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30 Nov 2025, 22:00
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C
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Difficulty:
45%
(medium)
Question Stats:
70% (02:07) correct
30%
(02:00)
wrong
based on 182
sessions
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Not Attempted Yet
Company M has two divisions – X and Y. Both divisions have exactly two types of employees – operators and executives. Is the total number of employees in division X greater than that in division Y?
(1) The ratio of operators to executives for the division X is 9:1, and the ratio of operators to executives for the division Y is 4:1.
(2) The ratio of operators to executives for the company M is 5:1.
(1) The ratio of operators to executives for the division X is 9:1, and the ratio of operators to executives for the division Y is 4:1.
(2) The ratio of operators to executives for the company M is 5:1.
30 Nov 2025, 22:39
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ExpertsGlobal5
Statement 1: not sufficient
Say, the numbers in X are 9x and x, so total is 10x; the numbers in Y are 4y and y, so total is 5y. Since the values of / comparison between x and y is not known, we cannot find which is greater
Statement 2: not sufficient, clearly insufficient information
Combining:
Percent of operatives in X is (9/10)*100= 90%, in Y is 80% and overall is 83.3%
Clearly 83.3 is closer to 80 than to 90 implying the weight of Y is higher, i.e. no. of employees in Y is greater
Note: infact, since 83.3-80=3.3 andv90-83.3=6.6, employees in Y are twice as many as that in X (from the principle of alligation)
Hence C
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30 Nov 2025, 23:07
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Statement 1:
The ratio of operators to executives for the division X is 9:1, and the ratio of operators to executives for the division Y is 4:1.
AS we cannot get the conclusive answer which has more staff
not sufficient
Statement 2:
The ratio of operators to executives for the company M is 5:1.
as it gives ratio of whole company we cann't get division employee total
Not sufficient
Combining
Here by combining we can use allegation
by that
just take operator
X Y
9/10 4/5
5/6
1/30 1/15
so the ratio comes as
1:2
so we get the conclusive answer
Answer C
The ratio of operators to executives for the division X is 9:1, and the ratio of operators to executives for the division Y is 4:1.
AS we cannot get the conclusive answer which has more staff
not sufficient
Statement 2:
The ratio of operators to executives for the company M is 5:1.
as it gives ratio of whole company we cann't get division employee total
Not sufficient
Combining
Here by combining we can use allegation
by that
just take operator
X Y
9/10 4/5
5/6
1/30 1/15
so the ratio comes as
1:2
so we get the conclusive answer
Answer C
