Question:
The sum of prime numbers that are greater than 60, but less than 70 is:
The sum of prime numbers that are greater than 60, but less than 70 is:
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Only 61 and 67 are prime between 60 and 70; add them together.
Updated On: Jul 15, 2026
- 128
- 191
- 197
- 260
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: List the numbers strictly between 60 and 70.
These are 61, 62, 63, 64, 65, 66, 67, 68, 69.
Step 2: Check each number for primality.
61: not divisible by 2, 3, 5 or 7, so it is prime.
62: divisible by 2 (\(2 \times 31\)), not prime.
63: divisible by 3 and 7 (\(7 \times 9\)), not prime.
64: divisible by 2 (\(2^6\)), not prime.
65: divisible by 5 (\(5 \times 13\)), not prime.
66: divisible by 2 and 3, not prime.
67: not divisible by 2, 3, 5 or 7, so it is prime.
68: divisible by 2, not prime.
69: divisible by 3 (\(3 \times 23\)), not prime.
Step 3: List the primes found.
Only 61 and 67 are prime in this range.
Step 4: Add the primes.
Sum \(= 61 + 67 = 128\).
Step 5: Rule out the other options.
Options 2, 3 and 4 (191, 197, 260) do not match this sum, so they are wrong.
These are 61, 62, 63, 64, 65, 66, 67, 68, 69.
Step 2: Check each number for primality.
61: not divisible by 2, 3, 5 or 7, so it is prime.
62: divisible by 2 (\(2 \times 31\)), not prime.
63: divisible by 3 and 7 (\(7 \times 9\)), not prime.
64: divisible by 2 (\(2^6\)), not prime.
65: divisible by 5 (\(5 \times 13\)), not prime.
66: divisible by 2 and 3, not prime.
67: not divisible by 2, 3, 5 or 7, so it is prime.
68: divisible by 2, not prime.
69: divisible by 3 (\(3 \times 23\)), not prime.
Step 3: List the primes found.
Only 61 and 67 are prime in this range.
Step 4: Add the primes.
Sum \(= 61 + 67 = 128\).
Step 5: Rule out the other options.
Options 2, 3 and 4 (191, 197, 260) do not match this sum, so they are wrong.
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