Let L be the LCM and H be the HCF of two given numbers. L and H are in the ratio 3: 2. If the sum of the two numbers is 45, then what is the product of the numbers?
- A. 243
- B. 486
- C. 504
- D. Cannot be determined due to insufficient data ✓
Correct Answer: D. Cannot be determined due to insufficient data
Explanation
The LCM of two integers must always be an integer multiple of their HCF. A ratio of L:H = 3:2 implies L = 1.5H, which violates this fundamental property. Therefore, such numbers do not exist and the product cannot be determined.
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...