If product of two prime numbers A and B (A < B) is 221, then what is the value…
2021
If product of two prime numbers A and B (A < B) is 221, then what is the value of (4A − 3B)?
- A.
-1
- B.
1
- C.
-2
- D.
2
Attempted by 29 students.
Show answer & explanation
Correct answer: B
Step 1: Find the prime factors of 221. By checking the divisibility of prime numbers starting from 2, 3, 5, 7, etc., we find that 13 × 17 = 221. Both 13 and 17 are prime numbers.
Step 2: Assign the values to A and B based on the condition given in the question: A < B. Therefore, A = 13 and B = 17.
Step 3: Substitute these values into the given expression (4A - 3B).
4(13) - 3(17) = 52 - 51 = 1.
Final Answer: Option B