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30 Oct 2025, 00:13
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
82% (01:31) correct
18%
(01:31)
wrong
based on 77
sessions
History
Date
Time
Result
Not Attempted Yet
How many first graders have loose teeth?
(1) There are 60 children in the first and second grades combined, and 30 of the children have loose teeth.
(2) The 20 students in second grade makeup 1/3 of the total students in the first and second grades combined, and 9 of the second graders do not have loose teeth
(1) There are 60 children in the first and second grades combined, and 30 of the children have loose teeth.
(2) The 20 students in second grade makeup 1/3 of the total students in the first and second grades combined, and 9 of the second graders do not have loose teeth
30 Oct 2025, 07:11
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Statement 1:
First Grade + Second Grade = 60 students
Total students with loose teeth = 30 students
Not Sufficient
Statement 2:
Second Grade = 20 students = 1/3 * Total students
Total students = 20*3 = 60
First Graders = 60 - 20 = 40 students
9 second graders don't have loose teeth --> 20 - 9 = 11 students have loose teeth
We still don't know how many first graders have loose teeth
Not Sufficient
Statement 1 & 2 combined:
Total students = 60 students
Total students Total students with loose teeth = 30 students
Second graders with loose teeth = 11 students
First graders with loose teeth = 30 - 11 = 19 students
Sufficient
Option C
First Grade + Second Grade = 60 students
Total students with loose teeth = 30 students
Not Sufficient
Statement 2:
Second Grade = 20 students = 1/3 * Total students
Total students = 20*3 = 60
First Graders = 60 - 20 = 40 students
9 second graders don't have loose teeth --> 20 - 9 = 11 students have loose teeth
We still don't know how many first graders have loose teeth
Not Sufficient
Statement 1 & 2 combined:
Total students = 60 students
Total students Total students with loose teeth = 30 students
Second graders with loose teeth = 11 students
First graders with loose teeth = 30 - 11 = 19 students
Sufficient
Option C
30 Oct 2025, 09:56
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Bunuel
We need to find the number of First Graders who have Loose Teeth.
Let’s make a 2x2 matrix
| Loose Teeth | ~ Loose Teeth | Total | |
| First Grade ( FG) | |||
| Second Grade (SG) | |||
| Total |
Statement 1:
(1) There are 60 children in the first and second grades combined, and 30 of the children have loose teeth.
| Loose Teeth | ~ Loose Teeth | Total | |
| First Grade ( FG) | |||
| Second Grade (SG) | |||
| Total | 30 | = (60-30) = 30 | 60 |
Since, we don’t have anything inside the box. We cannot find anything.
Hence, Insufficient
Statement 2:
(2) The 20 students in second grade makeup 1/3 of the total students in the first and second grades combined, and 9 of the second graders do not have loose teeth
| Loose Teeth | ~ Loose Teeth | Total | |
| First Grade ( FG) | = (60-20) = 40 | ||
| Second Grade (SG) | = (20-9) = 11 | 9 | 20 |
| Total | 60 |
20 = (1/3)* (FG + SG)
Hence, FG + SG = 60
Since, we don’t know the total number of loose teeth or ~ Loose teeth.
Hence, Insufficient
Combining both statements 1 and 2, we get
| Loose Teeth | ~ Loose Teeth | Total | |
| First Grade ( FG) | = (30-11) = 19. | = (40-19) = 21 | 40 |
| Second Grade (SG) | 11 | 9 | 20 |
| Total | 30 | 30 | 60 |
We can find the number of First Grade (FG) - Loose Teeth as 19.
Hence, Sufficient
Option C
