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If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Sep 2016, 05:19
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If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths? (1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1. (2) When the decimal expression of a/b is rounded to the nearest tenthousandths the value of the tenthousandths digit is 9.
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If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Sep 2016, 05:55
duahsolo wrote: If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?
(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1. (2) When the decimal expression of a/b is rounded to the nearest tenthousandths the value of the tenthousandths digit is 9. Answer D. We are given a = 1 or 2 b could be 1,2,3,.. 10 Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient. Statement 2 : Only fraction that could give the value of tenthousandths digit 9 is 1/7. So, Sufficient.
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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Sep 2016, 05:59
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a < 3; b < 11; a/b rounded to nearest tenths = ?
St1: Rounding to nearest hundredth, a/b = 0._1 Put a = 2 and plug values of b from 3 to 10 > Rounding to the hundredths digit does not result in 1. a = 1; b = 10 > a/b = 0.1 > Not possible a = 1; b = 9 > a/b = 0.11 > Possible a = 1; b = 8 > a/b = 0.13 > Not possible As b decreases value of a/b increases and hundredths digit does not equal to 1 > Only possible value of a/b = 0.11 Value of a/b rounded to nearest tenth = 0.1 Sufficient
St2: Rounding to nearest ten thousandth, a/b = 0._ _ _ 9 We need a recurring values to find this Possible values = 2/3 = 1/6 = 0.6667 > Not possible 2/6 = 1/3 = 0.3333 > Not possible 2/7 = 0.28571 = 0.2857 > Not possible 2/9 = 0.2222; 1/9 = 0.1111 > Not possible 1/7 = 0.14285 = 0.1429 > Possible a/b rounded to the nearest tenth = 0.1 Sufficient
Answer: D



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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Sep 2016, 06:01
abhimahna wrote: duahsolo wrote: If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?
(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1. (2) When the decimal expression of a/b is rounded to the nearest tenthousandths the value of the tenthousandths digit is 9. Answer D. We are given a = 1 or 2 b could be 1,2,3,.. 10 Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient. Statement 2 : Only fraction that could give the value of tenthousandths digit 9 is 1/9. So, Sufficient. Small correction. The above highlighted part must be 1/7.



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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Sep 2016, 06:15
Vyshak wrote: abhimahna wrote: duahsolo wrote: If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?
(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1. (2) When the decimal expression of a/b is rounded to the nearest tenthousandths the value of the tenthousandths digit is 9. Answer D. We are given a = 1 or 2 b could be 1,2,3,.. 10 Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient. Statement 2 : Only fraction that could give the value of tenthousandths digit 9 is 1/9. So, Sufficient. Small correction. The above highlighted part must be 1/7. Yeah, it was a typo. Its 1/7 . Edited the original solution. Thanks
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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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23 Feb 2017, 06:04
Prompt analysis a<3 and b<11
Superset The answer will be a positive single digit.
Translation
In order to find the digit, we need: 1# exact value of a and b. 2# the properties of a/b. 3# two equation to find a and b. Statement Analysis St1: Rounding to nearest hundredth, a/b = 0._1 Put a = 2 and plug values of b from 3 to 10 > Rounding to the hundredths digit does not result in 1. a = 1; b = 10 > a/b = 0.1 > Not possible a = 1; b = 9 > a/b = 0.11 > Possible a = 1; b = 8 > a/b = 0.13 > Not possible As b decreases value of a/b increases and hundredths digit does not equal to 1 > Only possible value of a/b = 0.11 Value of a/b rounded to nearest tenth = 0.1 Sufficient
St2: Rounding to nearest ten thousandth, a/b = 0._ _ _ 9 We need a recurring values to find this Possible values = 2/3 = 1/6 = 0.6667 > Not possible 2/6 = 1/3 = 0.3333 > Not possible 2/7 = 0.28571 = 0.2857 > Not possible 2/9 = 0.2222; 1/9 = 0.1111 > Not possible 1/7 = 0.14285 = 0.1429 > Possible a/b rounded to the nearest tenth = 0.1 Sufficient



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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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09 Mar 2017, 06:15
These type question generally take too much time to solve. Is there a way to solve such questions within 2 minutes?



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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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09 Mar 2017, 06:29
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harsh901105 wrote: These type question generally take too much time to solve. Is there a way to solve such questions within 2 minutes? The quickest way to solve such questions is to learn fractions from 1/2 to 1/25. This will help you get the results in few seconds.
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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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24 May 2017, 02:19
harsh901105 wrote: These type question generally take too much time to solve. Is there a way to solve such questions within 2 minutes? The only way to solve this problem faster than others is to know the value of fractions upto 1/20 & do calculation AFAP.. Even though you will take around 1.5 to 2 minutes with full concentration.. if you get stuck somewhere it will take more time..
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Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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24 May 2017, 10:26
Quick question: I've read somewhere that statements 1 and 2, while they must be analysed separate from each other, they do need to be consistent, meaning that if answer is DEACH, then the solution found must be the same.
Is this not true? Cause this problem goes against that...
Thanks!



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If a is a positive integer less than 3 and b is a positive integer les [#permalink]
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02 Nov 2017, 21:39
Statement 1 and Statement 2 are contradicting each other.
Statement 1 : a = 1, b = 9 Statement 2 : a = 1, b = 7
Both the statements yield diff (a/b) ratios




If a is a positive integer less than 3 and b is a positive integer les
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