2026 · Q79
A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.
Question: LCM of three numbers p, q and r (p > q > r > 0) is 30 and their HCF is 5. What is the product of the three numbers?
Statement Ip = 15.
Statement IIq = 10.
Which one of the following is correct in respect of the above Question and the Statements?
Elementary MathematicsHCF and LCM
- AThe Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question cannot be answered even by using both the Statements together
Explanation
Multiples of 5 with HCF 5 and LCM 30 give the triples (30,15,5), (30,10,5) and (15,10,5), whose products 2250, 1500 and 750 differ. Statement I (p=15) isolates (15,10,5) and fixes the product at 750; statement II (q=10) leaves two triples. One statement alone suffices, option A.