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 (ax^{2 }+ bx + c=0) then what is the value of ( p^{2 }+ q^{2 }) ? |
||||

(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 |

You might be interested in this article |

● Data Sufficiency Problem 04 |

● Data Sufficiency Problem 05 |

● Data Sufficiency Tutorial |

● Data Sufficiency Problems |

In sum 9, answer should be c

let k be volume of each vessel.

For vessel 1,

Quantity of A and B are 3x,5x.

3x+5x=8x=k

x=k/8

so, Quantity of A and B are 3k/8, 5k/8

Similary for vessel 2,

Quantities for A and B would be 2k/5, 3k/5

And for vessel 3,

A and B are 4k/7,3k/7.

So now adding A quantites and B Quantities ratio can be found.

Correct me if I am wrong.

Yes the ans of que 9 is C..

The answer to problem 1 should be D,

because it is not mentioned as if ONLY Type 1 and Type 2 products are produced. What if Type 3 is also there ?

& as per your given solution, u have assumed that these are the only two types produced which is not correct.

Yes, the answer should be D .

Since considering only type 1 and type 2 would be an assumption.

WHY IS THE ANSWER OF QUES7 IS C??? PLEASE EXPLAIN!!!!

The answer to problem 10 should be C.

Statement 1 : (N+n)*2*pi*r = n*2*pi*R=5 ;

Statement 2 : r*t = R ;

Solving 1 and 2 ;

R = 5(t-1)/(2*pi*N);

where

r : front radius

R : rear radius

pi : 22/7

n : revolutions by rear wheel

they are asking whether u get the answer i.e a number.They ain’t asking formula

Isnt answer of 4th question C ??

i.e 16C3.