The given question consists of two statements numbered I and II. You must decide whether the data provided in the statements are sufficient to answer the question:
What is the difference between A and B?
Statement I: HCF of two numbers A and B is 5.
Statement II: Ratio of two numbers A and B is 7: 9 respectively.
1.If the data given in both statements I and II together are not sufficient to answer the question.
2.If the data either in statement I alone or in statement II alone are sufficient to answer the question.
3.If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
4.If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
5.If the data given in both statements I and II together are necessary to answer the question.
Correct Answer : 5
Solution :
From statement I: HCF of two numbers A and B is 5.
From statement II: Ratio of two numbers A and B is 7: 9 respectively.
Let the numbers are 7a and 9a respectively where 'a' is the HCF of both the numbers.
From statement I and II:
a = 5
So, A = 7 * 5 = 35
B = 9 * 5 = 45
Therefore, difference between A and B = 45 - 35 = 10
Hence, the data given in both statements I and II together are necessary to answer the question.
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