### Discussion :: Problems on Numbers - Data Sufficiency 2 (Q.No.1)

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

Shibi said: (Jan 28, 2011) | |

But we can say the answer will be 52 then how can we tell that we can't be able to get the answer with the clues. |

Swapna said: (Feb 7, 2011) | |

Yes. The answer is 52. And it can be solved with 1 & 3 statements only. |

Anay said: (Apr 27, 2011) | |

The answer can be 63 also so I guess there is enoug amiguity in the question itself. |

Rekha said: (Oct 20, 2011) | |

I m not able to understand the 1st statement. |

Karthik said: (Jan 29, 2012) | |

No, I think the answer is E. Because if you try to solve the statement 1 then you will end up with the same result as that of 2nd and 3rd statement. So you can't solve the problem. |

Vineet Verma said: (Sep 3, 2012) | |

You dont need to be genius to solve this, 41-14=27 and 4-1=3 52-25=27 and 5-2=3 63-36=27 and 6-3=3 74-47=27 and 7-4=3 85-58=27 and 8-5=3 96-69=27 and 9-6=3 |

Riya said: (Nov 28, 2012) | |

But actually they are right because 2 of the data give similar information. So we cannot get the answer. Yes of course we can assume by hit and trial but cannot get the answer from given data. |

Pavithra said: (Apr 18, 2013) | |

Hi. In the first step why have they considered 10 in the equation (10x+y) - (10y-x) please share the information? |

Divya said: (Jan 10, 2014) | |

@Vineet. Just look at the first statement. It is the diff of the 2 digits and interchange of the digits is given as 27, not the given number and interchange is 27. |

Suresh Maidaragi said: (Apr 25, 2014) | |

I hope everyone can solve this, here 1st and 2nd or 1 and 3 statements are more than enough to find the two digit number. Solution: Consider two digit number as xy lets take 1st and 2nd statements xy-yx=27 by trial and error we can take 9 as first digit and 6 as second digit now the number become 96 right so. From statement 1 96-67=27 from statement 2 9-6=3 or we can assume 1st and 3rd statement from 3rd we assure that 96 follows. Therefore option D is correct. |

Shweta said: (Aug 25, 2014) | |

The explanation is not sufficient for me as I know there is no connection between any of the statement. Anyone can clarify it please. |

Mridhula Joju said: (Sep 18, 2014) | |

Even with the first statement we can get both the statements 2 & 3. And from the first statement itself we can get different numbers as the answer. |

Afreen said: (Jan 21, 2015) | |

What is the use of 3rd statement? Can anyone explain about it? |

Kylin said: (May 8, 2018) | |

@Afreen Consider xy as number, then according to 3 number it will be like 1) xy - yx=27 2) x - y=3 3) x>y There are 10 digits 0-9. So according to 2 second and third statement (x - y=3 and x>y). x y xy-yx. 9 6 96-69 = 27 8 5 85-58=27 7 4 74-47=27 6 3 63-36=27 5 2 52-25=27 4 1 41-14=27. |

Nagendra Singh said: (Sep 20, 2018) | |

The correct answer is 2 option. 1 and 3 can give the answer of the question. From statement 1 ( 10x + y) - ( 10y + x ) = 27, 9( x-y) = 27, x-y = 3. From the 1st statement, we get the second statement so no need of a 2nd statement 3 statement:- The unit place is less than 3 by tens place. So we have the condition to check; 1, 4 2, 5 3, 6 4, 7 5, 8 6, 9 By checking all condition we found a number 52. 52 - 25 = 27. The difference of digit is also 3. Difference of unit's place and ten's is also 3 |

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