Question
What is Joy’s position in boys when counting from
bottom? I. There are 80 students in the class and Joy is ranked fifteenth from the top, and there are 6 girls ahead of him. II. The ratio of number of girls to boys is 1:3. Each of the questions given below has one question and two statements marked I and II.  You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.Solution
From both I & II, We know that the total number of students = 80 Number of girls = 80 X ¼ = 20 Number of boys = 80 X ¾ = 60 We know that 6 girls are ahead of him which means out of total 14 students ahead of Joy, 6 are girls and 14-6 =8 are boys. Thus, 8 boys are ahead Joy + 1 Joy = 9 Total boys = 60 60 – 9 = 51 = Number of boys behind Joy. Thus, Joy is 52nd from the bottom.
Statements: A ≤ B = C ≥ D > E > F; F = G ≥ H = I > J > K = L
Conclusions:
I. B > F
II. H = L
Statements: P ≤ Q > R > T > U, Q ≤ O < S, T < V
Conclusions:
I. R < S
II. P > U
Statements:  M = R ≥ S , N = O > Q, Q > W = A < S
Conclusions :
I. N ≥ S
II. W > R
III. O ≤ S
ÂStatements: E > F = G; H < I = F; J > IÂ
Conclusions: I) J > GÂ
II) E < JÂ
III) H > E
Statements: F ≥ G = H > I = L ≤ J < K ≤ M
Conclusions:
I. L > F
II. G ≤ J
Which of the following symbols respectively should replace the question marks in order to make the expression V ≥ M and X ≤ H definitely true?
<...Statements: Q > U = V ≤ X; R ≥ S ≥ X
Conclusions:
I. U = S
II. V < S
Statements:
P < Q < R < K ≤ B < H; K > A ≥ Y
Conclusions:
I) P < Y
II) R ≥ A
Statements:  F ≥ O = Z, Z ≥ P > L
Conclusions:
I. O > P
II. F > L
III. O ≥ L
IV. P > F
...In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?