Question
In a class of students, the ratio of boys to girls is
5:3. If 15 boys and 5 girls join the class, the ratio becomes 9: 5. What was the initial number of boys in the class?Solution
Let the number of boys be 5x and the number of girls be 3x. After joining, the boys = 5x + 15 and girls = 3x + 5. New ratio: (5x + 15) / (3x + 5) = 9/5 Cross-multiplying gives: 5(5x + 15) = 9(3x + 5) 25x + 75 = 27x + 45 2x = 30 x = 15 Initial number of boys = 5x = 75
Statements: B < C ≥ D; T < G ≥ E; E < C
Conclusions:
I. T < C
II. C > G
III. E < D
Statements: J > K = L ≥ M ≥ Q; N < O ≤ P < Q
Conclusions:
I. Q > N
II. J > O
Statement: L ≥ X ≤ Z > Y ≤ A, Y = B ≥ C
Conclusion: I. C >A II. A ≥ C
Statements: B > C= D > F < G = J; H > F > I ≥ E
Conclusions:
I. C > E
II. H < G
III. J = H
Statements: T < Q ≥ L; W < Q ≥ E; E < S
Conclusions:
I. T < S
II. S > Q
III. E < L
Statements: I > L < N ≥ T > H; L > G > P; U ≥ G = O
Conclusion:
I. O ≤ I
II. P < N
III. I > U
In which of the following expressions will the expression ‘D < F’ does not hold true?
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the two conclusions is/are true and then giv...
Statements: B > K < Y, E > C ≥ O = Y
Conclusions:
I. C > B
II. E ≤ Y
III. E > K
IV. O ≥ K
...Statements: H ≥ I < J ≥ K > L ≥ M
Conclusions:
I. L < J
II. M ≤ J
III. K ≥ J
IV. I = K