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

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Manager
Joined: 15 Dec 2015
Posts: 115
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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07 Aug 2017, 06:34
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Difficulty:

25% (medium)

Question Stats:

90% (01:39) correct 10% (01:20) wrong based on 29 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.
Senior Manager
Joined: 06 Jul 2016
Posts: 364
Location: Singapore
Concentration: Strategy, Finance
Re: What is the value of x + y? (1) When x is multiplied by 6, the result  [#permalink]

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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.

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

Can you please check this question? Unless I'm missing something.
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Manager
Joined: 15 Dec 2015
Posts: 115
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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07 Aug 2017, 07:06
1
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.

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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