What is the reflex angle between the hands of a clock at 9:20?
Solution
The smaller angle is |30 × 9 − 5.5 × 20| = 160°.
Reflex angle = 360° − 160° = 200°.
Answer: (D) 200°
Logical Reasoning · Calendars and clocks
Clocks: MAH CET, NMAT and SNAP practice questions
20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
Exam:
A watch loses 12 minutes every 24 hours. It is set right at noon on Monday. How many minutes behind will it be after 48 hours?
Solution
It loses 12 minutes in 24 hours, so in 48 hours it loses 12 × 48/24 = 24 minutes.
Answer: (B) 24 minutes
How many times are the hands of a clock at right angles in a day?
Solution
In 12 hours the hands coincide 11 times and are opposite 11 times (not 12, because one meeting is shared between two hours), and they are at right angles 22 times.
A day has two 12-hour cycles.
So the answer is 44.
Answer: (B) 44
A watch loses 10 minutes every 24 hours. It is set right at noon on Tuesday. How many minutes behind will it be after 84 hours?
Solution
It loses 10 minutes in 24 hours, so in 84 hours it loses 10 × 84/24 = 35 minutes.
Answer: (B) 35 minutes
A clock takes 16 seconds to strike 5 o'clock. How long will it take to strike 12 o'clock?
Solution
Striking 5 has 4 gaps, so each gap is 16/4 = 4 seconds.
Striking 12 has 11 gaps: 11 × 4 = 44 seconds.
Answer: (B) 44 seconds
What is the angle between the hour and minute hands of a clock at 8:55?
Solution
Angle = |30H − 5.5M| = |30 × 8 − 5.5 × 55| = 62.5°.
Answer: (B) 62.5°
What is the angle between the hour and minute hands of a clock at 2:15?
Solution
Angle = |30H − 5.5M| = |30 × 2 − 5.5 × 15| = 22.5°.
Answer: (A) 22.5°
At what time between 7 and 8 o'clock will the hands of a clock first be at right angles?
Solution
Right angle means a 90° gap. At 7:00 the gap is 210°; the minute hand gains 5.5° per minute.
The first time the gap is 90° is after (210 − 90) ÷ 5.5 = 21 9/11 minutes.
Answer: (D) 21 9/11 minutes past 7
A clock shows 1:20. What time does its mirror image show?
Solution
For a mirror image, subtract the time from 11:60.
11:60 − 1:20 = 10:40.
Answer: (B) 10:40
How many times are the hands of a clock at right angles in 12 hours?
Solution
In 12 hours the hands coincide 11 times and are opposite 11 times (not 12, because one meeting is shared between two hours), and they are at right angles 22 times.
A day has two 12-hour cycles.
So the answer is 22.
Answer: (D) 22
A clock takes 18 seconds to strike 3 o'clock. How long will it take to strike 12 o'clock?
Solution
Striking 3 has 2 gaps, so each gap is 18/2 = 9 seconds.
Striking 12 has 11 gaps: 11 × 9 = 99 seconds.
Answer: (A) 99 seconds
At what time between 9 and 10 o'clock will the hands of a clock coincide?
Solution
The minute hand gains 5.5° per minute on the hour hand. At 9:00 the hour hand is 270° ahead.
Time = 270 ÷ 5.5 = 49 1/11 minutes past 9.
Answer: (D) 49 1/11 minutes past 9
Through how many degrees does the hour hand of a clock turn in 1 hour 12 minutes?
Solution
The hour hand turns 30° per hour, that is 0.5° per minute.
72 minutes × 0.5° = 36°.
Answer: (C) 36°
At what time between 10 and 11 o'clock will the hands of a clock point in opposite directions?
Solution
The hands are opposite when the minute hand is 180° behind the hour hand.
Gap to make up = 300 − 180 = 120°, at 5.5° per minute.
Time = 120 ÷ 5.5 = 21 9/11 minutes past 10.
Answer: (A) 21 9/11 minutes past 10
At what time between 9 and 10 o'clock will the hands of a clock point in opposite directions?
Solution
The hands are opposite when the minute hand is 180° behind the hour hand.
Gap to make up = 270 − 180 = 90°, at 5.5° per minute.
Time = 90 ÷ 5.5 = 16 4/11 minutes past 9.
Answer: (A) 16 4/11 minutes past 9
A clock gains 12 minutes every hour. It is set right at 6:00 a.m. What is the correct time when the clock shows 10:00 a.m.?
Solution
For every 60 minutes of real time the clock moves 72 minutes.
The clock has moved 240 minutes, so the real time passed is 240 × 60/72 = 200 minutes.
Correct time = 6:00 a.m. + 200 minutes = 9:20 a.m.
Answer: (A) 9:20 a.m.
A clock shows 6:20. What time does its mirror image show?
Solution
For a mirror image, subtract the time from 11:60.
11:60 − 6:20 = 5:40.
Answer: (D) 5:40
What is the reflex angle between the hands of a clock at 9:50?
Solution
The smaller angle is |30 × 9 − 5.5 × 50| = 5°.
Reflex angle = 360° − 5° = 355°.
Answer: (B) 355°
Through how many degrees does the hour hand of a clock turn in 3 hours 35 minutes?
Solution
The hour hand turns 30° per hour, that is 0.5° per minute.
215 minutes × 0.5° = 107.5°.
Answer: (A) 107.5°
A clock loses 15 minutes every hour. It is set right at 7:00 a.m. What is the correct time when the clock shows 6:00 p.m.?
Solution
For every 60 minutes of real time the clock moves 45 minutes.
The clock has moved 660 minutes, so the real time passed is 660 × 60/45 = 880 minutes.
Correct time = 7:00 a.m. + 880 minutes = 9:40 p.m.
Answer: (A) 9:40 p.m.
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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