Question
The marks scored by a boy in three subjects are in the
ratio 3 : 4 : 8. Boy scored an overall aggregate of 60% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 75% marks?Solution
Let the maximum marks in each subject be 100. ∴ Total score = 60% of (100 + 100 + 100) = 60% of (300) = 180 Also, 75% marks in a subject correspond to 75% of (100) = 75 Let a boy have scored 3x, 4x and 8x in the three subjects. ∴ 3x + 4x + 8x = 180 ∴ 15x = 180 i.e. x = 12 Hence, his marks in the three subjects are 36, 48 and 96. Hence, he has scored more than 75 in exactly one subject.
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions:
I. P ≤ M
II. L > N
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Statements: D > E > G ≤ H < I; G > P > F
Conclusions:
I. D > F
II. P < I
III. D > I
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Statements : T ≥ W > X; Q = J < X; Q < O ≥ D
Conclusions :
I. J < W
II. O > W
III. D > J
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Statement: M < N ≤ O = P, Q ≥ O ≤ R ≤ Z
Conclusion: I. Q > MÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. Z > M
...