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What is the three digit number? I. Two-fifth of the number is half of 204. II. 20% of the number is 51.

Q: What is the three digit number? I. Two-fifth of the number is half of 204. II. 20% of the number is 51.

Suppose the number be P. From Statement I. P x 2/5 = 1/2 x 204 ⇒ P x 2/5 = 102 ⇒ P = 102 x 5/2 ⇒ P = 255 From Statement II. P x 20/100 = 51 ⇒ P = 51 x 100/20 ⇒ P = 255 Both statements alone are sufficient to answer the above question.

If the Statement I alone is sufficient to answer the question but the Statement II alone is jot sufficient
If the Statement II alone is sufficient to answer the question but the Statement I alone is not sufficient
If both Statement I and II together are needed to answer the question
If either the Statement I alone or Statement II alone is sufficient to answer the question

Correct Answer: If either the Statement I alone or Statement II alone is sufficient to answer the question

Explanation:

Suppose the number be P.
From Statement I.
P x 2/5 = 1/2 x 204
⇒ P x 2/5 = 102
⇒ P = 102 x 5/2
⇒ P = 255
From Statement II.
P x 20/100 = 51
⇒ P = 51 x 100/20
⇒ P = 255
Both statements alone are sufficient to answer the above question.

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What is the three digit number? I. Two-fifth of the number is half of 204. II. 20% of the number is 51.

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