Question

In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.

The combined average workforce of sites 'P' and 'Q' is 70 workers. The total number of female workers at both sites is 80, with their distribution between sites 'P' and 'Q' being in the ratio of 11:9, respectively. It is also given that site 'Q' has a total of 108 workers.

Quantity-I: The total number of male workers at site ‘P’

Quantity-II: The total number of male workers at site ‘Q’

A Quantity-I > Quantity-II Correct Answer Incorrect Answer
B Quantity-I < Quantity-II Correct Answer Incorrect Answer
C Quantity-I = Quantity-II or no relation Correct Answer Incorrect Answer
D Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

Solution

ATQ, Let the number of females in site ‘P’ and site ‘Q’ be ‘11x’ and ‘9x’, respectively So, 9x + 11x = 80 Or, 20x = 80 Or, x = (80/20) = 4 So, number of females in site ‘P’ = 11 × 4 = 44 And, number of females in site ‘Q’ = 9 × 4 = 36 Total number of males in sites ‘P’ and ‘Q’ = 70 × 2 = 140 Number of males in site ‘Q’ = 108 – 36 = 72 So, number of males in site ‘P’ = 140 – 72 = 68 So, Quantity I = 68 And, Quantity II = 72 So, Quantity I < Quantity II

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