79. 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-I : p = 15 Statement-II : q = 10

  1. A. The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone ✓
  2. B. The Question can be answered by using either Statement alone
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question can be answered even without using both the Statements

Correct Answer: A. The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone

Explanation

The possible triplets with HCF=5 and LCM=30 are (30,15,5), (30,10,5), and (15,10,5). Statement I limits the set to exactly (15,10,5), giving a unique product of 750. Statement II limits it to (30,10,5) or (15,10,5), which gives two different products.

Related questions on Arithmetic

Practice more CDS Elementary Mathematics questions