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Mrs. Brown is dividing 50 students into 3 groups for a class project. 15 Jan 2020, 02:20
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A
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25% (medium)

Question Stats:

71% (01:07) correct 29% (01:23) wrong based on 49 sessions

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Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?

(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.

(2) The smallest group contains 6 children.
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A
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Mrs. Brown is dividing 50 students into 3 groups for a class project. 15 Jan 2020, 08:34
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given
a+b+c=50
#1
The total number of children in the two smaller groups is equal to the number of children in the largest group
a+b= c
we get 2c=50
c=25
sufficient
#2
The smallest group contains 6 children
insufficient
IMO A


Bunuel
Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?

(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.

(2) The smallest group contains 6 children.
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Mrs. Brown is dividing 50 students into 3 groups for a class project. 16 Nov 2022, 12:05
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A+B+C=50
A+B=C
C+C=50
C=25
Statement I alone is sufficient.

Statement II: A=6

6+B+C=50

Value of C cannot be derived.
Statement II alone is not sufficient.
Answer is option A

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Mrs. Brown is dividing 50 students into 3 groups for a class project. 16 Nov 2022, 14:50
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Bunuel
Mrs. Brown is dividing 50 students into 3 groups for a class project. How many children are in the largest group?

(1) The total number of children in the two smaller groups is equal to the number of children in the largest group.

(2) The smallest group contains 6 children.
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Question Stem Analysis:

We are told that 50 students are being divided into three groups. We must determine the number of students in the largest group.

Statement One Alone:

\(\Rightarrow\) The total number of children in the two smaller groups is equal to the number of children in the largest group.

Let L be the number of children in the largest group and let A and B denote the number of children in the remaining two groups. Thus, A + B + L = 50.

We are told that the combined number of children in the two smaller groups is equal to the number of children in the largest group, which means A + B = L. Substituting L = A + B in the equation, we get:

A + B + L = 50

L + L = 50

2L = 50

L = 25

Statement one alone is sufficent.

Eliminate answer choices B, C, and E.

Statement Two Alone:

\(\Rightarrow\) The smallest group contains 6 children.

If one of the groups contain 7 children, then the largest group contains 50 - (6 + 7) = 37 children.

If one of the groups contain 8 children, then the largest group contains 50 - (6 + 8) = 36 children.

Since there are more than one possible values for the number of children in the largest group, statement two alone is not sufficient.

Answer: A
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