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.
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...
Statements: V ≤ R ≥ Q; R ≤ N < Y; I > Y ≤ S
Conclusions:
I. V ≤ S
II. I > Q
III. S > N
Statements: A = B ≥ C > D, F > G = H ≥ J, D ≥ E ≥ I > F
Conclusions:
I. D ≥ H
II. I > J
III. G < A
Statements: I > J = K ≥ M; D ≥ F ≤ E = I
Conclusions:
I. M < E
II. D ≥ MStatements:
A = B ≤ Y < Z; P ≤ I < A; M ≤ Y < N
Conclusions:
I). Â M < Z
II). Â P < Y
III). Â N > A
...Statements: R ≥ J > V= A > S ≤ P > G < H
Conclusions: I. R > PÂ Â Â II. H < J
Statements: P < Q ≤ R ≤ S; P > T = V ≥ X; S ≤ W = Y < U
Conclusions:
I. U > R
II. W > X
III. Q < Y
Statements: O > Q < R > P = U ≥ S > T ≥ N
Conclusion
I: S < R
II: U > N
Statements: B > A = D ≥ C = I ≥ H > E > F > G
Conclusions:
I. C ≥ E
II. E > C
III. A ≥ DA statement is given, followed by two conclusions I and II. Decide which of the given conclusions is/are true based on the statement. Â
Statemen...