Multiple choice

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: What is the present age of Sanjeev?I. Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.III. The present age of Sanjeev is 5 years less than the age of Mohan.

  1. The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.

  3. The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.

  4. The data in all the statements I, II and III are not sufficient to answer the question.

  5. The data in all the statements I, II and III together are necessary to answer the question.
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A Correct answer
Explanation

Statement I relates Sanjeev and Anuj. Statement II provides Anuj's age and relates Vipin to Sanjeev. Together, they allow us to find Sanjeev's age (Anuj=20, Sanjeev=20-4=16). Statement III provides another way to find the age if Mohan's age were known, but it is not needed given I and II.

AI explanation

Evaluating statement I alone, we only know Sanjeev is 4 years younger than Anuj and Anuj's ratio to Vipin, which gives no exact ages. Statement III alone mentions Mohan but provides no values. However, using statement II, Vipin is 1 year older than Sanjeev and Anuj is 20 years old. Using statement I along with statement II, if Anuj is 20, then the ratio of Anuj to Vipin being 4:5 makes Vipin 25 years old, which directly means Sanjeev is 24 years old. Therefore, statements I and II together are sufficient, while III alone is not.

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