The LCM of two prime numbers p and q is 2231, where p \gt q. What is the value of p-q?
- A. 67
- B. 70
- C. 74 ✓
- D. 81
Correct Answer: C. 74
Explanation
The LCM of two prime numbers is their product, so p \times q = 2231. Factoring 2231 gives 97 \times 23. Since p \gt q, p = 97 and q = 23. Therefore, p - q = 97 - 23 = 74.
Related questions on Arithmetic
- What is the remainder when (17^{25} + 19^{25}) is divided by 18?
- A bottle contains spirit and water in the ratio 1:4 and another identical bottle contains spirit and water in the ratio 4:1. In what rat...
- Let P = 5^5 \times 15^{15} \times 25^{25} \times 35^{35} and Q = 10^{10} \times 20^{20} \times 30^{30} \times 40^{40}. What is the numbe...
- Two students X and Y appeared in a test. The score of X is 20 more than that of Y. If the score of X is 75% of the sum of the scores of X an...
- Question: The product of a natural number N and the number M written by the same digits of N in the reverse order is 252. What is the number...