- How many times do the hands of a clock coincide in a day?

A.) 20 B.) 21 C.) 22 D.) 24 Answer: Option 'C'

The hands of a clock coincide 11 times in every 12 hours

(Since between 11 and 1, they coincide only once,

i.e. at 12 o'clock).

==> The hands coincide 22 times in a day. - How many times are the hands of a clock at right angles in a day?

A.) 22 B.) 44 C.) 38 D.) 48 Answer: Option 'B'

In 12 hours, they are at right angles 22 times.

==> In 24 hours, they are at right angles 44 times. - How much does a watch lose per day, if its hands coincide every 64 minutes?

A.) 32 8/11min B.) 36 5/11min C.) 90min D.) 96min Answer: Option 'A'

55 min. spaces are covered in 60 min.

60 min spaces are covered in (60/55 * 60)min = 65 5/11 min

Loss in 64 min = ( 65 5/11- 64 ) = 16/11 min

Loss in 24 hrs = ( 16/11 * 1/64 * 24 * 60 ) min

= 32 8/11 min

- How many times in a day the hands of a clock are straight?

A.) 22 B.) 21 C.) 43 D.) 44 Answer: Option 'D'

In 12 hours, the hands coincide or are in oppesite direction 22 times.

In 24 hours, they are at right angles 22 times. - At what time between 4 & 5 will the hands of a watch point in opposite directions?

A.) 43 min past 4 B.) 42 5/11 min past 4 C.) 50 4/11 min past 4 D.) 40 min past 4 Answer: Option 'C'

At 4 o'clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30min. spaces apart.

Minute hand will have to gain 5 min. spaces.

55min spaces are gained in 60 min.

5 min. spaces are gained in (60/55 * 50) min. or 54 6/11 min.

Required time = 54 6/11 min. past 4.

Students can learn and improve on their Cognitive and Mathematical Fast Calculation skills and prepare for competitive examinations like...

- All I.B.P.S and Public Sector Bank Competitive Exam
- Common Aptitude Test (CAT) Exams
- UPSC Paper-II or CSAT Exams
- SSC Competitive Exams
- Defence Competitive Exams
- L.I.C / G.I.C AO and Clerk Competitive Exams
- Railway Competitive Exam
- University Grants Commission (UGC)
- Career Aptitude Test (IT Companies) and etc.

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