Let p and q be two prime numbers such that p is greater than q. If 319 is…
2023
Let p and q be two prime numbers such that p is greater than q. If 319 is their LCM then the difference of thrice of q and p is:
- A.
1
- B.
0
- C.
4
- D.
9
Attempted by 68 students.
Show answer & explanation
Correct answer: C
Key insight: the least common multiple of two distinct primes equals their product.
Factor 319: 319 = 11 × 29.
Assign p and q using p > q: p = 29 and q = 11.
Compute 3q - p: 3 × 11 - 29 = 33 - 29 = 4.
Final answer: 4.