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GMAT Club Around The World!!! What is the value of y? (1) When y is mu

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Bunuel
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GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:00
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What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.
(2) When y is multiplied by 3, the result is between 19 and 23.




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E
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:14
Since it is not mentioned that y is and integer, indefinite values are possible.

(1) When y is multiplied by 6, the result is between 40 and 45.
If y = 7, 6*7 = 42
If y = 7.1, 7.1*6 = 42.6

Insufficient


(2) When y is multiplied by 3, the result is between 19 and 23.
If y = 7, 7*3= 21
If y = 7.1, 7.1*3 = 21.3

Insufficient

Combining 1 & 2
We can still use the same examples and the answer will be indefinite.

Insufficient

IMO Option E
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:15
What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.
(2) When y is multiplied by 3, the result is between 19 and 23.


statement 1 6.66<y < 7.5 we can have multiple values of y so insufficinet

statement 2 6.33< y<7.66 , we can have multiple values of y so insufficinet


combining statement 1 and statement 2 6.33 < y < 7.5 still y can have multiple values so the
answer is e)
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GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   Updated on: 16 Jan 2021, 00:04
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Bunuel wrote:
What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.
(2) When y is multiplied by 3, the result is between 19 and 23.



(1) Y can be 7 by 6 then 42

Y can be 7.1 by 6 then 42

Insufficient.

(2) There is only one multiple of 3 between 19 and 23; 7;
If is multiplied by 7.1
Sufficient.

The answer is E

Originally posted by MHIKER on 31 Dec 2020, 10:18.
Last edited by MHIKER on 16 Jan 2021, 00:04, edited 1 time in total.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:33
IMO D

(1) When y is multiplied by 6, the result is between 40 and 45.

When y = 7 .
6*7 = 42.

(2) When y is multiplied by 3, the result is between 19 and 23.

WHEN y = 7

= 3 * 7 = 21.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:44
Ans E

We need to get a definite value for Y

St1: 40 < 6Y < 45 ... Y can be 7 or 7.1 or 6.9

St 2 : 19 < 3Y < 23 ....Y can be 7 , 6.9 or 7.1

Combined...Y can be 7, 7.1 or 6.9 ...

No definite Value for Y

Hence Insufficient.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 10:45
I think the answer is D

(1) When y is multiplied by 6, the result is between 40 and 45. This means that the number is multiple of 6, so the number must be 42, that means y equals to 7....So, statement 1 is sufficient
(2) When y is multiplied by 3, the result is between 19 and 23. This means that the number is multiple of 3, so, the number must be 21, that means y equals to 7...So, statement 2 is also sufficient
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 11:23
IMO D

Que: y?

(1) When y is multiplied by 6, the result is between 40 and 45.
40 <= 6y <= 46
possible values of 6y = {42}
=> y = 42/6 = 7
SUFFICIENT

(2) When y is multiplied by 3, the result is between 19 and 23.
19 <= 3y <= 23
possible values of 3y = {21}
=> y = 21/3 = 7
SUFFICIENT
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 11:44
Y is not an integer.
So I guess that y can get a lot of value for 1 and for 2. Like 7 and 7,01 for instance

So PUSH E
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 14:01
What is the value of y?

Stat1: When y is multiplied by 6, the result is between 40 and 45.
y can be 41/6, 7, 43/6, 44/6. Not sufficient

Stat2:When y is multiplied by 3, the result is between 19 and 23
y can be 20/3, 7, 22/3. Not sufficient

Combining stat 1 and 2, y= 7 or 22/3. So, Not sufficient

So, I think E. :)
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 15:47
We need a specific value of y.
Statement (1) When y is multiplied by 6, the result is between 40 and 45.
This implies \( \frac{40}{6}< y <\frac{45}{6}\) i.e. \(6.67<y<7.5\)
Infinite values of y exist in this range. So Statement 1 is not sufficient.
(2) When y is multiplied by 3, the result is between 19 and 23.
This implies\( \frac{19}{3}< y <\frac{23}{3}\) i.e. \(6.33<y<7.67\)
Infinite values of y exist in this range. So Statement 1 is not sufficient.

Combining 1 and 2 we get \(6.67<y<7.5\).
We do not get a unique value for y so the answer is E.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 20:42
a) 40 < 6y < 45

Y could an integer: 7
Y could be a non-integer: 7.2
Not sufficient

b) 19 < 3y < 23

Y could an integer: 7
Y could be a non-integer: 7.2
Not sufficient

Answer E, as we can get the same two values in both statements.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   31 Dec 2020, 23:14
What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.
- y could be 7, but y could also be 7.1.
Insufficient.

(2) When y is multiplied by 3, the result is between 19 and 23.
- y could be 7, but y could also be 7.1.
Insufficient.

Combine: We still have multiple possibilities.

Answer E.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   01 Jan 2021, 10:18
Correct Answer E

What is the value of y?
No Constrain

(1) When y is multiplied by 6, the result is between 40 and 45.
40<6y<45
6.6<y<7.5
Infinite value of y possible
- Not Sufficient

(2) When y is multiplied by 3, the result is between 19 and 23.
19<3y<23
6.3<y<7.6
Infinite value of y possible
- Not Sufficient
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   02 Jan 2021, 19:41
We have to find the value of y using the information given in statement
y could be any number including fractions, integers, decimals

Statement 1
6y is between 40 and 45
40 < 6y < 45 ——— Divide by 6
40/6 < y < 45/6
6.66 < y < 7.5
There could be many values of y in the given range so not Sufficient

Statement 2
3y is between 19 and 23
19 < 3y < 23 ———Divide by 3
19/3 < y < 23/3
6.33 < y < 7.66
There could be many values of y in the given range so not sufficient

Now combining the information in statement 1 and 2 we will get 6.33 < y < 7.66
Again y can have many values in the given range so not sufficient

Hence the answer will be E
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   03 Jan 2021, 07:17
Bunuel wrote:
What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.
(2) When y is multiplied by 3, the result is between 19 and 23.


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From the first statement, 6y lies between 40 and 45. Since y is not an integer, so the value of y can not be confirmed. Insufficient.

From the second statement, 3y lies between 19 and 23. Since y is not an integer, so the value of y can not be confirmed. Insufficient

Also, from the first statement, 3y lies 20 and 22.5. Thus, the second statement is redundant. both statements can not be used to find the value of y.

IMO, option E is the answer.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   15 Jan 2021, 22:45
What is the value of y?

(1) When y is multiplied by 6, the result is between 40 and 45.

40 < 6y < 45

Clearly insufficient b/c y can take on a number of values:
e.g. 7, 7.00001, 7.00000005, 7.30, 7.40

(2) When y is multiplied by 3, the result is between 19 and 23.

19 < 3y < 23

Clearly insufficient b/c y can take on a number of values:
y = 7, 7.00001, 7.00000005

Combo pack:
19 < 3y < 23 --> 38 < 6y < 46
We are back at square one. Y can still take on a bunch of values.
Insufficient.
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink] New post   17 Nov 2022, 04:30
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Re: GMAT Club Around The World!!! What is the value of y? (1) When y is mu [#permalink]
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