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ATQ, Let the number of women in the office = ‘x’ Then, number of men in the office = (x + 13) Let the average weight of a women in the office = ‘y’ kg Then, average weight of the office = (y + 5) kg Statement I: According to the statement, (x + 13 – 8) = (x + 8) × 0.95 Or, x + 5 = 0.95x + 7.6 Or, x = 2.6 ÷ 0.05 = 52 So, number of women and men in the office is 52 and 65, respectively. So, total weight of the office = (52 + 65) × (y + 5) = (117y + 585) kg Total weight of the women in the office = ‘52y’ kg So, total weight of the men in the office = 117y + 585 – 52y = (65y + 585) kg So, average weight of a men in the office = (65y + 585) ÷ 65 = (y + 9) kg We cannot solve further to obtain the exact value of (y + 9). So, data in statement I alone is not sufficient to answer the question. So, average weight of a boy in the office = (65y + 585) ÷ 65 = (y + 9) kg We cannot solve further to obtain the exact value of (y + 9). So, data in statement I alone is not sufficient to answer the question. Statement II: Let the original average weight a men in the office = ‘z’ kg Then, according to the statement, (x + 13) × (z + 4) + x × (y – 5) = (x + 13) × z + x × y Or, xz + 13z + 4x + 52 + xy – 5x = xz + 13z + xy Or, xz + 13z + 52 + xy – x = xz + 13z + xy Or, xy + 52 – x = xy So, x = 52 So, the number of men and women in the office is 65 and 52, respectively. But with this information alone we cannot determine the average weight of a men in the office. So, data in statement II alone is not sufficient to answer the question. Combining statements I and II: Since, number of women and men in the office is 52 and 65, respectively. We have, 52 × y + 65 × (y + 9) = 52 × (y – 5) + 65 × (y + 9 + 4) Or, 52y + 65y + 585 = 52y – 260 + 65y + 845 Or, 117y + 585 = 117y + 585 This equation cannot be solved any further, So, data in statements I and II together are not sufficient to answer the question.
Given statement shows the relation between different elements followed by two conclusions.
Statement: B2 = T4 < E3 ≤ G5 > F6 = H7 > Q8
...Statements:
C © S * R, U % R $ Z
Conclusions:
I. Z $ C
II. U % S
III. U © C
Statements: N & C, C # I, I @ L, L % Y
Conclusions: I. C & Y II. L # N
...Statements: H < I; J < L < K; H ≥ L > M
Conclusions:
I. J < I
II. M < K
III. K > I
Which of the following does not make J @ K and R # K definitely not true?
Three statements, showing relationship between different elements, are followed by three conclusions (I). (II) and (III). Assuming the statements to be ...
Which of the following will be definitely true if the given expression L > M ≥ N > O ≥ P > Q = S ≤ T > R ≤ U is definitely not true?
Statements:
E = F > Q = A > B; J < Z ≤ A
Conclusions:
I. Q > Z
II. B ˃ J
Statement: A≤B ≤C>D ; E<D ;F>E
Conclusions:
I. D>A
II. E<C
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...