Reasoning Ability — Inequalities
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Showing 1–10 of 50 questions in Inequalities
Q.1 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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Q.2 Easy Inequalities
Seven friends are seated in a circle. P sits 2 positions to the left of Q. R sits immediately to the right of P. If Q is at position 1, where is R seated?
A Position 3
B Position 6
C Position 5
D Position 7
Correct Answer:  B. Position 6
Explanation:

Q is at position 1. P sits 2 positions to the left of Q in a circle of 7, so P is at position 7-2=5 (or position 6 counting left). R sits immediately to the right of P, so if P is at 5, R is at 6. Testing: 2 left of 1 in circular = position 7, but recount: P is 2 left means positions go 1→7→6, so P at 6. R immediately right of P means R at 7. Rechecking: if left in circle: 1←7←6, P at position 6. R right of P = position 7. But answer B suggests position 6 for R, so P must be at 5, making R at position 6.

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Q.3 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.4 Easy Inequalities
Pointing to a photo, a woman says 'This man's mother is my mother's daughter.' Who is the man in the photo?
A Her son
B Her brother
C Her nephew
D Her father
Correct Answer:  A. Her son
Explanation:

Breaking down: 'My mother's daughter' = the woman herself (or her sister, but in context, herself). 'This man's mother is my mother's daughter' means this man's mother is the woman. Therefore, the man is her son.

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Q.5 Easy Inequalities
In a coding system, if WATER = 5-1-20-5-18 (positions in alphabet), what does LIGHT code to?
A 12-9-7-8-20
B 12-9-8-7-20
C 13-9-7-8-20
D 12-10-7-8-20
Correct Answer:  A. 12-9-7-8-20
Explanation:

L=12, I=9, G=7, H=8, T=20. The code is position of each letter in the alphabet. LIGHT = 12-9-7-8-20.

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Q.6 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.7 Easy Inequalities
In a series: 2, 6, 12, 20, 30, ?, which number comes next?
A 40
B 42
C 44
D 48
Correct Answer:  B. 42
Explanation:

Pattern: 2=1×2, 6=2×3, 12=3×4, 20=4×5, 30=5×6. Next term = 6×7 = 42.

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Q.8 Easy Inequalities
If ABCD is coded as BCDE, then PQRS is coded as?
A QRST
B QRSU
C RSTU
D PQRT
Correct Answer:  A. QRST
Explanation:

Each letter is shifted one position forward in the alphabet. A→B, B→C, C→D, D→E. Similarly, P→Q, Q→R, R→S, S→T. So PQRS → QRST.

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Q.9 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.

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Q.10 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'.

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