**Directions (Q.1-5): Each of the questions below is followed by two statements I and II. You are to determine whether the data given in the statement are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.**

**Give answer**

**(a) Statement I alone is sufficient to answer the question but the statement II alone is not sufficient**

**(b) Statement II alone is sufficient to answer the question but the statement II alone is not sufficient**

**(c) Both the statements I and II together are needed to answer the question**

**(d) Either the statement I alone or statement II alone is sufficient to answer the question**

**Q1. The ages of Anand and Sujeet are in the ratio of 6 : 5. What is the age of Anand?**

I. The ages of Anand and Sandeep are in the ratio fo 10 : 7.

II. After 5 yr, the ratio of Anand’s and Sujeet’s ages will be 7 : 6.

**Q2. What is the three-digit number?**

I. Three-fifth of that number is less than that number by 90.

II. One-fourth of that number is 25% of that number.

**Q3. In how many days 14 men can complete a piece of work?**

I. If 18 women can complete the same piece of work in 24 days.

II. If 28 children can complete the same piece of work in 56 days.

**Q4. What is the salary of A, in a group of A, B, C, D, and E whose average salary is Rs. 65780?**

I. Total of the salaries of B and C is Rs. 88545.

II. Total of the salaries of D and E is Rs. 59020.

**Q5. What is the profit earned by selling a watch for Rs. 15675?**

I. Total cost price of 5 such watches is equal to selling price of 4 such watches.

II. 25% profit is earned by selling each watch.

**Directions (Q6-10): In these questions, a question is given followed by information in three statements. You are to consider the information in all the three statements and decide the information in which of the statements is not necessarily required to answer the question and therefore can be dispensed with. Indicate your answer accordingly.**

**Q6. How many students from institute A got placement?**

**I. Number of students studying in institutes A and B are in the ratio of 3 : 4.**

**II. Number of students who got placement from institute B is 120% of the number of students who got placement from institute A.**

**III. 80% of the students studying in institute B got placement.**

(a) Only I

(b) Only II

(c) Anyone of three

(d) Data is insufficient

(e) None of these

**Q7. What is the monthly income of Mr. X?**

**I. Mr. X spends 85% of his income on various items and saves the remaining amount.**

**II. Monthly saving of Mr. X is Rs. 4500**

**III. Out of the total money spent by Mr. X in a month, one-fifth is spent on food and remaining**

**amount of Rs. 20400 on other items.**

(a) Only II

(b) Only III

(c) Either II and III

(d) Data is insufficient

(e) None of these

**Q8. What is Suchitra’s present age?**

**I. Suchitra’s present age is double the age of her son.**

**II. Ratio of present age of Suchitra to that of her mother is 2 : 3.**

**III. 4 yr hence the ratio between Suchitra’s age and her son’s age will be 13 : 11.**

(a) Only II

(b) Only III

(c) Either I or II

(d) Either II or III

(e) None of these

**Q9. What is Neeta’s share in the profit earned at the end of 2 yr in a joint business run by Neeta, Seeta and Geeta?**

**I. Neeta invested Rs. 85000 to start the business.**

**II. Seeta and Geeta joined Neeta’s business after six months investing amount in the ratio of 3 : 5.**

**III. Total amount investing by Seeta and Geeta is Rs. 2.5 lakh.**

(a) Only II

(b) Only III

(c) Either II and III

(d) All of these

(e) None of these

**Q10. What is the labeled price of the article?**

**I. Cost price of the article is Rs. 500.**

**II. Selling price after offering 5% discount on the labeled price is Rs. 608.**

**III. Profit earned would have been 28% if not discount was offered.**

(a) Only I

(b) Only II

(c) II and III

(d) I and III

(e) I and II

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