Govt. Exams
Entrance Exams
From Z ≤ W, we directly get W ≥ Z. The relationships X ≥ Y, Y > Z don't establish a definite relationship between X and W, making option B the only statement that must be true.
CAR becomes CARE by adding E. FIRE becomes FIRED by adding D. The pattern is adding a suffix letter to the end of the word. FIRED completes this analogy.
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.
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.
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.
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.
