Question: What is the sum of two natural numbers?

Statement-I: LCM of the two numbers is 144.

Statement-II: One of the numbers is 72.

Question

Question

This question was previously asked in

CDS Elementary Mathematics 3 Sep 2023 Official Paper

if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
if the question can be answered by using either statement alone.
if the question can be answered by using both the statements together, but cannot be answered using either statement alone.
if the question cannot be answered even by using both the statements together.

Answer 1

Concept:

For two number a & b

LCM × HCF = a × b

Calculation:

Given that

Statement 1: LCM of the two numbers is 144

Statement 2: One of the numbers is 72

We can see, to find the other natural number, we need HCF also so that we can apply in the relation

LCM × HCF = a × b

∴ The correct answer is option 4

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