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?
Answer: C
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.
Q.2Medium
A statement is given: 'All managers are leaders' and 'Some leaders are innovators'. Which conclusion is valid?
Answer: D
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.
Q.3Medium
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?
Answer: B
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.
Q.4Medium
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?
Answer: A
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.
Q.5Medium
All birds are animals. Some animals are not mammals. Which conclusion is valid?
Answer: D
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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Q.6Medium
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?
Answer: A
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.
Q.7Medium
A number series follows: 1, 1, 2, 3, 5, 8, 13, ?. What is the next number?
Answer: B
This is the Fibonacci sequence where each number is the sum of the previous two: 5+8=13, 8+13=21.
Q.8Medium
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?
Answer: B
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).
Q.9Medium
If all students are learners, and some learners are teachers, then which statement is definitely true?
Answer: D
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.
Q.10Medium
Analyze the inequalities: P ≥ Q, Q > R, S < R, T ≤ Q. Which statement is definitely true?
Answer: A
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.
Q.11Medium
In a puzzle, Rajesh is facing North. He turns 90° clockwise, then 45° anticlockwise, then 90° clockwise. Which direction is he facing now?
All roses are flowers. Some flowers are red. No red things are cheap. Which conclusion is valid?
Answer: D
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.
Q.13Medium
A < B, B ≥ C, D > E, E ≥ A, C > D. Arrange in ascending order.
Answer: C
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.
Q.14Medium
Seven people stand in a line. Ramesh is 3rd from the left. Suresh is 2 positions to the right of Ramesh. Tamara is to the left of Ramesh. How many people are to the right of Suresh?
Answer: B
Ramesh is 3rd from left. Suresh is 2 positions to the right, so 5th from left. Total 7 people. People to the right of 5th position: 6th and 7th = 2 people.
Q.15Medium
All students are hardworking. Some hardworking people are successful. Some successful people are famous. Can we conclude that some students are famous?
Answer: B
We cannot definitively conclude because there's no established link between 'some hardworking are successful' and 'all students are hardworking' that guarantees students are famous.
Q.16Medium
PAINT is related to PINT in the same way as STAIN is related to?
Answer: B
PAINT → PINT (remove A). STAIN → SAINT (rearrange to remove duplicate, or remove second A). Actually: PAINT loses A to get PINT. STAIN rearranged is SAINT (anagram).
Q.17Medium
Series: 3, 7, 15, 31, 63, ?. What is the next number?
Answer: A
Pattern: Each number is 2^n - 1. 2¹-1=1 (no), 2²-1=3, 2³-1=7, 2⁴-1=15, 2⁵-1=31, 2⁶-1=63, 2⁷-1=127.
Q.18Medium
All doctors are professionals. Some professionals are teachers. No teacher is a doctor. Based on these statements, which conclusion is valid?
Answer: B
From the premises: All doctors are professionals, but not all professionals are doctors. Some professionals are teachers, and no teacher is a doctor. Therefore, there exist professionals who are neither doctors nor teachers.
Q.19Medium
Six people sit around a circular table: F, G, H, I, J, K. G sits 2 seats to the right of F. H sits opposite to J. I is not adjacent to G. K sits to the left of F. Who sits between I and J (clockwise from I)?
Answer: C
In a circular arrangement with 6 seats: If K is to the left of F and G is 2 seats to the right of F, we get a relative positioning. H opposite to J means they are 3 seats apart. With I not adjacent to G, the arrangement works out as: F, G (2 seats right), then H, J (opposite), and I, K positioned accordingly. The person between I and J clockwise is H.
Q.20Medium
In a series: 2, 6, 12, 20, 30, 42, ?. What is the next number?
Answer: A
The differences are: 6-2=4, 12-6=6, 20-12=8, 30-20=10, 42-30=12. The differences increase by 2 each time. Next difference should be 14, so 42+14=56.