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b = would use both interfaces
a = would use one interface
n = would use neither interface

t = b+a+n

"would not use" responses counts all the responses from 'a' and 'n' groups. From 'a' with one response and from 'n' with two responses:
a+2n = 96+48 = 144

(1)
b=60

t = b+a+n = 60+a+n
a+2n = 144

3 unknowns, many solutions

Condition (1) is insufficient

(2)
b=n

t = b+a+n = n+a+n = a+2n = 144

Condition (2) is sufficient

The answer is B
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2 interfaces: A and B
2 opinions: U and Not U
2 reasons: CN and SL

For all Not U,
SL = 96
CN = 48

(A)

There are 3 possibilities,
Both U
One of them U and other not U
Both not U

Combining last 2 is given 96+48
Not we have both U as 60

We can derive total users
This is sufficient

(B) Both not U = Both U
Here we don’t have separation to identify the value of both not U
Hence both U cannot be identified and subsequently the total

(A) is the answer
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Let the total be x people. We already know each user had 2 options in terms of responses hence total responses are 2x
So 2x= would use + would not (48+96)= 2x= would use +144
S1 Let both be b, exactly one be o and neither be n. Meaning x=b+o+n = x= 60+o+n but we do not know both n+o hence insufficient
S2 Says b=o meaning x=2b+o. Since 2b+o is would use then:
2x=x(would use)+144
x=144
Hence B
Bunuel
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


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Bunuel
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


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B = use both interfaces
E = use exactly one interface
N = use neither interface

E + 2N = 144

2) N = B

Total users: B + E + N

Since N = B, B + E + N = E + 2N

And we already know: E + 2N = 144

So the total number of users is 144

1) B = 60

We don't know E or N individually.

For example: N = 20 then E = 104
N = 40 then E = 64

Depending on the value of E, we will get different results of B + E + N

Not sufficient.

Option B
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Two app interface to be tested and two options two choose:
1. Would use it
2. Would not use it
If the tester chose "Would not use it", he/she has to choose exactly one of:
1. Slow loading or
2. Confusing Navigation

Statement 1: 60 people would use both interface.
Statement 2: Would use neither interface = Would use both interface.

A: We are missing lots of information so S1 not sufficient alone --------> Cross out D
B: We don't know exact numbers so it S2 not sufficient alone.
C: 60 people would use both then it means 60 people said they would not use either of app interface. If 60 people who disliked apps have to vote for both interfaces it means 120 votes come from these 60 people.
We have 96 Slow loading and 48 Confusing navigation -----> 144 response. If only 120 of these 144 responses were from 60 people (who disliked both apps) it means 144-120 =24 only 24 people disliked only one of the app interfaces meaning that
60(Who liked both)+60(Who disliked both)+24(Who only disliked one)=144
So 144 people tested the apps.
Ans C
IMO
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Users can be divided into three mutually exclusive groups: users who would use both interfaces, users who would use only one interface, and users who would use neither interface.

When added together, we get the total number of users:

Total = UsersBoth + UsersOne + UsersNone

"would not use" responses: 96+48 = 144
UsersOne votes once in these responses.
UsersNone votes twice in these responses.

UsersOne + 2*UsersNone = 144
UsersOne = 144 - 2*UsersNone

Total = UsersBoth + 144 - 2*UsersNone + UsersNone = 144 + UsersBoth - UsersNone

(1)
UsersBoth = 60

Total = 144 + 60 - UsersNone = 204 - UsersNone

There is no single value for Total.

Insufficient

(2)
UsersBoth = UsersNone

Total = 144 + UsersBoth - UsersBoth = 144

Sufficient

The correct answer is B
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Would not use responses=
96+48 = 144

Both - a
Neither - b
One - c
Total user - a + b + c

Use who gave 1 and 2 nos

C + 2B = 144

Statement A

A= 60

Not sufficient as other variable not found

Statement B

B=A

This will help solve eq.

Statement B alone is sufficient.



Bunuel
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


This question was provided by GMAT Club
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From what we know lets have 4 groups
Use both interfeaces = B
Use only left interface = L
Use only right interface = R
Usee neither of the inteface = N

Then,
Total users => T = B + L + R + N

We also know that,
Slow loading = 96 response
Confusing navigation = 48 response
Total wont use response = 96 + 48 = 144

=> L + R + 2N = 144 -----(A) (L and R count as 1 response and N counts as 2 response)



We are given 2 statements

Statement (1) -> 60 users would use both interfaces

=> B =60

T = 60 + L + R + N
=> T = 60 + (144-2N) + N (From 1)
=> T = 204 - N

Here multiple values satisfy N and T

=> Statement(1) is not sufficient

Statement(2) -> The number who would use neither equals the number who would use both

=> N = B

T = B+L+R+N
=> T = 2B + L + R

From eqn A we know that,
L+R+2N = 144
=> L + R + 2B = 144


=> T = L+R+2B = 144

We now know total number of users

=> Statement(2) is sufficient

B. Statement(2) alone is sufficient, but statement(1) alone is not sufficient
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Let x be number of users. we need to find x
y be number of users would use both interface
z be number of users would use neither interface
t be number of users would use 1 of the 2 interface
-> x = y+z+t
2z+t=96+48=144

From 1, we know y=60 but we don't know about z and t -> not efficient
From 2, we know y=z -> y+z=2y=2z -> x = y+z+t = 144 as always
--> B is efficient

Quote:
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


This question was provided by GMAT Club
for the GMAT World Cup Competition

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Let the interfaces be K and M
Let the users who use both be B and neither be N

Given that 96 slow loading and 48 confusing navigation responses, adding up to 144 total "would not use" cases
So K + M+2N = 144

analysing statements
1) B=60
K+M = 144-2N
60+144-2N + N = 204-N
So N is unknown. Insufficient

2)N=B
K+M=144-2N
144-2N+2N=144
So total is 144.
This is sufficient

B is the answer

Bunuel
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


This question was provided by GMAT Club
for the GMAT World Cup Competition

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I am not getting why it required neither terms question was asked no. of users tested the two interfaces given single interfaces (not use an interface means use other one) and both are given in statement 1 so why it needs it for neither used interface. kindly help me out.
Bunuel
A software company asked a group of users to test two new app interfaces. Each user tested both interfaces and, for each interface, said whether he or she would use that interface. If a user said that he or she would not use an interface, the user selected exactly one of two reasons: confusing navigation or slow loading. Across all such “would not use” responses, slow loading was selected as the reason 96 times, and confusing navigation was selected as the reason 48 times. How many users tested the two interfaces?

(1) 60 users said that they would use both interfaces.
(2) The number of users who said that they would use neither interface was equal to the number of users who said that they would use both interfaces.

 


This question was provided by GMAT Club
for the GMAT World Cup Competition

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odionam
I am not getting why it required neither terms question was asked no. of users tested the two interfaces given single interfaces (not use an interface means use other one) and both are given in statement 1 so why it needs it for neither used interface. kindly help me out.

Please check OE here: https://gmatclub.com/forum/gmat-club-wo ... l#p3803791

For more you can check alternative solutions on previous four pages.

Hope it helps.
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Hi odionam,

The whole thing turns on one line in the stimulus that's easy to slide past: "Each user tested both interfaces and, for each interface, said whether he or she would use that interface."

So every user gives two separate verdicts - one for Interface 1 and one for Interface 2. Saying "I would not use Interface 1" does not mean "so I'll use Interface 2." A user can say no to both. That's exactly why a "neither" group is real and cannot be ignored.

That gives four kinds of users:
- Yes to both (0 "would not use" responses)
- Yes to only one (1 "would not use" response)
- No to both, i.e. neither (2 "would not use" responses)

The 144 responses split as: (exactly one) + 2 × (neither) = 144.

Why Statement 1 alone isn't enough

Statement 1 only fixes both = 60. It says nothing about how the 144 responses divide between the "exactly one" and "neither" groups. Watch two cases that both obey it:

- Neither = 0 - exactly one = 144 - total = 60 + 144 + 0 = 204
- Neither = 40 - exactly one = 64 - total = 60 + 64 + 40 = 164

Same statement, two different totals - so Statement 1 can't pin the answer. The "neither" group is precisely the missing piece. Not sufficient.

Why Statement 2 closes it

Statement 2 says neither = both. Call each one N. Then:

total = both + exactly one + neither = N + (exactly one) + N = (exactly one) + 2N

But (exactly one) + 2N is exactly the 144 responses we were given - so total = 144, no matter what N is. The unknowns cancel. Sufficient.

So the key fix is seeing that "no" to one interface says nothing about the other - which is what keeps the "neither" group alive and makes Statement 2 do the real work.

Answer: B

odionam
I am not getting why it required neither terms question was asked no. of users tested the two interfaces given single interfaces (not use an interface means use other one) and both are given in statement 1 so why it needs it for neither used interface. kindly help me out.

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Thank you so much for clarifying my doubt.
egmat
Hi odionam,

The whole thing turns on one line in the stimulus that's easy to slide past: "Each user tested both interfaces and, for each interface, said whether he or she would use that interface."

So every user gives two separate verdicts - one for Interface 1 and one for Interface 2. Saying "I would not use Interface 1" does not mean "so I'll use Interface 2." A user can say no to both. That's exactly why a "neither" group is real and cannot be ignored.

That gives four kinds of users:
- Yes to both (0 "would not use" responses)
- Yes to only one (1 "would not use" response)
- No to both, i.e. neither (2 "would not use" responses)

The 144 responses split as: (exactly one) + 2 × (neither) = 144.

Why Statement 1 alone isn't enough

Statement 1 only fixes both = 60. It says nothing about how the 144 responses divide between the "exactly one" and "neither" groups. Watch two cases that both obey it:

- Neither = 0 - exactly one = 144 - total = 60 + 144 + 0 = 204
- Neither = 40 - exactly one = 64 - total = 60 + 64 + 40 = 164

Same statement, two different totals - so Statement 1 can't pin the answer. The "neither" group is precisely the missing piece. Not sufficient.

Why Statement 2 closes it

Statement 2 says neither = both. Call each one N. Then:

total = both + exactly one + neither = N + (exactly one) + N = (exactly one) + 2N

But (exactly one) + 2N is exactly the 144 responses we were given - so total = 144, no matter what N is. The unknowns cancel. Sufficient.

So the key fix is seeing that "no" to one interface says nothing about the other - which is what keeps the "neither" group alive and makes Statement 2 do the real work.

Answer: B


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