**Directions (1-15): A question is given followed by the information in three statements. You have to decide the information in which of the statements is necessary and sufficient to answer the question and mark answer accordingly.**

**Q1. Who among men, women or boys will complete same piece of work the fastest?**

**I. 9 men and 8 women can complete the piece of work in 18 days.**

**II. 12 men and 9 boys can complete the same piece of work in 24 days.**

**III. 10 women and 9 girls can complete the same piece of work 15 days.**

(a) Any two of the three

(b) All I, II and III

(c) Both I and II

(d) Both II and III

(e) Question cannot be answered even with the information given in all three statements

**Q2. What is the principal?**

**I. The simple interest accrued on that sum at the rate of 12% per annum in 2 yr is Rs. 360 less than the compound interest on the same sum at 12% per annum in 2 yr.**

**II. The sum doubles itself in 10 yr at 10% per annum rate of simple interest.**

**III. The compound interest on the sum in 2 yr at the rate of 12% per annum is Rs. 6360.**

(a) I or III

(b) Both I and III

(c) Both I and II

(d) Both II and III

(e) None of these

**Q3. What is the speed of a boat in still water?**

**I. The boat covers 12 km in 2 h downstream.**

**II. The boat covers the same distance in 4 h upstream.**

**III. The speed of the stream is one-third that of the boat in still water.**

(a) Both I and II

(b) I and either II or III

(c) All I, II and III

(d) The question cannot be answered even with the information given in all three statements

(e) None of the above

**Q4. Gupta borrowed a sum at compound interest. What is the amount returned in 2 yr?**

**I. The rate of interest is 5% per annum.**

**II. The simple interest incurred on the sum in 5 yr is Rs. 600.**

**III. The borrowed sum is ten times the amount earned at simple interest in 2 yr.**

(a) Only I

(b) Only II

(c) Both II and III

(d) Either I or III

(e) All I, II and III

**Q5. What is the average age of the six members A, B, C, D, E and F in the family?**

**I. Total age of D and E is 14 yr.**

**II. Average age of A, B, C and F is 50 yr.**

**III. Average age of A, B, D and E is 40 yr.**

(a) Both I and II

(b) Both I and III

(c) Both II and III

(d) All, I and II and III

(e) None of these

**Q6. In how many days will B alone complete the work?**

**I. A and B together can complete the work in 8 days.**

**II. B and C together can complete the work in 10 days.**

**III. A and C together can complete the work in 12 days.**

(a) Both I and II

(b) Both II and III

(c) All I, II and III

(d) Question cannot be answered even with the information given in all three statements

(e) None of the above

**Q7. How much profit did the company earn in the year 2002?**

**I. The company earned 40% more profit in the year 2003 than that in the year 2001.**

**II. The company earned a total profit of Rs. 20 crores in the years 2001 and 2002 taken together.**

**III. In the year 2003, the company earned 80% profit of that in 2002.**

(a) Any two of I and II or III are sufficient

(b) Either I and II or II and III are sufficient

(c) I and II or III are sufficient

(d) All I, II and III are necessary to answer the question

(e) None of the above

**Q8. In a partnership business of A, B and C what profit did B get at the end of 2 yr?**

**I. A and B started the business by investing some amount.**

**II. C joining after 6 months with Rs. 4 lakhs.**

**III. After two years, A’s share in profit was Rs. 60000.**

(a) Both I and II are sufficient

(b) Both II and III are sufficient

(c) Either I or II and II are sufficient

(d) All I, II and III are necessary to answer the question

(e) The question cannot be answered even with all I, II and III

**Q9. What is the area of the hall?**

**I. Material cost of flooring per sq metre is Rs. 250.**

**II. Labour cost of flooring the hall is Rs. 3500.**

**III. Total cost of flooring the hall is Rs. 14500.**

(a) Both I and II

(b) Both II and III

(c) All I, II and III

(d) Any two of the three

(e) None of these

**Q10. What is the volume of the cylindrical tank?**

**I. Area of the base is X m.**

**II. Height of the tank is Y m.**

**III. Diameter of the base is equal to height of the tank.**

(a) Both I and II

(b) Both II and III

(c) Both I and III

(d) All I, II and III

(e) Any two of these

**Q11. How many workers are required for completing the construction work in 10 days?**

**I. 20% of the work can be completed by 8 workers in 8 days.**

**II. 20 workers can complete the work in 16 days.**

**III. One eighth of the work can be completely by 8 workers in 5 days.**

(a) Both I and II

(b) Both II and III

(c) Only I

(d) Only III

(e) Any one of these

**Q12. What is the average weight of girls in the class?**

**I. Average weight of all the 60 students is 42 kg.**

**II. Average weight of boys is 43 kg.**

**III. Total weight of all girls together is 1144 kg.**

(a) Any two of these

(b) All I, II and III

(c) Both I and II

(d) Both II and III

(e) Question cannot be answered even with the information given in all three statements

**Q13. What the selling price of the T.V. set if no discount is offered?**

**I. Profit earned was 20%.**

**II. Had 10% discount been offered price the profit would have been Rs. 1200.**

**III. Cost price is Rs. 15000.**

(a) Any two of the three

(b) Both I and II

(c) Both I and III

(d) Both II and III

(e) None of these

**Q14. What is the speed of the train?**

**I. Length of the platform is 150% of the length of the train.**

**II. The train crosses the platform in 25 s.**

**III. The train crosses the signal pole in 10 s.**

(a) All I, II and III

(b) I and either II or III

(c) Both II and III

(d) Any two of the three

(e) Question cannot be answered even with the information given in all three statements

**Q15. How many children are there in the class?**

**I. 20% children are there in the class who speak Hindi.**

**II. 44 children can speak languages other than Hindi.**

**III. There are 30 boys in the class.**

(a) All I, II and III

(b) Any two of the three

(c) II and either I or III

(d) Both I and II

(e) None of the above

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