In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?
A) 5/18 B) 4/9
C) 11/18 D) 17/36
In a certain office 1/3 of the workers
Answer: C) 11/18
Let the total number of workers be x. Then,
Number of women = x/3 and number of men = x – x/3 = 2x/3
Number of women having children = x/18
Number of men having children = x/3
Number of workers having children = (x/18) + (x/3) = 7x/18
Therefore, workers having no children = x – 7x/18 = 11/18 of all workers.
Subject: Arithmetical Reasoning – Verbal Reasoning – Mental Ability
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO