**Directions (1-5): The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statement(s) is/are sufficient /necessary to answer the questions**

**Q1. Find out the two-digits number, if the tens place digit is greater than unit place digit.**

**I. Sum of digits of the number is 9. **

**II. Ratio of number and interchanged number is 7 : 4**

**III. If the digits are interchanged then difference between interchanged number formed and original number is 27.**

(a) cannot be answered even including all statement

(b) Only II and III

(c) All together are required

(d) Any two are required

(e) Either II or I or III.

**Q2. Arun borrowed a sum which is compounded annually, what is the amount he returned in 2 years? **

**I. Rate of interest is 6% per annum**

**II. Simple interest incurred on the sum in one year is Rs. 600**

**III. The borrowed sum is 10 times the amount earned as simple interest in two years.**

(a) Only statement I and III are sufficient

(b) Only statement II is sufficient

(c) Only statement III is sufficient

(d) Any two are sufficient

(e) Statement II and either I or III are sufficient

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

**I. speed of stream is two-third of speed of boat in still water**

**II. The boat covers 20 km in 2 hours in downstream**

**III. The boat covers 10 km in 5 hours in upstream.**

(a) only statement II is sufficient

(b) Any two are sufficient

(c) I and II or III are sufficient

(d) Only statement III is sufficient

(e) None of these

**Q4. What was the amount of profit earned? **

**I. If no discount is given, profit would be 40%**

**II. 30% discount is offered on marked price. **

**III. Selling price is more than cost price by 40%.**

(a) Only III

(b) All I, II and III

(c) Only II and III

(d) cannot be answered even including all statement

(e) Only I and III

**Q5. What is speed of train? **

**I. The train crosses 300 m long platform in 45 seconds. **

**II. The train crosses another stationary train of same length in 60 seconds. **

**III. The train crosses a single pole in 30 seconds.**

(a) I and II or III

(b) Only I

(c) II and III both

(d) Only III

(e) I and II both

**Directions (6-10): The following questions are accompanied by three statements (A), (B), and (C). You have to determine which statement(s) is/are sufficient /necessary to answer the questions**

**Q6. What is the speed of stream?**

**A) distance covered by boat against the stream in 20h is 200 km**

**B) distance covered by boat in downstream in 20h is 400 km**

**C) speed of boat in downstream is 200% of the speed of boat in upstream**

(a) Only A and B together

(b) Either A and C or B and C

(c) Any two of them

(d) Either B alone or A and C together

(e) All statements are required

**Q7. A boat takes 2 hours to travel from point A to B in still water. To find out the speed upstream, which of the following information is/are required?**

**A. Distance between point A and B.**

**B. Time taken to travel downstream from B to A.**

**C. Speed of the stream of water.**

(a) All are required

(b) Any one pair of A and B, B and C or C and A is sufficient.

(c) Only A and B

(d) Only A and C

(e) None of these

**Q8. What will be total surface area of the given diagram consisting one hemisphere & one cone?**

**A) Curved surface area of hemisphere is ‘x’ cm²**

**B) Volume of the given diagram is ‘y’ cm².**

**C) Ratio of height of cone to radius of hemisphere is 1 : 3**

(a) Only A and B together

(b) Either A and B or B and C

(c) All statements are required

(d) Either B alone or A and C together

(e) Any two of them

**Q9. In how much time A and B together can complete the whole work?**

**A) A and B can complete the work working alternatively starting from A in 16 days**

**B) Ratio of efficiency of A and B is 2 : 1**

**C) C can complete the work alone is 36 days while A and C together can complete the work in 9 days**

(a) Only A and B together

(b) Either A and B or B and C

(c) Either A alone or B and C together

(d) Either B alone or A and C together

(e) Any two of them

**Q10. Find out the two-digit given number?**

**A) If digits are interchanged then difference between new number formed and previous number is 36.**

**B) Sum of digits of the number is 12**

**C) Ratio of the number and interchanged number is 4 : 7**

(a) Only A and B together

(b) Any two of them

(c) Either A and B or B and C

(d) All statements are required

(e) Either B alone or A and C together

**Solutions**

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