 and 90, we first need to identify the prime numbers within this range. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

The prime numbers between 50 and 90 are: 53, 59, 61, 67, 71, 73, 79, 83, and 89.

Now, let's calculate the sum of these prime numbers:

53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 = 635

Therefore, the sum of all the prime numbers between 50 and 90 is 635, which corresponds to Option 4.

Explanation for why each option is incorrect except Option 4:

1. **Option 1 (485):** This sum is too low. If you add the prime numbers listed above, you will find that the total exceeds 485. Therefore, Option 1 is incorrect.

2. **Option 2 (572):** This sum is also incorrect. Adding the prime numbers between 50 and 90 results in a sum greater than 572. Thus, Option 2 is incorrect.

3. **Option 3 (722):** This sum is too high. The actual sum of the prime numbers in the specified range is less than 722. Hence, Option 3 is incorrect.

By following the instructions and verifying the calculations, we confirm that Option 4 (635) is indeed the correct answer.