Cognizant Placement Papers Cognizant Aptitude Test Placement Papers 1.
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Cognizant Placement Papers
Cognizant Aptitude Test Placement Papers
- Brian is dividing 50 marbles into 3 groups. How many marbles are in the largest of the three groups?
(1) The sum of the two smaller groups of marbles is equal to the largest group of marbles.
(2) The smallest group contains 6 marbles
Show answer & explanation
Statement (1) alone provides a direct relationship: if the two smaller groups sum to the largest group, and all three groups sum to 50, then the largest group contains exactly 25 marbles (since largest + 2×smallest_sum = 50, meaning largest = 25). Statement (2) alone only tells us the smallest group has 6 marbles, which doesn't uniquely determine the largest group since the remaining 44 marbles can be distributed between the other two groups in multiple ways.
Step-by-step Derivation:
From Statement (1):
Let the three groups be: small, medium, large.
Given: small + medium + large = 50
Also: small + medium = large
Substituting: large + large = 50
→ 2×large = 50
→ large = 25 marbles ✓
From Statement (2):
Given: smallest group = 6 marbles
Remaining: 50 - 6 = 44 marbles for two groups
These 44 can be split as (7,37), (10,34), (20,24), etc.
No unique answer for the largest group ✗