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What is the value of x + y? (1) When x is multiplied by 6, the result

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Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 122 [1], given: 71

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
What is the value of x + y? (1) When x is multiplied by 6, the result [#permalink]

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New post 07 Aug 2017, 06:34
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Difficulty:

  25% (medium)

Question Stats:

71% (01:22) correct 29% (00:44) wrong based on 28 sessions

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What is the value of x + y?

(1) When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 and 30.

(2) x and y are distinct integers.
[Reveal] Spoiler: OA

Kudos [?]: 122 [1], given: 71

Senior Manager
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Joined: 06 Jul 2016
Posts: 437

Kudos [?]: 127 [0], given: 98

Location: Singapore
Concentration: Strategy, Finance
GMAT ToolKit User Premium Member CAT Tests
Re: What is the value of x + y? (1) When x is multiplied by 6, the result [#permalink]

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New post 07 Aug 2017, 06:55
DH99 wrote:
What is the value of x + y?

(1) When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 and 30.

(2) x and y are distinct integers.


1) x = \(\frac{41}{6}\) or 7...
y = \(\frac{21}{4}\) or 6...
Insufficient.

2) Insufficient. We don't know the values of x and y.

1+2)
Here is why this question is poorly worded. It's not clear if the numbers are between 40 and 50, inclusive, or exclusive.

If it's inclusive then.

x = 7 or 8
y = 5,6 or 7
x + y = 13 or 14.
Insufficient. Answer is E.

If it's excluding 40, and 50, and 20, and 30 then,
x = 7 or 8
y = 6 or 7
x + y = 14
Sufficient. Answer is C.

Can you please check this question? Unless I'm missing something.
_________________

Put in the work, and that dream score is yours!

Kudos [?]: 127 [0], given: 98

1 KUDOS received
Manager
Manager
User avatar
S
Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 122 [1], given: 71

GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
Re: What is the value of x + y? (1) When x is multiplied by 6, the result [#permalink]

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New post 07 Aug 2017, 07:06
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OA is E.

Explanation:

Considering statement 1:

When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 to 30.

If x and y are integers, in between 40 and 50 numbers that are multiples of 6 are 42 and 48 only. Hence, x can be 42/6 = 7 or 48/6 = 8, i.e. x can be 7 or 8.
In between 20 and 30 numbers that are multiples of 4 are 24 and 28 only. Hence, y can be 24/4 = 6 or 28/4 = 7, i.e. y can be 6 or 7.

Possible values of x + y can be 7 + 6 = 13, 7 + 7 = 14, 8 + 6 = 14 and 8 + 7 = 15. Also x and y can be fractions as well. But we need not check as we already have ambiguity.

Since we are not getting a definite answer from above statement , statement 1 itself is not sufficient to provide the answer.

Considering statement 2:

x and y are distinct integers.

Now there are infinite possibilities for x and y, so we will not get a definite answer.

Since we are not getting a definite answer from above statement , statement 2 also itself is not sufficient to provide the answer.

Considering statements 1 and 2 both :

From statement 1:

x = 7 or 8

y = 6 or 7

From statement 2:

x and y are distinct integers.

⇒ Possible values of x and y are (7,6), (8,6) and (8,7).

⇒ x + y can be 13, 14 or 15.

Since we are not getting a definite answer even after combination of statements 1 and 2 , statements 1 and 2 combined even are not sufficient to provide the answer.

Answer: E.

Kudos [?]: 122 [1], given: 71

Re: What is the value of x + y? (1) When x is multiplied by 6, the result   [#permalink] 07 Aug 2017, 07:06
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