Data Sufficiency Problem Set 3
Somdeb Burman |
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| Each question is followed by two statements. You have to decide whether the information provided in the statements is sufficient for answering the question. |
| Mark A | If the question can be answered by using one of the statements alone, but cannot be answered by using the other statements alone. |
| Mark B | If the question can be answered by using either statement alone. |
| Mark C | If the question can be answered by using both statements together, but cannot be answered by using the either statement alone. |
| Mark D | If the question cannot be answered even by using both the statements together. |
| 1. | What is the number of type-2 widgets produced, if total number of widgets produced is 20,000 ? | ||||
| (I) If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same. | |||||
| (II) The ratio in which type-1 and type-2 widgets are produced is 2 : 1. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 2. | How old is Sachin in 1997 ? | ||||
| (I) Sachin is 11 yr younger than Anil whose age will be a prime number in 1998. | |||||
| (II) Anil’s age was a prime number is 1996. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 3. | What is the total worth of Lakhriram’s assets ? | ||||
| (I) A compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs. 1500 this year. | |||||
| (II) The interest is compounded once every four months. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 4. | How many different triangles can be formed ? | ||||
| (I) There are 16 co-planer straight lines. | |||||
| (II) No two lines are parallel. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 5. | What is the selling price of the article ? | ||||
| (I) The profit on sales is 20%. | |||||
| (II) The profit on each unit is 25% and the cost price is Rs 250. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 6. | What is the cost price of the article ? | ||||
| (I) After selling the article, a loss of 25% on cost price is incurred. | |||||
| (II) The selling price is three-fourths of the cost price. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 7. | If p and q are the roots of the equation (ax2 + bx + c=0) then what is the value of ( p2 + q2 ) ? | ||||
| (I) p + q = -b/a | |||||
| (II) 2pq = c/a | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 8. | If a, b and c are integers, is (a – b + c) > (a + b – c) ? | ||||
| (I) b is negative. | |||||
| (II) c is positive. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 9. | What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together ? (The containers are of equal volume) Assume container volume=volume of liquids | ||||
| (I) The ratio of liquid A to liquid B in the first and second vessels are 3 : 5, 2 : 3 respectively. | |||||
| (II) The ratio of liquid A to liquid B in vessel 3 is 4 : 3. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
| 10 | A tractor traveled a distance of 5 M. What is the radius of the rear wheel ? | ||||
| (I) The front wheels rotates ‘N’ times more than the rear wheel over this distance. | |||||
| (II)The circumference of the rear wheel is ‘t’ times that of the front wheel. | |||||
| (a) A | (b) B | (c) C | (d) D | ||
Answer
| 1. | B | 2. | D |
| 3. | C | 4. | D |
| 5. | A | 6. | D |
| 7. | C | 8. | C |
| 9. | D | 10. | D |
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