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Examoogle • User • info@examoogle.com • EE-2024-8821
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A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Four boys – Gaurav, Himanshu, Ishan, and Kunal – have different heights.
Who is the shortest?
(I) Ishan is taller than Gaurav but shorter than Kunal.
(II) Himanshu is taller than Gaurav but shorter than Ishan.
Data in Statement II alone is sufficient to answer the question while data in Statement I is not
Data in both statements I and II together are NOT sufficient to answer the question
Data in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Data in Statement I alone is sufficient to answer the question while data in Statement II is not
Data in both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Quick Trick: Combine statements to form a single continuous height order: Statement (I) gives Kunal > Ishan > Gaurav, and Statement (II) gives Ishan > Himanshu > Gaurav. Together, Gaurav is at the bottom in both rules, making him the shortest.
Combine statements to form a single continuous height order: Statement (I) gives Kunal > Ishan > Gaurav, and Statement (II) gives Ishan > Himanshu > Gaurav. Together, Gaurav is at the bottom in both rules, making him the shortest.
Analyze Statement (I) Alone
Statement (I) tells us Ishan is taller than Gaurav but shorter than Kunal. Order: Kunal > Ishan > Gaurav. Since Himanshu's height is not mentioned, we cannot determine who is the shortest among all four boys. Statement (I) alone is insufficient.
Analyze Statement (II) Alone
Statement (II) tells us Himanshu is taller than Gaurav but shorter than Ishan. Order: Ishan > Himanshu > Gaurav. Since Kunal's height is not mentioned, Statement (II) alone is insufficient.
Combine Statements (I) and (II)
Combining both statements: From (I), Kunal > Ishan > Gaurav. From (II), Ishan > Himanshu > Gaurav. Placing Himanshu between Ishan and Gaurav gives the overall height order from tallest to shortest: Kunal > Ishan > Himanshu > Gaurav. Gaurav is conclusively identified as the shortest.
A: Statement II alone is insufficient as Kunal is missing. B: Combining both statements gives a unique answer, so they are sufficient together. D: Statement I alone is insufficient as Himanshu is missing.
C is correct because both statements together establish the complete relative height ranking (Kunal > Ishan > Himanshu > Gaurav), uniquely identifying Gaurav as the shortest.
In data sufficiency problems involving orderings or rankings, always check if any person/element is entirely missing in a single statement. If an element is missing, that single statement cannot give a complete order.