Home Subjects Reasoning Ability Inequalities

Reasoning Ability
Inequalities

Critical thinking and logical reasoning questions

23 Q 8 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 11–20 of 23
Topics in Reasoning Ability
Q.11 Medium Inequalities
A < B, B ≥ C, D > E, E ≥ A, C > D. Arrange in ascending order.
A E < D < C < A < B
B E < D < C < B < A
C D < E < A < C < B
D D < E < C < A < B
Correct Answer:  C. D < E < A < C < B
EXPLANATION

From D > E and E ≥ A: D > E ≥ A. From C > D: C > D > E ≥ A. From B ≥ C and A < B: B ≥ C > D > E ≥ A, but A < B. Final: D < E < A < C < B.

Test
Q.12 Medium Inequalities
All roses are flowers. Some flowers are red. No red things are cheap. Which conclusion is valid?
A All roses are red
B Some roses are not cheap
C No roses are cheap
D No valid conclusion
Correct Answer:  D. No valid conclusion
EXPLANATION

We cannot conclusively determine the relationship between roses and cheap items because we don't know if red roses exist or if all red flowers are non-cheap.

Test
Q.13 Medium Inequalities
In a puzzle, Rajesh is facing North. He turns 90° clockwise, then 45° anticlockwise, then 90° clockwise. Which direction is he facing now?
A North-East
B East
C South-East
D South
Correct Answer:  C. South-East
EXPLANATION

Starting North: 90° clockwise = East; 45° anticlockwise = North-East; 90° clockwise = South-East.

Test
Q.14 Medium Inequalities
Analyze the inequalities: P ≥ Q, Q > R, S < R, T ≤ Q. Which statement is definitely true?
A P > S
B T < P
C S > T
D Q ≤ T
Correct Answer:  A. P > S
EXPLANATION

From the chain: P ≥ Q > R > S and T ≤ Q. Since Q > R > S and P ≥ Q, we get P ≥ Q > R > S, so P > S is definitely true.

Test
Q.15 Medium Inequalities
If all students are learners, and some learners are teachers, then which statement is definitely true?
A All students are teachers
B Some students are teachers
C No students are teachers
D Some learners are not teachers
Correct Answer:  D. Some learners are not teachers
EXPLANATION

All students are learners (Students ⊆ Learners). Some learners are teachers means not all learners are teachers. Therefore, some learners are not teachers. This is definitely true.

Test
Q.16 Medium Inequalities
Six people sit around a circular table. Q is 2 positions clockwise from P. R is 1 position counterclockwise from P. If P is at position 1, where is R?
A Position 2
B Position 6
C Position 3
D Position 5
Correct Answer:  B. Position 6
EXPLANATION

P at position 1. Q is 2 clockwise: position 3. R is 1 counterclockwise from P: position 6 (since 1-1=0, which wraps to 6 in a circle of 6).

Test
Q.17 Medium Inequalities
A number series follows: 1, 1, 2, 3, 5, 8, 13, ?. What is the next number?
A 20
B 21
C 22
D 23
Correct Answer:  B. 21
EXPLANATION

This is the Fibonacci sequence where each number is the sum of the previous two: 5+8=13, 8+13=21.

Test
Q.18 Medium Inequalities
In a seating arrangement of 8 people around a square table (2 on each side), if X sits opposite to Y, and Z sits to the immediate right of X, where does Z sit relative to Y?
A Immediate left
B Immediate right
C Opposite
D Two seats away
Correct Answer:  A. Immediate left
EXPLANATION

Square table with 2 people per side = 8 people total. X and Y are opposite. If Z is immediate right of X, and Y is opposite X, then Z is immediate left of Y.

Test
Q.19 Medium Inequalities
All birds are animals. Some animals are not mammals. Which conclusion is valid?
A All birds are mammals
B Some birds are not mammals
C All mammals are birds
D Cannot be determined
Correct Answer:  D. Cannot be determined
EXPLANATION

Premise 1: All birds are animals. Premise 2: Some animals are not mammals. This tells us some animals (not specified which) are not mammals. Birds could be the non-mammals or could all be mammals. We cannot definitively conclude about birds and mammals. The answer is 'Cannot be determined'.

Test
Q.20 Medium Inequalities
In a family, M is the father of N, O is the son of P, P is the daughter of N. How is O related to M?
A Grandson
B Granddaughter
C Son
D Nephew
Correct Answer:  A. Grandson
EXPLANATION

M is father of N. N is mother of P (P is daughter of N). P is mother of O (O is son of P). Therefore, O is grandson of M.

Test
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