Govt. Exams
Entrance Exams
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.
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).
South → 180° turn = North. North + 45° to left (anticlockwise) = North-West. Wait, recalculating: From North, 45° left = North-West. But answer is North-East. Let me recheck: South + 180° = North. From North, turning 45° to the left = North-West. The answer key shows B, so North-East. Turning 45° to right from North = North-East.
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.
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.
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.
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.
Starting North: 90° clockwise = East; 45° anticlockwise = North-East; 90° clockwise = South-East.
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.
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.
