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We have 1 2 3 4 5 6 for 6 cars and AB always together.
1. B and C are in even place so B and C are in 2 and 4 then 5 6 will be AB we have 1 and 3 left for F and E so this is not sufficient
2. D and E are in odd place. There are two cases: 1. D and E are in 1 and 3 then 1 will be taken or 2. D and E are in 3-5 so A and B must be 1 2 because there is no other place left so 1 is also taken in this case. Then we can come to the conclusion that F can not be in 1 => Sufficient => B
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Correct Answer: B

The 15-Second Logic:
Because Cars A and B are parked next to each other, the "AB Block" must take up exactly one Odd space and one Even space.

Why Statement (2) is Sufficient:

There are only three Odd spaces total (1, 3, and 5).

The AB block takes one Odd space.

Car D takes one Odd space.

Car E takes one Odd space.

Since all three Odd spaces are completely taken, Car F must be parked in an Even space.

Can Car F be parked in space 1? No. Because we get a definitive "No," Statement (2) alone is sufficient.
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A and B are always together, which means if B is odd, A is even and vice versa.

Statement 1:
B and C are parked in even-numbered spaces.
If B is 4 and C is 6, 1 can have F but if B is 2, A can be parked at either 1 or 3. This does not confirm anything about F.
Insufficient

Statement 2:
D and E are parked in odd-numbered spaces
If D or E is at 1, F cannot be parked at 1.
If D and E are parked at 3 and 5, only 1,2,4,6 are available for other cars. Since A and B are next to each other, the only place they can be parked is at 1 and 2. Either way, F cannot be parked at 1.
Sufficient
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Stmt 1 b and c in even pos

B/C in pos 2, C/B in pos 4, A/D can take pos 2 , D/A can take pos 4 , E/F can take either pos 1 or pos 6 , Can't say


stmnt 2 d and e in odd pos

D/E in pos 1 or E/D in pos 3 A and B pos 4 and 5,

D/E in pos 3 and E/D in pos 5 ; A m B in pos 1 and 2

F is not in pos 1 Sufficient

ans b

D/E in pos 3 & e/D in pos 5 A/B in pos 1/2
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Since A and B always sit next to each other one is odd and one is even.

Statement 1: B and C are both even. We can try B=6 A=5, Then F could be 1 since DEF fill 1,3,4
If B=2, then A=1, So F cant be 1. Therefore insufficient

Statement2: D and E both are Odd
If D and E use 2 odd spaces it leaves 1 odd space. F cant be 1 if leftover space is 3 or 5.
If leftover is 1, then D and E sit in 3 and 5 and remaining spaces are 1,2,4,6. But A abd B need to be next to each other and only adjacent pair among the open seats is 1,2 leaving 4 and 6 for C, F. Again F isnt in space 1. Statement 2 is clearly sufficient
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A and B are together which means- AB or BA

1) B and C are at even places- so, B and C can occupy any of 2nd, 4th or 6th place. Since, we have more information about the position of A with B, we can infer that A could occupy any of the odd places - 1,3 or 5 depending on where B is. With these pieces of information, we still are not 100% sure if F can occupy 1st place. It may or may not.

For example, If B is at 2, A is at 3 and C is at 4, then F can be at 1 and D and E can be at 5th or 6th. Or, D or E can be at 1 and F may occupy either 5th or 6th place.

This is not sufficient

2) Similarly, Statement 2 alone would be insufficient since we are only given about D and E's position in this statement and A and B's relative position in the question stem. So, it leaves possibilities open for F's position

However, if we combine the two information:

B can only occupy even places. So, A can only be at one of the odd positions. The other two odd position will have to be occupied by D and E, so F can not take an odd position ie. 1st

So, both statement together are sufficient but neither is sufficient alone.
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Ans: B (stat. 2 alone is sufficient)
Bunuel
Six cars—A, B, C, D, E, and F—are parked in six adjacent spaces numbered 1 through 6, from left to right. Cars A and B are parked next to each other. Is Car F parked in space 1?

(1) Car B and Car C are both parked in even-numbered spaces.
(2) Car D and Car E are both parked in odd-numbered spaces.
Constraint: A and B are parked next to each other
Find "Is F parked in space 1"?

Statement 1: B and C are parked in even-numbered spaces, so they can take
(B, C) = (2,4), (2,6), (4,6), and (4,2): In these cases, A and B can have
(A, B) = (1,2) or (3,2) and so on. As we are not given any constraints regarding other cars, F can take 1 or other spaces available
Statement 1 is not sufficient

Statement 2: D and E parked in odd-numbered spaces
(D, E) = (1,3), (1,5), (5,1): In these cases F is not parked in 1 space
(D, E) = (3,5), (5,3) In these cases F can not be parked in space 1 because we need 2 space next to each other to park A and B. Which can only happen if Space 1 and Space 2 are available for A and B.
So statement 2 is sufficient to answer the question.
Ans: B
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We need a Yes or No answer for F in space 1
S1 we could have in A in 1 Bin 2 and C in 4 meaning F could take 3,5,6 . We could also have A in 3 B in 2 and C in 4 meaning F could take 1 thus S1 is insufficient
S2 We could have A in 4 and B in 5 D in 1 and E in 3 meaning F is in 6 hence No. We could also have A in 2, B in 4, D in 3 and E in 5 and F in 1 hence Yes thus insufficient
S1+S2= Combined F cannot be in 1 based on S2 hence sufficient when combined
Ans C
Bunuel
Six cars—A, B, C, D, E, and F—are parked in six adjacent spaces numbered 1 through 6, from left to right. Cars A and B are parked next to each other. Is Car F parked in space 1?

(1) Car B and Car C are both parked in even-numbered spaces.
(2) Car D and Car E are both parked in odd-numbered spaces.

 


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C - always no

B and C can be placed at 2. 4 6
E/D can be placed at 1, 2, 3

even after combining

if we place B AND C AT 2 AND 4

C AND D at 1 and 3

A at 1

check all others
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The constraint Given in the Question Stem is car A,B should be together.

Let's come up with two possible situations without violating the constraint mentioned in question stem: one where the answer is "Yes" and another where the answer is "No".

Analysing statement 1 individually

Situation 1: FCABDE ---(YES)
Situation 2: ABFCDE ---(NO)

Hence, The statement 1 is not sufficient

Analysing statement 2 individually

Situation 1: Placing D and E at position 1 and 3 respectively.

DCEFAB -----(NO)


In order to get YES, If we try to place Car F in position 1 and Car D and E at other odd positions, we will violate the constraint AB together given in the question stem

F_D_E_ -----(in this case we can't place A and B together).

Since the only possible answer we can get is NO (we are 100% sure).
Therefore the answer to this question is B.
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Ans: I think neither is sufficient to answer the question (E)
Ques: Can carF be in space 1?
Explanation:
Given: carA and carB next to each other

1st Option alone: carB and carC in even numbers (i,e. 2,4,6), but this does not give sufficient info that carF can be in space 1
ordering can be: D B A C E F (F not in space 1)

2nd option alone: carD and carE in odd space (i .e., 1, 3, 1,3,5), but this also does not give sufficient info that carF can be in space 1
ordering can be: D A B E C F(F not in space 1)

Both options together: still, it doesn't provide sufficient info that F can be in space 1
ordering: D B A C E F (b,c in even pos; d,e in odd pos; a and b next to each other; still f not in space 1)
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From the task itself, we learn nothing expect for the fact that AB or BA have to go together. Hence, let's look at the conditions:

(1)
B and C are in even spaces. Let's quickly check if it's possible to both place F in first and not place it:

F B A C D E - here all conditions work, BC are in even, F in first, BA together.
_ _ _ _ _ _
1 2 3 4 5 6

E C A B D F - here all conditions also work, BC are in even, AB together, F is not in first. Therefore, (1) is insufficient.
_ _ _ _ _ _
1 2 3 4 5 6

(2)
D and E are in odd spaces. If F is first, then D and E have to be in 3 and 5:

F x D x E x
_ _ _ _ _ _
1 2 3 4 5 6

In the arrangement above, BA or AB cannot be together, since there're no paired spaces available. That means it's impossible to place F first, and (2) is sufficient.
The answer is B.
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Only statement 1 needs to be correct to have F in block 1. If statement 2 is assumed to be correct, then there is no combination where both D and E are in odd blocks and still have F in block 1 as based on question that A and B are adjecently placed.
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6 spaces and 6 cars.
we know A & B parked next to each other. so AB or BA can be the option.

Evaluating, statement 1 alone.
B & C in even numbered space.
Case 1. B@ 2nd position and C @ 4th
F can be in position where F is in 1st position or not.

We can eliminate option A & D.

Evaluating Statement 2 alone, D & E in odd numbered space.
Case 1, D is @ 3 & E @ 5th .(or D@5 & E@3rd))
AB has to be in 1st and 2 nd either as AB or BA.(since they are adjacent)
.: F can not be in first position.
Case 2, D & E is in the either 1st or 3rd or reverse case situation or D& E is in 1st or 5th or reverse
For all the cases F can not be in 1st space.

Ans: B. Statement 2 alone is sufficient but statement 1 is not.




Bunuel
Six cars—A, B, C, D, E, and F—are parked in six adjacent spaces numbered 1 through 6, from left to right. Cars A and B are parked next to each other. Is Car F parked in space 1?

(1) Car B and Car C are both parked in even-numbered spaces.
(2) Car D and Car E are both parked in odd-numbered spaces.

 


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IMO : B
option 2 alone is sufficient
lets look at option 2 first it says both D and E are at odd places, so that means that from the six places--- 3 are odd and 3 will be even, and from the 3 odd places D and E will occupy two places.
now as per the question both and A and B need to sit together, which mean one will sit at the odd place and the other at the even place ,
which will imply that all the three odd places have already been filled by D, E and A/B.
hence F cant be placed at position 1.
now lets look at option 1
it says that both B and C are placed at the even positions.
but it can have multiple cases where F can be at positiion 1 or not
case 1 : ABCDEF
case 2: FBACDE
hence cant determine the position of F with this
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We know that, there are six cars - A,B,C,D,E,F and are adjacent to each other
Also, A and B are always next to each other.
We need to know if F is parked in space 1

Statement (1) - Car B and Car C are both parked in even numbered spaces
The even spaces are 2 , 4 and 6
In this there are 2 important scenarios possible,

If Car B is in position 2 and Car C is in position 4 or 6 (position doesent matter for car C here)
Here A has to be adjacent to B
1-> If its in position 1, then Car F cant be in position 1
2-> If its in position 3, then Car F can be in position 1

=> Car F can be in space 1 or somewhere else in this condition

Statement(1) alone is not sufficient


Statement(2) - Car D and Car E are both parked in odd-numbered spaces
The odd spaces are 1, 3 and 5

If car D or E is parked in space 1, car F cannot be in space 1
Lets keep car D in 3 and car E in 5 (can be vice versa too)
Here, we need to keep A and B adjacent to each other
This is only possible if A and B occupy space 1 and 2 which makes it impossible to have car F in space 1

Therefore we know that car F cannot be in space 1 at all.

Statement(2) alone is sufficient

B. Statement (2) alone is sufficient, but statement(1) alone is not sufficient
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AB or BA

1. ABFCDE.. No
FBACDE...Yes...Not sufficient

2. If D or E takes the first place then No
Now, if D & E takes 3 & 5th place, & F takes first, A & B cannot be together..So F cannot be in place 1...Sufficient

Ans B
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