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# a watch which gains uniformly is 6 min slow at 5 p.m. on monday. on the following monday at 9 am, it was 10 min 40 seconds fast. when was it correct?

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### Mohammed

Guys, does anyone know the answer?

get a watch which gains uniformly is 6 min slow at 5 p.m. on monday. on the following monday at 9 am, it was 10 min 40 seconds fast. when was it correct? from screen.

## A watch which gains uniformly, is 5 min slow at 8 o'clock in the morning on Sunday and it is 5 min 48 sec fast at 8 p.m on following Sunday. When was it correct?

Click here👆to get an answer to your question ✍️ A watch which gains uniformly, is 5 min slow at 8 o'clock in the morning on Sunday and it is 5 min 48 sec fast at 8 p.m on following Sunday. When was it correct?

Question

A

B

C

D

## 20 min  past 7 p.m. on Thursday

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

Time from 8 a.m  on Sunday to 8 p.m on following Sunday = 7 days 12 hours = 180 hours

∴ The watch gains (5+5

5 4 ​ ) min  or 5 54 ​ min in 180 hrs Now 5 54 ​

min are gained in 180 hrs

∴ 5 min. are gained in (180×

54 5 ​

×5) hrs. = 83 hrs 20 min.

= 3 days 11 hrs 20 min.

∴ Watch is correct 3 days 11 hrs 20 min. after 8 a.m. of Sunday

∴ It will be correct at 20 min  past 7 p.m. on Wednesday

40 10

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## Clock Problems

Solve the practice problems based on the clocks and understand the topic in a better way. These questions will help you to crack the various competitive exams.

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## Clocks Practice Questions: Level 01

Solve the given problems based on clocks. Also, the answer key and explanations are given for the same.

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Q.1. At what time between 5 and 6 are the hands 8 minute spaces apart?

A. 24 min past 5 B. 30 min past 5 C. 36 min past 5 D. 20 min past 5

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Q.2. The minute hand of a clock overtakes the hour hand at intervals of 63 minutes of correct time. How many minutes in a day does the clock lose or gain?

A. 58(4/71)min B. 54(6/81)min C. 55(7/70)min D. 56(8/77)min

Q.3. A watch which gains uniformly is 6 min slow at 5 p.m. on Monday. On the following Monday at 9 am, it was 10 min 40 seconds fast. When was it correct?

A. 8 : 36 pm. on Thursday

B. 2 : 36 am on Thursday

C. 2 : 36 pm. on Thursday

D. 8 : 36 am on Thursday

Q.4. At what angle are the hands of a clock inclined at 30 minutes past 8?

A. 95° B. 75° C. 92° D. 97.5°

Q.5. How many times are the hands of a clock at right angles in a span of twenty four hours?

A. 48 times B. 44 times C. 46 times D. 22 times

Clock Problems: Concepts and Shortcuts

Clock problems: Solved examples

Clocks Practice Questions: Level 01

Clock Practice Questions: Level 02

Q.6. How many times in a span of 24 hours are the hands of a clock straight (that is either overlap or exactly opposite to each other) ?

A. 43 times B. 46 times C. 45 times D. 44 times

Q.7. Find at what time between 7 o’clock and 8 o’clock will the hands of a clock be in the same straight line but not overlap each other.

A. 10(9/11) min past 8

B. 5(5/11) min past 7

C. 10(8/11) min past 8

D. 10(7/11) min past 8

Q8. When the hands of a clock show 4 o’clock, the angle between them is

A. 100° B. 120° C. 130° D. 150°

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Q9. In one and half hours, the minute hand of a clock rotates through an angle of

A. 720° B. 540° C. 600° D. 420°

Q10. A clock is set right at 10 a.m. on Monday. The clock loses 15 min. in 24 hrs. What will be the true time when the clock indicates 4 am on the following Saturday?

A. 5:12 am B. 5:32 am C. 6:32 am D. 5:48 am

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### Problems on Numbers System : Level 02

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## [Solved] A watch which gains uniformly is 5 minutes slow at 9 o&rsquo

In defective clock slow - fast type we use formula Time = ((S/F)/S + F)) × total time Note: In numerator we take that value whichever comes first in the

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## A watch which gains uniformly is 5 minutes slow at 9 o’clock in morning on Monday and is 5 min 48 seconds fast at 9 pm on following Monday. Then when was it correct?

Thursday 8:20 Friday 8:20 Thursday 7:20 Saturday 8:20 Friday 7:20

Option 1 : Thursday 8:20

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## Detailed Solution

In defective clock slow - fast type we use formula

Time = ((S/F)/S + F)) × total time

Note: In numerator we take that value whichever comes first in the question, and total time is the time which clock moves in the question.

The following Monday = Monday of the next week (7 days).

Total time = 24 × 7 = 168 hrs + 12 hrs (9 am to 9 pm).

Total time = 180 hours.

Here, 5 minute comes first.

5 minutes 48 seconds = 5 + 48/60 = 5 + 4/5 = 29/5.

Thus, (5/(5 + 29/5)) × 180 = 83 hrs 20 minutes

Thus, after 83 hrs 20 minutes from Monday 9 am, the clock shows the correct time.

I.e. Thursday 8:20 pm.

Hence, correct answer will be Thursday 8:20.

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## More Clock and Calendar Questions

Q1. If Rahul claims that the hour hand of his watch makes three-fourth of a revolution in clockwise direction, then where will the hand be if it starts at 5 p.m.?Q2. What is the angle between the minute hand and hour hand when the time shown on the clock is 4 p.m.?Q3. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:Q4. An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?Q5. How many times do the hands of a clock coincide in a day?Q6. On 6th March, 2005 Monday falls. What was the day of the week was it on 6th March, 2004 ?Q7. January 1, 2007 was Monday. What day of the week lies on Jan 1, 2008 ?Q8. What was the day of the week on 17th June, 1998 ?Q9. Select the time that would depict the correct mirror image of 4:40 in a clock.Q10. November 17, 2017 falls on Friday. In which of the following years will 17th November fall again on Friday?

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Mohammed 2 month ago

Guys, does anyone know the answer?