Govt. Exams
Entrance Exams
P(both red) = (4/10) × (3/9) = 12/90 = 2/15.
Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7. So the next term is 6×7 = 42.
From x + 2y = 8, x = 8 - 2y. Substitute in 3x + 5y = 21: 3(8-2y) + 5y = 21. 24 - 6y + 5y = 21. y = 3, x = 2.
From given conditions: A > B, D > C, B > C. Combining: A > B > C and D > C. So C is definitely the shortest.
Time1 = 240/60 = 4 hours. Time2 = 180/90 = 2 hours. Total distance = 420 km, Total time = 6 hours. Average speed = 420/6 = 70 km/h.
Each letter is shifted forward by 1 position in the alphabet. S→T, Q→R, U→V, A→B, R→S, E→F.
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6
Downstream speed = 15 km/h, Upstream speed = 10 km/h. Current speed = (15-10)/2 = 2.5 km/h
Work remains constant: 5 × 12 = X × 3. Therefore X = 60/3 = 20 men
Each number is multiplied by 3: 8×3=24, 24×3=72, 72×3=216, 216×3=648, 648×3=1944
