Allied & ICAR Exam Bank • ALLIED_2340MCQ • 2 Marks
Section 8: General Aptitude
Analytical & Spatial Aptitude
Subtopic: Logic Deduction & Pattern Recognition
Question Statement:
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. How much does the clock gain or lose in a day?
Options:
(A) Gains $10\frac{10}{143}$ minutes
(B) Loses $10\frac{10}{143}$ minutes
(C) Gains 12 minutes
(D) Loses 8 minutes
Answer Key:
A
Step-by-Step Solution & Explanation
Normal interval $= 720 / 11 = 65\frac{5}{11}$ min. Since it overtakes every 65 min, it is faster: Gain in 65 min $= 5/11$ min. In 24 hrs ($1440$ min), gain $= (5/11) \times (1440 / 65) = \frac{7200}{715} = 10\frac{10}{143}$ min.