BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If none of the students are ambidextrous, what percentage of the 20 students in Mr. Henderson's class...

This topic has expert replies
Moderator
Posts: 2524
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Source: Manhattan Prep

If none of the students are ambidextrous, what percentage of the 20 students in Mr. Henderson's class are left-handed?

1) Of the 12 girls in the class, 25% are left-handed
2) 5 of the boys in the class are right-handed

The OA is C
Source: — Data Sufficiency |

Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Ambidextrous means the ability to use right and left hands equally


Total student = right-handed + left-handed students
Let the number of right-handed students = r
Let the number of left-handed students = l


Target question => What percentage of the 20 students in Mr. Henderson's class are left-handed?
What % of the total is l
Total students = boys + girls


Statement 1 => of the 12 girls in the class, 25% are left-handed
Total students = 20, girls = 12; boys = total - girls
Boys = 20 -12 = 8
25% of girls are left-handed
Total left-handed students = left-handed boys + left-handed girls
= (25% of 12) + left-handed boys
Total number of percentage of left-handed boys is unknown. Target question cannot be answered so statement 1 is NOT SUFFICIENT


Statement 2 => 5 of the boys in the class are right-handed
Left-handed boys = total number of boys - 5
Total left-handed boys are unknown, total left-handed girls are also unknown. The available information is not enough to answer the target question. Statement 2 is NOT SUFFICIENT

Combining both statements together =>
From statement 1 => total girls = 12
Total boys = 8
Left-handed girls = 25% of 12 = 3


From statement 2 => right-handed boys = 5
Left-handed boys = 8 - 5 = 3
Total left-handed students = Left-handed boys + left-handed girls
= 3 + 3 = 6
% of left-handed students out of total student = 60/20 * 100/1 = 30%
Combining both statements together ARE SUFFICIENT


Answer = C