What is the distance between City A and City C ?

Statement 1 does not give enough information to determine dist between a and c
Statement 2 does not give enough information to determine dist between a and c
On combining 1&2 we still don't know what the distance may be between a and c
The cities if put on a line may look like a__b___c or like b__a_c

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Target question: What is the distance between City A and City C ?

Scan the statements and head straight to . . .

Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:

Case a:

In this case, the answer to the target question is the distance from A to C is 210 km



Case b:

In this case, the answer to the target question is the distance from A to C is less than 210 km

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent

Solution

Steps 1 & 2: Understand Question and Draw Inferences


We are given that:

• Three cities – A, B, and C.

We need to find the:

• Distance between city A and C.

S we do not have much information to infer from, let us now analyse the individual statements.

Step 3: Analyse Statement 1

“The distance between City A and City B is 75 kilometres.”

• From this statement, we cannot find the distance between city A and C.

Thus, statement 1 is not sufficient to answer the question.

Step 4: Analyse Statement 2

“The distance between City B and City C is 135 kilometres.”

• From this statement, we cannot find the distance between city A and C.

Thus, statement 2 is not sufficient to answer the question.

Step 5: Combine Both Statements Together (If Needed)

From statement 1:

• Distance between city A and B = 75 kilometres.

From statement 2:

• Distance between city B and C = 135 kilometres.

Case-1: City A, B, and C are on a straight line and City A is between B and C.


In this case, distance between A and C = 135 – 75 = 60 km

Case-2: City A, B, and C are on a straight line and City A is not between B and C.


In this case, distance between A and C = 135 + 75 = 120 km.

Case- 3: City A, B and C are points of a triangle.


In this case, 135 – 75 < AC < 135 + 75.
Hence, it is not possible to determine the distance between city A and C.
Since we could not find the answer even after combining both the statements together, the correct answer is E.
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(1) We need information for A to C. Insufficient.

(2) We need information for A to C. Insufficient.

Considering Both:

The orientation of C from B or A is not given. It can in between A to B, right to B, if in the right to B then the distance will be 75+135=205 km but it can be downward B then we can't determine the distance. Insufficient.

The answer is E.
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