clock ques
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apto quantTRANSCRIPT
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Java
o Basic Java Programming Tutorials
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Overview of Threads
Create Threads by extending Thread Class
Create Threads by implementing Runnable interface
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Online Tests
Aptitude Q&A
Speed Mathematics
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o
Difference between Google Analytics and Google Webmaster Tools
o Career Options after 12th
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Home>Quantitative aptitude questions and answers with
explanation>Clock> Solved Examples
1.
Important Formulas
2. Solved Examples
1. An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour
hand rotate when the clock shows 2 o'clock in the afternoon?
A. 154 B. 180
C. 170 D. 160
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Here is the answer and explanation
Answer : Option B
Explanation :
We know that Angle traced by hour hand in 12 hrs = 360
From 8 to 2, there are 6 hours
The angle traced by the hour hand in 6 hours = 636012=180
2. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through
A. 155 B. 145
C. 152 D. 140
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Answer : Option A
Explanation :
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We know that Angle traced by hour hand in 12 hrs = 360
Time duration from noon to 10 minutes past 5 = 5 hours 10
minutes=51060hour=316hours Hence the angle traced by hour hand from noon to 10 minutes
past 5 = 31636012=31630=315=155
3. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line
but, not together?
A. 5 minutes past 7 B. 5311 miinutes past 7
C. 5111 minutes past 7 D. 5511 minutes past 7
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Answer : Option D
Explanation :
The two hands of a clock will be in the same straight line but not togetherbetween H and (H + 1)
o' clock at(5H30)1211 minutes past H, when H >6(5H+30)1211 minutes past H, when H
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they will be 30 minutes apart.
At 7'o clock, the hands of the clock are 25 minutes apart.Hence the minutehand should
gain 5 minutes so that the hands will be 30 minutes apart
We know that, in 60 minutes, the minute hand gains 55 minutes on the hour on the hour
hand.Hence to gain 5 minutes for the minute hand, time needed
= 60555=6011 minutes=5511 minutesThat means when the time is 5511 minutes past 7, the
hands of a clock will be inthe same straight line but, not together
4. At what time between 5.30 and 6 will the hands of a clock be at right angles?A. 44 minutes past 5 B. 44711 minutes past 5
C. 43711 minutes past 5 D. 43 minutes past 5
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Answer : Option C
Explanation :
The two hands of the clock will be at right angles between H and (H + 1) o' clock
at(5H15)1211minutes past H 'o clock
Let's see the times at which right angles are formed between 5 and 6
Let's take H=5. Hence the two hands will be at right angles between 5 and 6
at(5515)1211minutes past 5 'o clock=(2515)1211minutes past 5 'o clock=101211minutes
past 5 'o clock and 401211minutes past 5 'o clock=12011minutes past 5 'o clock
and 48011minutes past 5 'o clock=101011minutes past 5 'o clock and 43711minutes past 5 'o
clock101011minutes past 5 comes before 5.30. 43711minutes past 5 comes between 5.30and 6.
The question is to find out the time between 5.30 and 6 when the hands of aclock will be at right
angles.Hence the time is 43711minutes past 5
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-------------------------------------------------------------------------------------
--
Solution 2
---------------------------------------------------------------------------------------
Its better to use formula as it can save lots of time in exams. However weshould understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
At 5, the hands are 25 minutes spaces apart
To get a right angle when the time is between 5.30 and 6,
the minute hand has to gain (25 + 15) = 40 minutes
We know that, in 60 minutes, the minute hand gains 55 minutes on the hour
on the hour hand.
Hence to gain 40 minutes for the minute hand, time needed
= 605540=121140=48011=43711 minutesThat means when the time is 43711 minutes past 5,
the hands of a clock will beat right angles
5. At what angle the hands of a clock are inclined at 15 minutes past 5?
A. 6712 B. 6212
C. 70 D. 6334
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Here is the answer and explanation
Answer : Option A
Explanation :
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Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 5, M = 15 and the minute hand is behind the hour hand. Hence the
angle
=30(HM5)+M2=30(5155)+152=30(53)+7.5=302+7.5=67.5
-------------------------------------------------------------------------------------
--
Solution 2
---------------------------------------------------------------------------------------
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
15 minutes past 5 = 5 hour 15 minutes = 51560 hour=514 hour = 214 hour
Angle traced by hour hand in 12 hours = 360
Hence Angle traced by hour hand in 214 hour=36012214=30214=305.25=157.5
Angle traced by minute hand in 60 minutes = 360
Angle traced by minute hand in 15 minutes = 3606015=90
Required angle = 157.5 - 90 = 67.5
6. At 3.40, the hour hand and the minute hand of a clock form an angle of
A. 135 B. 130
C. 120 D. 125
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Hide Answer
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Here is the answer and explanation
Answer : Option B
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 3, M = 40 and minute hand is ahead of the hour hand. Hence theangle
=30(M5H)M2=30(4053)402=30(83)20=30520=130
-------------------------------------------------------------------------------------
--
Solution 2
---------------------------------------------------------------------------------------
Its better to use formula as it can save lots of time in exams. However weshould understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
3.40 = 3 hour 40 minutes = 34060 hour=323 hour = 113 hour
Angle traced by hour hand in 12 hours = 360
Hence Angle traced by hour hand in 113 hour=36012113=30113=1011=110
Angle traced by minute hand in 60 minutes = 360
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Angle traced by minute hand in 40 minutes = 3606040=240
Required angle = 240 - 110= 130
7. The angle between the minute hand and the hour hand of a clock when the time is 8.30, isA. 75 B. 85
C. 80 D. 70
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Here is the answer and explanation
Answer : Option A
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 8, M = 30 and minute hand is behind the hour hand. Hence the
angle
=30(HM5)+M2=30(8305)+302=30(86)+15=302+15=75
-------------------------------------------------------------------------------------
--
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
8.30 = 8 hour 30 minutes = 812 hour=172 hour
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Angle traced by hour hand in 12 hours = 360
Hence Angle traced by hour hand in 177 hour=36012172=30172=1517=255
Angle traced by minute hand in 60 minutes = 360
Angle traced by minute hand in 30 minutes = 3606030=180
Required angle = 255- 180= 75
8. How many times in a day, are the hands of a clock in straight line but opposite in direction?
A. 48 B. 22
C. 24 D. 12Hide Answer
|
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|Discuss
Here is the answer and explanation
Answer : Option B
Explanation :
The hands of a clock point in opposite directions (in the same straight line,making an
angle 180 between them) 11 times in every 12 hours because between 5and 7 they
point in opposite directions at 6 'o clock only.
Hence the hands point in the opposite directions 22 times in a day
However this is already given as a formula and its is better to by heart the
answer as 22
which can save time in competitive exams.(However if you should know thetheory behind)
http://shownb%288%29/http://shownb%288%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002358.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002358.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002358.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002358.phphttp://shownb%288%29/ -
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9. At what time between 3 o'clock and 4 o'clock, both the needles of a clock will coincide each
other?
A. 16211 minutes past 3 B. 16411 minutes past 3
C. 15411 minutes past 3 D. 15211 minutes past 3
Hide Answer|
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Here is the answer and explanation
Answer : Option B
Explanation :
The two hands of a clock will be together between H and (H+1) o' clock at (60H11)minutes past
H o' clock.
Here H = 3. Hands will be together at 60H11minutes past 3=60311minutes past
3=18011minutes past 3=16411minutes past 3
-------------------------------------------------------------------------------------
--
Solution 2
-------------------------------------------------------------------------------------
--Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
At 3 o' clock, the hands are 15 minute spaces apart
Hence minute hand needs to gain 15 more minute spaces so that the hands
will coincide
each other
http://shownb%289%29/http://shownb%289%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002359.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002359.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002359.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion0000002359.phphttp://shownb%289%29/ -
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We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
in 60 min
Hence time taken for gaining 15 minute spaces by minute hand
=605515 minute=121115 minute=18011minute=16411 minuteHence hands will will coincide
at 16411 minute past 3
10. How many times will the hands of a clock coincide in a day?
A. 24 B. 22
C. 20 D. 21
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Here is the answer and explanation
Answer : Option B
Explanation :
The hands of a clock coincide 11 times in every 12 hours (Between 11 and 1,they coincide
only once, at 12 o'clock).
12:00 am
1:05 am
2:11 am
3:16 am
4:22 am
5:27 am
6:33 am
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7:38 am
8:44 am
9:49 am
10:55 am
12:00 pm
1:05 pm
2:11 pm
3:16 pm
4:22 pm
5:27 pm
6:33 pm
7:38 pm
8:44 pm
9:49 pm
10:55 pm
Hence the hands coincide 22 times in a day.
However this is already given as a formula and its is better to by heart the
answer as 22
which can save time in competitive exams.(However if you should know thetheory behind)
11. How many times in a day, the hands of a clock are straight
A. 22 B. 44
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C. 48 D. 24
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Here is the answer and explanation
Answer : Option B
Explanation :
The hands of a clock point in opposite directions (in the same straight line,
making an
angle 180 between them) 11 times in every 12 hours because between 5
and 7 they
point in opposite directions at 6 'o clock only. Hence the hands point in the
oppositedirections 22 times in a day
The hands of a clock coincide(0 between them) 11 times in every 12
hours
(Between 11 and 1, they coincide only once, at 12 o'clock). Hence the hands
coincide 22 times
in a day.
So In 24 hours, the hands come in opposite direction or coincide 44 times .
However this is already given as a formula and its is better to by heart theanswer as 44
which can save time in competitive exams.(However if you should know thetheory behind)
12. How much does a watch lose per day, if its hands coincide every 64 minutes?
A. 34111 minute B. 32811 minute
C. 31 minute D. 33211 minute
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Answer : Option B
http://shownb%2811%29/http://shownb%2811%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023511.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023511.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023511.phphttp://shownb%2812%29/http://shownb%2812%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023512.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023512.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023512.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023512.phphttp://shownb%2812%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023511.phphttp://shownb%2811%29/ -
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Explanation :
The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time.
The clock gains or loses in a day by=(72011M)(6024M) minutes
Here M = 64. The clock gains or losses in a day by
=(72011M)(6024M)=(7201164)(602464)=1611(6038)=211(603)=36011=32811 minutes
-------------------------------------------------------------------------------------
--Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
in 60 min
=> Time taken by the minute hand to gain 60 min spaces in a normal clock
= 605560=121160=72011=65511 min
In the given watch, hands coincide every 64 minutes. In another words,
minute hand
gains 60 min spaces in every 64 minutes for the given watch.
Loss in 64 min = 6551164=1511=1611 minute Loss in 24 hours
= 16111642460=111142460=36011=32811 minute
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13. At what time between 9 and 10 o' clock will the hands of a clock be together?
A. 4529 min past 9 B. 49111 min past 9
C. 48112 min past 9 D. 47215 min past 9
Hide Answer
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Here is the answer and explanation
Answer : Option B
Explanation :
The two hands of a clock will be together between H and (H+1) o' clock at (60H11)minutes past
H o' clock.
Here H = 9. Hands will be together at 60911minutes past 9=54011minutes past
9=49111minutes past 9
-------------------------------------------------------------------------------------
--
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However itsbetter
to understand the basics. Please find the method given below to solve the
same problem
in the traditional way.
At 9 o' clock, the hands are 45 minute spaces apart
Hence minute hand needs to gain 45 more minute spaces so that the hands
will coincide
each other?
We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
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in 60 min
Hence time taken for gaining 45 minute spaces by minute hand
=605545 minute=121145 minute=54011minute=49111 minuteHence hands will coincideat 49111 minute past 9
14. At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
A. 53611 minutes past 4 B. 53711 minutes past 4
C. 54611 minutes past 4 D. 54711 minutes past 4
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Here is the answer and explanation
Answer : Option C
Explanation :
The two hands of a clock will be in the same straight line but not together between H and (H + 1)
o' clock at(5H30)1211 minutes past H, when H >6(5H+30)1211 minutes past H, when H
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At 4 o' clock, the hands are 20 minute spaces apart
Hence minute hand needs to gain 50 more minute spaces so that the hands
will
point in opposite directions.
We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
in 60 min
Hence time taken for gaining 50 minute spaces by minute hand
=605550 minute=121150 minute=60011minute=54611 minuteHence hands will point in
opposite directions at 54611 minute past 4
15. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the
same day, when the watch indicated quarter past 4 o'clock, the true time is
A. 3 pm B. 3.45 pm
C. 3.30 pm D. 4 pm
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Here is the answer and explanation
Answer : Option D
Explanation :
Time from 7 am to 4.15 pm = 9 hours 15 minutes = 914 hours=374 hours3 minute 5 seconds of
the given clock = 3 minutes of a normal clock3112 minutes of the given clock = 3 minutes of anormal clock
3712 minutes of the given clock = 3 minutes of a normal clock
37720 hours of
the given clock = 360 hours of a normal clock37720 hours of the given clock = 120 hours of anormal clock374 hours of the given clock = 12072037374 hours of the given clock= 9 hoursof the given clockHence the correct time = 9 hours after 7 am = 4 pm
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16. How many times are the hands of a clock at right angle in a day?
A. 48 B. 44
C. 24 D. 22
Hide Answer
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Here is the answer and explanation
Answer : Option B
Explanation :
In 12 hours, hands of a clock are at right angles at 22 times.
In 24 hours, hands of a clock are at right angles at 44 times.
17. A watch which gains uniformly is 2 minutes low at noon on and is 4 min 48 sec fast at 2 pm
on the following Monday. When was it correct?
A. 2 pm on Tuesday B. 3 pm on Wednesday
C. 2 pm on Wednesday D. 3 pm on Tuesday
Hide Answer
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Here is the answer and explanation
Answer : Option C
Explanation :
Time from Monday noon (12 o' clock) to following Monday 2 pm = 7 day 2
hours
=724+2=168+2=170 hours
Total time gained Monday noon (12 o' clock) to following Monday 2 pm = 2
min + 4 min 48 sec
= 6 min 48 sec = 64860 mins = 645 mins = 345 mins
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=> The given watch gains 345 mins in 170 hours
Given that the said watch was 2 minutes low at Monday noon. Hence when it
gained 2 minutes,
the time was correct.
The given watch gains 345 mins in 170 hours=> The given watch gains 2 mins
in 1705342 hours=552 hours = 50 hours
Hence the time was correct after 50 hours from Monday noon
= after 2 days 2 hours from Monday noon = 2 pm on Wednesday
18. What is the reflex angle between the hands of a clock at 10.25?
A. 195 B. 19712
C. 180 D. 19312
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Here is the answer and explanation
Answer : Option B
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 10 , M = 25 and the minute hand is behind the hour hand. Hencethe angle
=30(HM5)+M2=30(10255)+252=30(105)+12.5=305+12.5=150+12.5=162.5
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But the question is to find out the reflex angle.
Reflex angle = 360 - 162.5 = 197.5
-------------------------------------------------------------------------------------
--
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
10 hour 25 minutes = 102560hour=10512hour=12512hour
Angle traced by hour hand in 12 hrs = 360
Angle traced by hour hand in 12512 hour
= 3601212512=3012512=101254=1031.25=312.5
Angle traced by minute hand in 60 min. = 360.
Angle traced by minute hand in 25 min. = 3606025=625=150.
Angle between the hands of the clock when the time is 10.25 = 312.5 -150
=162.5 .
Reflex angle = 360 - 162.5 = 197.5
19. The angle between the minute hand and the hour hand of a clock when the time is 4.20 is
A. 10 B. 5
C. 0 D. 1
Hide Answer|Discuss
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|
Notebook
Here is the answer and explanation
Answer : Option A
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 4, M = 20 the minute hand is slightly behind the hour hand. Hence
the angle
=30(HM5)+M2=30(4205)+202=30(44)+10=300+10=10
-------------------------------------------------------------------------------------
-
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
4 hour 20 minutes = 413hour=133hour
Angle traced by hour hand in 12 hrs = 360
Angle traced by hour hand in 133 hour = 36012133=30133=1013=130
Angle traced by minute hand in 60 min. = 360.
Angle traced by minute hand in 20 min. = 3606020=620=120.
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Angle between the hands of the clock when the time is 4.20 = 130 - 120
=10.
20. A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, what will be the true time
when the clock indicates 10 pm on 4th day?A. 9.30 pm B. 10 pm
C. 10.30 pm D. 11 pm
Hide Answer|
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|Discuss
Here is the answer and explanation
Answer : Option D
Explanation :
Time from 5 am to 10 pm on the 4th day = 3 days 17 hours = 324+17=89 hoursGiven that clock
loses 16 minutes in 24 hours>23 hour 44 minutes of the given clock = 24 hours in a normalclock234460 hours of the given clock = 24 hours in a normal clock231115 hours of thegiven clock = 24 hours in a normal clock35615 hours of the given clock = 24 hours in anormal clock89 hours of the given clock = 241535689 hours in a normalclock=24154=615=90 hoursSo the correct time is 90 hours after 5 am = 3 days 18 hours after
5 am = 11 pm on the 4th day
21. What is the angle between the hour and the minute hand of a clock when the time is 3.25?
A. 47 B. 4612
C. 46 D. 4712
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Here is the answer and explanation
Answer : Option D
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
http://shownb%2820%29/http://shownb%2820%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023520.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023520.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023520.phphttp://shownb%2821%29/http://shownb%2821%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023521.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023521.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023521.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023521.phphttp://shownb%2821%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023520.phphttp://shownb%2820%29/ -
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Here H = 3, M = 25 and the minute hand is ahead of the hour hand. Hence
the angle
=30(M5H)M2=30(2553)252=30(53)12.5=30212.5=6012.5=47.5
-------------------------------------------------------------------------------------
--Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the sameproblem in
the traditional way.
3 hour 25 minutes = 32560hour=3512hour=4112hour
Angle traced by hour hand in 12 hrs = 360
Angle traced by hour hand in 4112 hour = 360124112=304112=10414=1010.25=102.5
Angle traced by minute hand in 60 min. = 360.
Angle traced by minute hand in 25 min. = 3606025=625=150.
Angle between the hands of the clock when the time is 10.25 = 150 -
102.5 = 47.5 .
22. At what time between 8 and 9 o'clock will the hands of a clock are in the same straight line
but not together?
A. 11811 minutes past 8 B. 10811 minutes past 8
C. 111011 minutes past 8 D. 101011 minutes past 8
Hide Answer|
|Discuss
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Notebook
Here is the answer and explanation
Answer : Option D
Explanation :
The two hands of a clock will be in the same straight line but not togetherbetween H and (H + 1)
o' clock at(5H30)1211 minutes past H, when H >6(5H+30)1211 minutes past H, when H
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Hence time taken for gaining 10 minute spaces by minute hand
=605510 minute=121110 minute=12011minute=101011 minuteHence hands will be in
opposite direction at 101011 minute past 8
23. At what time between 2 and 3 o'clock will the hands of a clock be together?
A. 91111 minutes past 2 B. 91011 minutes past 2
C. 101111 minutes past 2 D. 101011 minutes past 2
Hide Answer
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Here is the answer and explanation
Answer : Option D
Explanation :
The two hands of a clock will be together between H and (H+1) o' clock at (60H11)minutes past
H o' clock.
Here H = 2. Hands will be together at 60211minutes past 2=12011minutes past
2=101011minutes past 2
---------------------------------------------------------------------------------------
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However we
should understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
At 2 o' clock, the hands are 10 minute spaces apart
http://shownb%2823%29/http://shownb%2823%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023523.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023523.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023523.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023523.phphttp://shownb%2823%29/ -
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Hence minute hand needs to gain 10 more minute spaces so that the hands
will be
in opposite direction
We know that 55 min spaces are gained by minute hand (with respect tohour hand)
in 60 min
Hence time taken for gaining 10 minute spaces by minute hand
=605510 minute=121110 minute=12011minute=101011 minuteHence hands of the clock will
be together at 101011 minute past 2
24. At what time between 5 and 6 'o clock, will the hands of a clock be at right angle?
A. 101011 minutes past 5 and 43711 minutes
past 5
B. 101011 minutes past 5 and 42711 minutes
past 5
C. 10911 minutes past 5 and 42711 minutes
past 5
D. 10911 minutes past 5 and 42711 minutes
past 5
Hide Answer
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Here is the answer and explanation
Answer : Option A
Explanation :
The two hands of the clock will be at right angles between H and (H + 1) o' clock
at(5H15)1211minutes past H 'o clock
Here H=5. Hence the two hands will be at right angles between 5 and 6 at(5515)1211minutes
past 5 'o clock=(2515)1211minutes past 5 'o clock=101211minutes past 5 'o clock
and 401211minutes past 5 'o clock=12011minutes past 5 'o clock and 48011minutes past 5 'o
clock=101011minutes past 5 'o clock and 43711minutes past 5 'o clock
-------------------------------------------------------------------------------------
--
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Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However itsgood to
understand the basics. Please find the method given below to solve the
same problem in
the traditional way.
At 5, the hands are 25 minutes spaces apart
To get first right angle ,the minute hand has to gain 25 - 15 = 10 minutes
To get second right angle ,the minute hand has to gain 25 + 15 = 40
minutes
We know that, in 60 minutes, the minute hand gains 55 minutes on the houron the hour hand.
To gain 10 minutes for the minute hand, time needed
= 605510=121110=12011=101011 minutesHTo gain 40 minutes for the minute hand, time
needed = 605540=121140=48011=43711 minutesThat means when the time
is 101011 minutes past 5 and 43711 minutes past 5,the hands of a clock will be at right angles
25. The minute hand of a clock overtakes the hour hand at intervals of 65 minutes. How much a
day does the clock gain or loss?
A. 109143 minutes B. 119143 minutes
C. 1110143 minutes D. 1010143 minutes
Hide Answer|
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Here is the answer and explanation
Answer : Option D
Explanation :
http://shownb%2825%29/http://shownb%2825%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023525.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023525.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023525.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023525.phphttp://shownb%2825%29/ -
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The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time.
The clock gains or loses in a day by=(72011M)(6024M) minutes
Here M = 65. The clock gains or losses in a day by
=(72011M)(6024M)=(7201165)(602465)=511(122413)=1440143=1010143 minutes
26. Find the time between 4 and 5'o clock, when the two hands of a clock are 4 minutes apart?
A. 26211 minutes past 4 and 17511 minutes
past 4
B. 26111 minutes past 4 and 17511 minutes
past 4
C. 26211 minutes past 4 and 17411 minutes
past 4
D. 26111 minutes past 4 and 17411 minutes
past 4
Hide Answer|
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|Discuss
Here is the answer and explanation
Answer : Option A
Explanation :
Bbetween H and (H + 1) o' clock, the two hands of a clock are M minutes apart
at(5HM)1211minutes past H 'o clock
Here H=4 and M=4. Hence the two hands are 4 minutes apart between 4 and 5
at(544)1211minutes past 4 'o clock=(204)1211minutes past 4 'o clock=161211minutes past
4 'o clock and 241211minutes past 4 'o clock=19211minutes past 4 'o clock and 28811minutes
past 4 'o clock=17511minutes past 4 'o clock and 26211minutes past 4 'o clock
-------------------------------------------------------------------------------------
--
Solution 2
---------------------------------------------------------------------------------------
Its better to use formula as it can save lots of time in exams. However
please find
the method given below to solve the same problem in the traditional way.
http://shownb%2826%29/http://shownb%2826%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023526.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023526.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023526.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023526.phphttp://shownb%2826%29/ -
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At 4 o' clock, the hands are 20 minute spaces apart
To get the first 4 between the hands ,the minute hand has to gain 20 - 4 =
16 minute spaces
To get the second 4between the hands ,the minute hand has to gain 20 + 4= 24 minute spaces
We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
in 60 min
Time taken for gaining 16 minute spaces by minute hand
=605516 minute=121116 minute=19211minute=17511 minutes
Time taken for gaining 24 minute spaces by minute hand
=605524 minute=121124 minute=28811minute=26211 minutesHence hands of the clock are 4
minutes apart at 17511 minutes past 4 and 26211 minute past 4
27. At what time between 5 and 6 will the hands of the clock coincide?
A. 26211 minutes past 5 B. 26311 minutes past 5
C. 28311 minutes past 5 D. 27311 minutes past 5
Hide Answer
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Here is the answer and explanation
Answer : Option D
Explanation :
The two hands of a clock will be together between H and (H+1) o' clock at (60H11)minutes past
H o' clock.
http://shownb%2827%29/http://shownb%2827%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023527.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023527.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023527.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023527.phphttp://shownb%2827%29/ -
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Here H = 5. Hands will be together at 60511minutes past 5=30011minutes past
5=27311minutes past 5
-------------------------------------------------------------------------------------
--
Solution 2-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However weshould understand
the basics for sure. Please find the method given below to solve the same
problem in
the traditional way.
At 5 o' clock, the hands are 25 minute spaces apart
Hence minute hand needs to gain 25 more minute spaces so that the hands
will be
in opposite direction
We know that 55 min spaces are gained by minute hand (with respect tohour hand)
in 60 min
Hence time taken for gaining 25 minute spaces by minute hand
=605525 minute=121125 minute=30011minute=27311 minuteHence hands of the clock will
be together at 27311 minute past 5
28. At what time between 6 and 7 will the hands be perpendicular
A. 48111 minutes past 6 and 16411 minutes
past 6B. 48 minutes past 6 and 16311 minutes past 6
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C. 49111 minutes past 6 and 16411 minutes
past 6
D. 48211 minutes past 6 and 16311 minutes
past 6
Hide Answer
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Here is the answer and explanation
Answer : Option C
Explanation :
The two hands of the clock will be at right angles between H and (H + 1) o' clock
at(5H15)1211minutes past H 'o clock
Here H=6. Hence the two hands will be at right angles between 6 and 7 at(5615)1211minutespast 6 'o clock=(3015)1211minutes past 6 'o clock=151211minutes past 6 'o clock
and 451211minutes past 6 'o clock=18011minutes past 6 'o clock and 54011minutes past 6 'o
clock=16411minutes past 6 'o clock and 49111minutes past 6 'o clock
-------------------------------------------------------------------------------------
--
Solution 2
-------------------------------------------------------------------------------------
--
Its better to use formula as it can save lots of time in exams. However its
better to
understand the basics. Please find the method given below to solve the
same problem in
the traditional way.
At 5 o' clock, the hands are 30 minute spaces apart
Hence minute hand needs to gain 15 more minute spaces or 45 more
minute spaces
so that the hands will be in right angles (90 between them)
http://shownb%2828%29/http://shownb%2828%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023528.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023528.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023528.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023528.phphttp://shownb%2828%29/ -
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We know that 55 min spaces are gained by minute hand (with respect to
hour hand)
in 60 min
Hence time taken for gaining 15 minute spaces by minute hand
=605515=121115=18011=16411minutes
Hence time taken for gaining 45 minute spaces by minute hand
=605545=121145=54011=49111 minutes
Hence the hands will be perpendicular at 16411 minutes past 6 and49111 minutes past 6
29. What is the angle between the hands at 4.40?
A. 95 B. 100
C. 120 D. 110
Hide Answer
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Here is the answer and explanation
Answer : Option B
Explanation :
Angle between Hands of a clockWhen the minute hand is behind the hour hand, the
anglebetween the two hands at M minutes past H'o clock=30(HM5)+M2 degreeWhen the
minute hand is ahead of the hour hand, the anglebetween the two hands at M minutes past H'o
clock=30(M5H)M2 degree
Here H = 4, M = 40 the minute hand is ahead of the hour hand. Hence the
angle
http://shownb%2829%29/http://shownb%2829%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023529.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023529.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023529.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023529.phphttp://shownb%2829%29/ -
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=30(M5H)M2=30(4054)402=30(84)20=30420=100
-------------------------------------------------------------------------------------
-
Solution 2
---------------------------------------------------------------------------------------
Its better to use formula as it can save lots of time in exams. However its
better
to understand the basics. Please find the method given below to solve the
same problem
in the traditional way.
4 hour 40 minutes = 423hour=143hour
Angle traced by hour hand in 12 hrs = 360
Angle traced by hour hand in 143 hour = 36012143=30143=1014=140
Angle traced by minute hand in 60 min. = 360.
Angle traced by minute hand in 40 min. = 3606040=640=240.
Angle between the hands of the clock when the time is 4.40 = 240 - 140=100.
30. A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is
A. 33 seconds B. 30 seconds
C. 36 seconds D. 27 seconds
Hide Answer
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Here is the answer and explanation
Answer : Option A
Explanation :
There are 3 intervals when the clock strikes 4Time taken at 3 intervals = 9 seconds
http://shownb%2830%29/http://shownb%2830%29/http://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023530.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023530.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023530.phphttp://www.careerbless.com/aptitude/qa/discuss/clock/discussion00000023530.phphttp://shownb%2830%29/ -
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Time taken for 1 interval = 93=3 seconds
In order to strike 12, there are 11 intervals. Hence time needed
=311=33 seconds
Comments(35) Newest
umesh13 Aug 2014 12:51 AMi didn't understand last one..........is anyone to explain it?
Like|Dislike|Reply|Flag
chandu09 Aug 2014 11:02 AM
good explanations thanksLike|Dislike|Reply|Flag
priyal24 Jun 2014 7:21 PMwhat time does the clock shows when the hour hand is between 3 and 4 and
the angle between the two hands of the clock is 50 degree?Like|Dislike|Reply|Flag
Neeraj Gupta24 Jun 2014 11:43 PM
at 3, hour hand is ahead by 90 degree
In another words, minute hand should gain 40 degree so that angle between
two hands will be 50 degree
in 60 minutes, minute hand gains 55 minutes or 330 degree
For the minute hand to gain 40 degree, time needed 60/330 * 40
= 7 3/11 minutes
when the time is 7 3/11minutes past 3, the angle between the two
hands of the clock will be 50 degreeLike|Dislike|Reply|Flag
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sanjay sah13 Jun 2014 8:29 PM
it helped me alot........Like|Dislike|Reply|Flag
Divya09 Jun 2014 3:40 PMAt what time between 8 and 9, the hand of the clock show right angle?
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Jay10 Jun 2014 1:21 PM
i.e., the hands should be 15 minutes apart.
At 8'o clock, hands of the clock are 20 minutes apart.
=> the minute hand needs to gain 25 minutes so that the hands will be 15
minutes apart (45 minutes , effectively 15 minutes on the other side)
In 60 minutes, the minute hand gains 55 minutes on the hour on the hour
hand.
Hence to gain 25 minutes for the minute hand, time needed
= (60/55)*25 = 300/11 minutes = 27 3/11minutes
i.e, when the time is 20 8/11 minutes past 8, the hand of the clock will show
right angle
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AppleSauce on Toast24 Apr 2014 5:44 PM
Thanks man :) This is helping a lot!! Cheerios!Like|Dislike|Reply|Flag
neha03 Mar 2014 1:20 PM
good site....
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ramana14 Feb 2014 9:48 PM
tnk u who are maintain this siteLike|Dislike|Reply|Flag
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