Govt Exams
a/c = (a/b) × (b/c) = (2/3) × (3/4) = 6/12 = 1/2
Profit = 2400 - 2000 = 400. Profit % = (400/2000) × 100 = 20%
These are perfect squares: 4², 5², 6², 7², 8² = 16, 25, 36, 49, 64
A's work per day = 1/10. B's work per day = 1/15. Combined = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6. Time = 6 days
Let son's age 3 years ago = x. Father's age 3 years ago = x + 20. x + x + 20 = 48. 2x = 28. x = 14. Current age of son = 14 + 3 = 17
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 ways. Total outcomes = 36. Probability = 6/36 = 1/6
At 3:00, minute hand is at 12 (0°) and hour hand is at 3 (90°). Angle = 90°
Using Venn diagram: Only coffee = 60-30 = 30, Only tea = 50-30 = 20, Both = 30. Total liking at least one = 30+20+30 = 80. Neither = 100-80 = 20
A = 2B = 2(3C) = 6C. So 6C + 3C + C = 22. 10C = 22. C = 2.2... Check: If C = 2, then B = 6, A = 12. 12+6+2 = 20 (approx). Actually C = 2 when rounded
Pattern: 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42