Govt. Exams
Entrance Exams
Adding all three: 2(A+B+C) = 50, so A+B+C = 25
Check constraints: P<Q ✓, S<R ✓, R<T ✓. Only option B satisfies all conditions.
Pattern: 1×2, 2×3, 3×4, 4×5, 5×6, 6×7, 7×8 = 56
B's father = A's grandfather. Therefore A is B's grandson.
All others are perfect squares of consecutive integers (11², 12², 13², 14², 15²). 256 = 16², breaking the consecutive pattern.
At 3:15, minute hand is at 3 (90°). Hour hand moves 30° per hour + 0.5° per minute = 90° + 7.5° = 97.5°. Angle = 97.5° - 90° = 7.5°
Total balls = 10 + 15 = 25. Probability of red ball = 10/25 = 2/5.
Work completed per day = 1/12. Work completed in 3 days = 3 × (1/12) = 3/12 = 1/4.
x : y = 3 : 4 and y : z = 8 : 9. To make y the same in both, multiply first by 2: x : y = 6 : 8. So x : y : z = 6 : 8 : 9.
Volume of box = 5 × 4 × 3 = 60 cubic cm. Volume of each 1 cm cube = 1 cubic cm. Number of cubes = 60.
