Question
Some students (only boys and girls) from different
schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.Solution
Let the Number of boys and Girls who appeared in exam be x and y respectively, So, according to question- Number of boys passed in exam = [(100 - 20) × x]/100 = 0.80x Number of girls passed in exam = [(100 - 15) × y]/100 = 0.85y Condition (1) - ⇒ 0.80x = 0.85y + 70 ⇒ 0.80x - 0.85y = 70 ...(i) Condition (2) - Total failed students = 90 ⇒ 0.20x + 0.15y = 90 ...(ii) From eqn (1) - [4 × eqn (ii)] ⇒ (-0.85y) - 0.60y = 70 - 360 ⇒ 1.45y = 290 ⇒ y = 200 Put this value in eqn (i) ⇒ 0.80x = 0.85 × 200 + 70 ⇒ 0.80x = 170 + 70 = 240 ⇒ x = 300 So, total number of students appeared in exam = 300 + 200 = 500.
Statements: J $ K, K * T, T @ N, N © R
Conclusions:
 I. J $ T                  II.R * T               �...
Which of the following symbols should replace the sign ($) and (*) respectively in the given expression in order to make the expression E ≥ H and L >...
Statement: D < I < J = M = NÂ `>=` R > X
  Conclusion: I. J > X           II. D < N
...Statements: Q @ X % Y % W; Y $ O $ B
Conclusions:
I. Â X % B
II. Q @ W
III. O $ X
...Statements:
J $ R % U % C
Conclusions:
I. R © C
II. J * U
III. C % J
Statements: L < M > P ≥ Q; N > O > M
Conclusions:
I. N ≥ Q
II. O > L
III. L = QÂ
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 t...
Statements: I < P = S ≥ O > W < E≤ G ≥ A
Conclusion
I: O ≤ P
II: G > O
Statement:
N > I ≥ H > O; O ≤ J ≤ K < F; H > P < C; C = R < S;
Conclusion:
I. I > C
II. P < F
III. H < S
Statements: W ≤ T = R; T < U < S; X = W ≥ Y
Conclusions:
I. S > Y
II. W ≥ S
III. U ≥ Y
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