Question:
Study the question and the statements given below. Decide whether any information provided in the statement(s) is redundant and/or can be dispensed with, to answer it.
If 7 is added to numerator and denominator each of fraction a/b, will the new fraction be less than the original one?
Statement I: a = 73, b = 103
Statement II: The average of a and b is less than b
Statement III: a - 5 is greater than b - 5
Study the question and the statements given below. Decide whether any information provided in the statement(s) is redundant and/or can be dispensed with, to answer it.
If 7 is added to numerator and denominator each of fraction a/b, will the new fraction be less than the original one?
Statement I: a = 73, b = 103
Statement II: The average of a and b is less than b
Statement III: a - 5 is greater than b - 5
If 7 is added to numerator and denominator each of fraction a/b, will the new fraction be less than the original one?
Statement I: a = 73, b = 103
Statement II: The average of a and b is less than b
Statement III: a - 5 is greater than b - 5
Show Hint
Show algebraically that the new fraction is smaller exactly when a is greater than b, then check which statements establish that relation directly.
Updated On: Jul 14, 2026
- II and either I or III
- Only II or III
- Any two of them
- Any one of them
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Derive condition. (a+7)/(b+7) - a/b = 7(b-a)/(b(b+7)). New fraction is smaller exactly when a>b.
Step 2: Statement II simplifies to a<b, firm No by itself.
Statement III simplifies to a>b, firm Yes by itself.
Statement I gives a=73,b=103, just one instance of a<b already covered by II, so redundant.
Final Answer: Only II or III alone is needed.
Step 2: Statement II simplifies to a<b, firm No by itself.
Statement III simplifies to a>b, firm Yes by itself.
Statement I gives a=73,b=103, just one instance of a<b already covered by II, so redundant.
Final Answer: Only II or III alone is needed.
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