Question
Number of faculties in Physics and Biology in an
institute is in the ratio of 2:5 respectively. If 105 more faculties join Physics, while 56 more faculties join Biology, the respective ratio becomes 3:4. Originally what was the total number of faculties in both together? ÂSolution
Let the original number of faculties in Physics and Biology be 2x and 5x respectively According to the question,  => (2x + 105)/(5x + 56) = 3/4 => 15x + 168 = 8x + 420 => x = 36 Original number of faculties = 2x + 5x = 7x = 7 × 36 = 252
Statements : X = Y ≥ Z = O ≤ N ≤ M
Conclusions :
I. X > O
II. X = Z
Statements: M ≥ G > K = Y; A ≥ Z ≥ E > M = I
Conclusions:
I. A ≥ I
II. K < E
III. I > G
Statements:
A < B < Z < K ≤ B < H; K > N ≥ P
Conclusions:
I) A < P
II) Z ≥ N
Statement: Z > F ≥ O; Z ≤ G = P; Q > F
Conclusion: I. P > OÂ Â Â Â Â Â II. Q > G
In this question, there are three statements showing the relation followed by three conclusions i, ii and iii. Assuming the statements as true, decide w...
In which of the following expressions the expression ‘Q ≤ N’ would hold definitely true?
Statements: M > L = K ≥ H, V > G > M, U < N = H
Conclusions:
I. V > U
II. H < G
III. L ≥ V
Statements: P # B, Q $ B, B @ J, J % F
Conclusions: Â Â Â Â Â I. F # BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. F @ BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements:
A < B ≤ T < Y = O; V < R > K ≥ F > O
Conclusions:
I). B < R
II). Y ≥ K
...Which of the following symbols should replace the sign (@) and (%) respectively in the given expression in order to make the expression C ≥ G and A >...