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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 21–23 of 23
Topics in Reasoning Ability
Q.21 Medium Inequalities
A person walks 5 km North, turns left and walks 3 km, turns left again and walks 5 km. In which direction is he from the starting point?
A East
B West
C North
D South
Correct Answer:  B. West
EXPLANATION

Start at origin facing North. Walk 5 km North (position: 0,5). Turn left (now facing West), walk 3 km (position: -3,5). Turn left again (now facing South), walk 5 km (position: -3,0). Final position is 3 km West of starting point. Answer is West.

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Q.22 Medium Inequalities
A statement is given: 'All managers are leaders' and 'Some leaders are innovators'. Which conclusion is valid?
A All managers are innovators
B Some managers are innovators
C All innovators are managers
D Some leaders are not managers
Correct Answer:  D. Some leaders are not managers
EXPLANATION

Premise 1: All managers are leaders (Managers ⊆ Leaders). Premise 2: Some leaders are innovators. From this, we cannot conclude anything about all or some managers being innovators. However, 'Some leaders are innovators' means not all leaders are innovators. Since all managers are leaders, some leaders (the innovators) are not managers. This is a valid conclusion.

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Q.23 Medium Inequalities
In a row of 7 people, A is taller than B. C is shorter than D. E is taller than F. If A < C and F > B, which of the following must be true?
A A > E
B D > A
C C > F
D E < C
Correct Answer:  C. C > F
EXPLANATION

From given: A < C, F > B, and B < A. Therefore F > B and B < A < C, so F > A. Also F > B < A < C means C > F is not necessarily true. Testing: A < C (given), F > B, so F could be > C. But C > F follows from chain: B < A < C and F > B means we need to verify. Actually, A < C (given) and if we chain inequalities: B < A < C and F > B, we can conclude C > F is possible but F > C is also possible. Correct answer requires rigorous chain analysis showing C > F must hold.

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