Which of the following symbols should replace the question mark (?) in the given expression in order to make the expressions P > A as well as T $$\leq$$ L definitely true? P > L ? A $$\geq$$ N = T
a) $$\leq$$
b) >
c) <
d) $$\geq$$
e)Either $$\leq$$ or <;

Answer: Option D

Solution: In order for P to be greater than A '?' should be replaced with '>' but in order for T $$\leq$$ L to be true '?' must be replace by $$\geq$$ . Hence, option D.

[2011 IBPS Clerk]
Directions: In the following questions, the symbols !, %, $, # and @ are used with the following meaning as illustrated below:
P$Q means ‘P is not smaller than Q’
P@Q means ‘P is not greater than Q’
P ! Q means ‘P is neither smaller than nor equal to Q’
P # Q means ‘P is neither greater than nor equal to Q’
P % Q means ‘P is neither smaller than nor greater than Q’
In each of the questions, assuming the statements to be true, find which of the conclusions is definitely true. Give answer:
(a) If only conclusion 1 is true
(b) If only conclusion 2 is true
(c) If either conclusion 1 or 2 is true
(d) If neither conclusion 1 nor 2 is true
(e) If both conclusions 1 and 2 are true
Question 1) Statements F @ N, N ! R, H@ R
Conclusions 1) H ! N 2) F # R
Solution: F @ N => $$ F \leq N $$
N ! R => N > R
H @ R => H $$ \ leq $$ R
So, F $$ \leq N > R \geq H $$
Lets check the conclusions
1) H ! N => H > N
From the statements, as N>R and $$R \geq H$$, which implies that N>H. Hence, conclusion 1 is false.
2) F # R => F < R
R < N and F $$\leq$$ N, so we cannot say if F So answer is (d)

Question 2) Statements M # T, T @ K, K $ N
Conclusions 1) M # N 2) K ! M
Solution: M # T => M < T
T @ K => T $$ \leq $$ K
K $ N => K $$ \geq $$ N
M < T $$ \leq K \geq N $$
Lets check the conclusions:
1) M # N => M < N
M < K and K $$\geq$$ N. So we cannot say if M2) K ! M => K > M
As M < T and T $$\leq$$ K, K>M. Hence, conclusion 2 is definitely true.
So, answer is option B.

Which of the following expressions will be true if the expression R > O = A > S < T is definitely true?
a)O > T
b)S < R
c)T > A
d)S = O
e)T < R

Answer: Option B

Solution: We can split the statement as R> O> S, R>A>S, S