Inequalities (CSAT PYQs)

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UPSC CSE Prelims CSAT (Paper II) previous year questions on Inequalities (Logical Reasoning), asked from 2015–2025, with answers. There are 5 questions in this post. Attempt each question, then click Show Answer to check.

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1] Consider the following statements:
I. If A ≤ B > C < D > E > F ≥ G = H; then B is always greater than E.
II. If P > Q = R ≥ S = T ≤ U = V > W; then S is always less than V.
Which of the statements given above is/are correct? [2025/19]

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

Show Answer

Ans: (d) Neither I nor II


2] Consider the following:
I. A + B means A is neither smaller nor equal to B.
II. A – B means A is not greater than B.
III. A x B means A is not smaller than B.
IV. A ÷ B means A is neither greater nor equal to B.
V. A±B means A is neither smaller nor greater than B.
statement: P × Q, P – T, T ÷ R, R ± S
Conclusion-1: Q ± T
Conclusion-2: S + Q
Which one of the following is correct in respect of the above Statement and the Conclusions? [2023/70]

(a) Only Conclusion-1 follows from the Statement.
(b) Only Conclusion-2 follows from the Statement.
(c) Both Conclusion-1 and Conclusion-2 follow from the Statement.
(d) Neither Conclusion-1 nor Conclusion-2 follows from the Statement.

Show Answer

Ans: (b) Only Conclusion-2 follows from the Statement.


3] If Pen < Pencil, Pencil < Book and Book > Cap, then which one of the following is always true? [2018/37]

(a) Pen > Cap
(b) Pen < Book
(c) Pencil = Cap
(d) Pencil > Cap

Show Answer

Ans: (b) Pen < Book


4] Consider the following statements:
1. Either A and B are of the same age or A is older than B
2. Either C and D are of the same age or D is older than C
3. B is older than C
Which of the following conclusions can be drawn from the above statements? [2016/32]

(a) A is older than B
(b) B and D are of the same age
(c) D is older than C
(d) A is older than C

Show Answer

Ans: (d) A is older than C


5] Examine the following statements:
1. Lady’s finger is tastier than cabbage.
2. Cauliflower is tastier than lady’s finger.
3. Cabbage is not tastier than peas.
The conclusion that can be drawn from these statements is that [2015/32]

(a) peas are as tasty as lady’s finger.
(b) peas are as tasty as cauliflower and lady’s finger.
(c) cabbage is the least tasty of the four vegetables.
(d) cauliflower is tastier than cabbage.

Show Answer

Ans: (d) cauliflower is tastier than cabbage.


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