Concept:The HCF of any two numbers must always be a divisor of their LCM.
Explanation:Check each option using the rule that HCF should divide LCM.
Option A: HCF = 15, LCM = 120. 120 ÷ 15 = 8, so 15 divides 120. This statement is true.
Option B: HCF = 20, LCM = 250. 250 ÷ 20 = 12.5, not an integer. So 20 is not a factor of 250. This statement is false.
Option C: HCF = 14, LCM = 70. 70 ÷ 14 = 5, so 14 divides 70. This statement is true.
Option D: HCF = 58, LCM = 290. 290 ÷ 58 = 5, so 58 divides 290. This statement is true.
Only option B fails the condition.
Answer:Option B is NOT true.