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12 Jul 2025, 06:28
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Total employees = M
2/5 of M agreed with Proposal 1 ⇒ Agreed P1 = (2/5)M
Of those, 1/4 also agreed with Proposal 2 ⇒ Agreed P1 & P2 = (1/4)(2/5)M = (1/10)M
people who agreed with both = (1/10)M
Column A:
Employees who did not answer "agree" to both proposals = everyone else
So, Column A = M − (1/10)M = (9/10)M
Column A = 9M/10
Column B:
Employees who did not answer "disagree" to both proposals.
how many did answer "disagree" to both:
People who disagreed with P1 = 1 − 2/5 = 3/5M
Of these, 2/3 agreed with P2 ⇒ So, disagreed P1 and agreed P2 = (2/3)(3/5)M = (2/5)M
-the rest of the 3/5 M (those who disagreed with P1) must have disagreed with P2:
-Disagree P1 and Disagree P2 = (3/5)M − (2/5)M = (1/5)M
So Column B = M − (1/5)M = (4/5)M
Column B = 4M/5
2/5 of M agreed with Proposal 1 ⇒ Agreed P1 = (2/5)M
Of those, 1/4 also agreed with Proposal 2 ⇒ Agreed P1 & P2 = (1/4)(2/5)M = (1/10)M
people who agreed with both = (1/10)M
Column A:
Employees who did not answer "agree" to both proposals = everyone else
So, Column A = M − (1/10)M = (9/10)M
Column A = 9M/10
Column B:
Employees who did not answer "disagree" to both proposals.
how many did answer "disagree" to both:
People who disagreed with P1 = 1 − 2/5 = 3/5M
Of these, 2/3 agreed with P2 ⇒ So, disagreed P1 and agreed P2 = (2/3)(3/5)M = (2/5)M
-the rest of the 3/5 M (those who disagreed with P1) must have disagreed with P2:
-Disagree P1 and Disagree P2 = (3/5)M − (2/5)M = (1/5)M
So Column B = M − (1/5)M = (4/5)M
Column B = 4M/5
Bunuel
12 Jul 2025, 06:35
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Please refer to the table for calculations :
For Column A (the number of employees who did not answer "agree" to both proposals) = M - M/10 = 9M/10
For Column B (the number of employees who did not answer "disagree" to both proposals) = M - M/5 = 4M/5
For Column A (the number of employees who did not answer "agree" to both proposals) = M - M/10 = 9M/10
For Column B (the number of employees who did not answer "disagree" to both proposals) = M - M/5 = 4M/5
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12 Jul 2025, 06:52
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Let M = 100
Let's break Statement 1 :
Agreed to proposal 1 = 2/5 * 100 = 40 people
So people who disagreed to proposal 1 = 100 - 40 = 60 people
Also,
People who agreed with proposal 1 as well as with proposal 2 = 1/4 * 40 = 10 people
So, from this we can say that people who agreed with proposal 1 but not with proposal 2 = 40 - 10 = 30 people
Now, Let's break Statement 2 :
People who disagreed to proposal 1 but agreed with Proposal 2 = 2/3* 60 = 40 people
So, from this we can say that people who disagreed with proposal 1 as well as with proposal 2 = 60 - 40 = 20 people
Now,
1. Number of people who did not answer "agree" to both proposals = Total People - People who agreed to both proposals = 100 - 10 = 90 People
2. Number of employees who did not answer "disagree" to both proposals = Total people - People who disagreed to both proposals = 100 - 20 = 80 People
Now, If we see the option, we'll observe that options are in terms of "M" so, all we have to do is put M = 100 in those options and see which option results in a value that matches our result mentioned above.
For Column A answer is 9M/ 10 and for column B answer is 4M/5.
Let's break Statement 1 :
Agreed to proposal 1 = 2/5 * 100 = 40 people
So people who disagreed to proposal 1 = 100 - 40 = 60 people
Also,
People who agreed with proposal 1 as well as with proposal 2 = 1/4 * 40 = 10 people
So, from this we can say that people who agreed with proposal 1 but not with proposal 2 = 40 - 10 = 30 people
Now, Let's break Statement 2 :
People who disagreed to proposal 1 but agreed with Proposal 2 = 2/3* 60 = 40 people
So, from this we can say that people who disagreed with proposal 1 as well as with proposal 2 = 60 - 40 = 20 people
Now,
1. Number of people who did not answer "agree" to both proposals = Total People - People who agreed to both proposals = 100 - 10 = 90 People
2. Number of employees who did not answer "disagree" to both proposals = Total people - People who disagreed to both proposals = 100 - 20 = 80 People
Now, If we see the option, we'll observe that options are in terms of "M" so, all we have to do is put M = 100 in those options and see which option results in a value that matches our result mentioned above.
For Column A answer is 9M/ 10 and for column B answer is 4M/5.
Bunuel
