Inequalities Problems For Bank

Dear Reader,
Below are three problems based on comparison of inequalities.

Question 1

A's weight is greater than B but less than C. B's weight is greater than E. D's weight is greater than A but less than G. Who among them has the less weight?
a) D b) G c) E d) C

Answer : c) E

Solution :

From "A's weight is greater than B but less than C"
i.e, C > A > B.......(1)
From "B's weight is greater than E"
i.e., B > E ......(2)
And from "D's weight is greater than A but less than G"
i.e.,G > D > A ....(3)

From (1), (2) and (3), we have,
C > A > B > E and G > D > A

Hence E has less weight than all.

Question 2

In an exam, P scores more marks than Q but less than R. T scores less than Q. S scores less than V but more than P and R scores less than V. Who among them has highest mark?
a) V b) R c) Q d) P

Answer : a)V

Solution :

From " P scores more marks than Q but less than R
we have Q < P < R ...(1)
From T scores less than Q
we have T < Q ...(2)
From S scores less than V but more than P
we have P < S < V ...(3)
and from R scores less than V
we have R < V ....(4)
From above 4 inequalities, we have
T < Q < P < R,S < V

Hence V scores highest marks.

Question 3

A is younger than E. D is elder than both C and B but younger than both E and A. Also B is younger than C but elder than F. Then who among them is the top most senior?
a) B b) C c) D d) E

Answer: d) E

Solution:

Given that A is younger than E i.e., A < E ...(1)
and D is elder than both C and B but younger than both E and A.
i.e, C < D < E and B < D < A ...(2)
And B is younger than C but elder than F.
i.e., F < B < C ...(3)
From above inequalities we have,
F < B < C < D < E and B < D < A < E
F < B < C < D < E
Hence, the top most senior is E.


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