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 price of mangoes per kg ? | ||||

(I) 10 kg of mangoes and two dozen of oranges cost Rs 252. | |||||

(II) 2 Kg of mangoes could be bought in exchange for one dozen oranges. | |||||

(a) A | (b) B | (c) C | (d) D |

2. | What are the ages of three brothers ? | ||||

(I) Product of their ages is 21. | |||||

(II) The sum of their ages is not divisible by 3. | |||||

(a) A | (b) B | (c) C | (d) D |

3. | Is n odd ? | ||||

(I) n is divisible by 3, 5, 7 and 9. | |||||

(II) 0 < n < 400 | |||||

(a) A | (b) B | (c) C | (d) D |

4. | Two types of widget, namely type A and B are produced on a machine. The number of machine hours available per week is 80. How many widgets of type A must be produced ? | ||||

(I) One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machines hours. | |||||

(II) The widget dealer wants to supply at least 10 units of type A widget per week and he would not accept less than 15 units of type B widget. | |||||

(a) A | (b) B | (c) C | (d) B |

5. | What are the values of 3 integers a, b and c ? | ||||

(I) ab=8 | |||||

(II) bc=9 | |||||

(a) A | (b) B | (c) C | (d) D |

6. | Given that, X and Y are non-negative .What is the Value of X ? | ||||

(I) 2X + 2Y <= 40 | |||||

(II) X -2Y >= 20 | |||||

(a) A | (b) B | (c) C | (d) D |

7. | 10 boys went to a neighboring orchard. Each boy stole a few mangoes.What is the total number of mangoes they stole ? | ||||

(I) The first boy stole 4 mangoes, the fourth boy stole 16 mangoes, eighth boy stole 32 mangoes and the tenth boy stole 40 mangoes. | |||||

(II) The first boy stole the minimum number of mangoes and the tenth boy stole the maximum number of mangoes. | |||||

(a) A | (b) B | (c) C | (d) D |

8. | What are the values of m and n ? | ||||

(I) n is an even integer, m is an odd integer and m is greater than n. | |||||

(II) Product of m and n is 30. | |||||

(a) A | (b) B | (c) C | (d) D |

9. | What is the value of integer n ? | ||||

(I) n(n+1) = 6 | |||||

(II) 2^{2n }= 16 |
|||||

(a) A | (b) B | (c) C | (d) D |

10 | If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would be profits change ? | ||||

(I) The cost price remains constant. | |||||

(II) The cost price increased by 10%. | |||||

(a) A | (b) B | (c) C | (d) D |

Answer

1. | C | 2. | D |

3. | C | 4. | C |

5. | D | 6. | D |

7. | D | 8. | C |

9. | A | 10. | A |

You might be interested in this article |

● Data Sufficiency Problem 05 |

● Data Sufficiency Problem 03 |

● Data Sufficiency Tutorial |

● Data Sufficiency Problems |

For Q.8

statement 1 directly gives m=15,n=2 (unique values )

The answer should be option (A). Isn’t it ?

No, because you forgot to take values as 1 * 30 = 30 and 5 * 6 !

SO, for a unique answer, we need the other statement as well.

Que 8

Answer should be D

there are 2 values (2,15) and (-6,-5)

no way…-5 is odd..but n should b even

i agree wid rakesh sahu

Answer should be C

Question is “What are the values” not “What is the value”, so answer could contain many values

Q9: Ans should be B

I don’t think so.. according to statement one n cannot be determined . It can be 2 or -3..

in question number 8. if we consider two negative values!?? like (-3,-10),(-5,-6)

In question 6, the answer should be c

since

(I) 2X + 2Y <= 40

X+Y= 20………..X and Y can be (20,0),(22,1),(30,1)…..

from here if we consider the two statement together then we get the unique value of x and y as (20,0)

note: ‘0’ can be considered as it falls within the set of non-negative integers.

In question 6, the answer should be c

since

(I) 2X + 2Y <= 40

X+Y= 20………..X and Y can be (20,0),(22,1),(30,1)…..

from here if we consider the two statement together then we get the unique value of x and y as (20,0)

note: ‘0’ can be considered as it falls within the set of non-negative integers.

you are exactly right. by combining both the statements only one unique solution can be obtained i.e. X = 20, Y= 0

You are considering only integral values but a/c to question you have to consider all the real values which would be infinite.

In Question 7, by using stmt I, we can get the total number of mangoes stolen.

It’s a just a simple AP with a=4 and d=4. Total number of mangoes stolen = 220.

By stmt II alone , we can’t make out anything.

So, answer should be (A).

You assumed it’s an AP, it’s not given it is an AP.

This was designed to fool you, be careful.

ques 2

product of age is =21

only one combination is possible i.e= 7*3*1

and also the sum is not divisle by 3

if i am wrong please tell me..

q no 2 must be the ans A

1,3,7 ages the product of their age is 21…..

No. It could also be 21, 1 & 1