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Math Expert V
Joined: 02 Sep 2009
Posts: 58340
If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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Difficulty:   15% (low)

Question Stats: 78% (01:21) correct 22% (01:25) wrong based on 250 sessions

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Tough and Tricky questions: Decimal.

If j and k each represent positive single digits, and y = 2.j3k, what is y rounded to the nearest tenth?

(1) j > k
(2) If y is rounded to the nearest hundredth, the result is 2.74.

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Intern  Joined: 10 Jul 2014
Posts: 40
Concentration: Technology, Strategy
Re: If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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If j and k each represent positive single digits, and y = 2.j3k, what is y rounded to the nearest tenth?

We need to know the value of j (either before or after rounding of y).

(1) j > k
j can be any value. Not Sufficient.

(2) If y is rounded to the nearest hundredth, the result is 2.74.
Result is 2.74. Value of j before rounding was 6. Sufficient.
Manager  Joined: 23 Aug 2012
Posts: 73
Concentration: Technology
GMAT 1: 710 Q47 V40 Re: If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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2
pairakesh10 wrote:

If j and k each represent positive single digits, and y = 2.j3k, what is y rounded to the nearest tenth?

We need to know the value of j (either before or after rounding of y).

(1) j > k
j can be any value. Not Sufficient.

(2) If y is rounded to the nearest hundredth, the result is 2.74.
Result is 2.74. Value of j before rounding was 6. Sufficient.

Hi Pairakesh10

The value of j before the rounding would still be 7 not 6. Statement two only tell us that k>5.
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If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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2
Bunuel wrote:

Tough and Tricky questions: Decimal.

If j and k each represent positive single digits, and y = 2.j3k, what is y rounded to the nearest tenth?

(1) j > k
(2) If y is rounded to the nearest hundredth, the result is 2.74.

Rounding off a number to nearest tenth digits depends on the Hundredth Digit of number and Tenth digit of number so we need to know the value of j to answer the question

Statement 1: j>k
Case1: j = 3, k = 4 and Rounded Off number y = 2.3
Case2: j = 4, k = 5 and Rounded Off number y = 2.4
NOT SIFFICIENT

Statement 2: If y is rounded to the nearest hundredth, the result is 2.74
i.e y may be either 2.73k where k is greater than 4
or y may be 2.74k where k is Less than 5

But since j= 7 therefore y rounded to the nearest tenth will be 2.7, Hence,
SUFFICIENT

Bunuel or Engr2012 : Please shift the question in DS forum
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GRE 1: Q169 V154 Re: If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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Great Question
Here, rounding y to nearest tenths will result in 2.J (as the next digit is 3)
Thus we need to get J. We don't to find K
Statement 1
J>k
Clearly since multiple values of j can be computed from this=> This statement is insufficient
Statement 2
From this statement we can conclude two things
1)J must be 7
2)k must be greater than 4

As we already know that we don't need k we just need J and we have got J as 7
Thus this statement is sufficient to say that Y rounded to nearest tenths would result in 2.7
hence this statement is sufficient

Hence B
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Re: If j and k each represent positive single digits, and y = 2.j3k, what  [#permalink]

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_________________ Re: If j and k each represent positive single digits, and y = 2.j3k, what   [#permalink] 01 Mar 2018, 14:13
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