OG 2020: Question No. 297
If a and b are integers, and b > 0, does a-1 /b+1 = a/b?
- a = b − 4
- a = –b
| Source | OG 2020 |
| Type | Data Sufficiency |
| Topic | Algebra |
| Sub-Topic | Linear Equations |
| Difficulty | Easy – Medium |
Solution
Steps 1 & 2: Understand Question and Draw Inferences
In this question, we are given
- The numbers a and b are integers
- Also, b > 0
We need to determine whether a-1/b+1 = a/b
Simplifying the given expression above, we get
- ab – b = ab + a
Or, a = -b
Hence, we need to determine whether a = -b or not.
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
As per the information given in statement 1, a = b – 4
- However, from this statement we cannot determine whether a = -b or not.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
As per the information given in statement 2, a = -b
- Therefore, we can say the given expression a-1/ b+1 = a/b is true
Hence, statement 2 is sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
Since we can determine the answer from statement 2 individually, this step is not required.
Hence, the correct answer choice is option B.
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