Latest TCS Aptitude Question SOLUTION: 1. At what time between 6 and 7 are the hands of the clock coincide? • a. 6:13 • b. 6:36 • c. 6:32 8;/11 • d. 6:35 8/11

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(#M40011123) TCS Numerical Ability question Keep an EYE

1. At what time between 6 and 7 are the hands of the clock coincide?
• a. 6:13
• b. 6:36
• c. 6:32 8;/11
• d. 6:35 8/11

Asked In TCS aanchal sharma (11 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

Yogeswari N  (11 years ago)

the formula to calculate angle is angle=(11/2)*mins-(30*hours)
if they coincide angle will be 0 degree
so 0=(11/2)*mins-(30*6)
solving this we get 6hrs 32(8/11)mins they coincide

Is this solution Helpfull? Yes (24) | No (3)  

Jack  (11 years ago)

Here is a short cut.
Let t = time required after 6:00.
The rotational speed of hour hand is 30 degrees/hr;
The rotational speed of minute hand is 360 degrees/hr.
So, 30t + 180 = 360t
on solving t = 6/11 hrs ~ 6:32 8;/11

So ans c. 6:32 8;/11

Is this solution Helpfull? Yes (17) | No (2)  

Lovejeet Singh  (11 years ago)

Hour and Minute hand Overlap after 65 min(approx)
0000 (12:00 AM)
0105 (01:05 AM)
0211 (02:11 AM)
0316 (03:16 AM)
0422 (04:22 AM)
0527 (05:27 AM)
0633 (06:33 AM)
0738 (07:38 AM)
0844 (08:44 AM)
0949 (09:49 AM)
1055 (10:55 AM)
1200 (12:00 PM)
1305 (01:05 PM)
1411 (02:11 PM)
1516 (03:16 PM)
1622 (04:22 PM)
1727 (05:27 PM)
1833 (06:33 PM)
1938 (07:38 PM)
2044 (08:44 PM)
2149 (09:49 PM)
2255 (10:55 PM)

Note:Alternative there is increase of 1 min after 2 hours from 12 to 12 !!!

Is this solution Helpfull? Yes (7) | No (1)  

ZP  (9 years ago)

Let after t minutes they will be coincide .
then
1. angle between hour and minute hand clock at 6 clock = 6* 30 = 180
2. in t minutes min. hand over the hour hand = t* 5.5 = 5.5t

in coincide angle between them zero so = 180-5.5t =0
..................................................................t= 32.7 min . ..... answer is 6:32.7 min

Is this solution Helpfull? Yes (1) | No   

Vipin Kumar  (9 years ago)

in 1h minute hand covers=360 degree
in 1 h hour hand covers=30 degree
=>in 1 min minute hand covers=60 degree
=>in 1 min hour hand covers=0.5 degree
so the two hands will obviously meet after 6.30
so at 6.30 hour hand will be 15 degree(0.5 degree*30 min=15 degree) ahead of minute hand
So we assume that they meet after x minutes after 6.30 then
15+0.5x=6x
=>x=2.7
=>they meet at 6.32.7 precisely or 6.32

Is this solution Helpfull? Yes (1) | No   

salman khan  (8 years ago)

option d 6:35 8/11

Is this solution Helpfull? Yes (1) | No (3)  

dola  (11 years ago)

6 hr 32.7272 min

Is this solution Helpfull? Yes | No   

A  (9 years ago)

Ans:-c
i had solved

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Kumar Gaurav  (8 years ago)

angle is calculated by angle=(11/2)m-30*h , where m=minutes,h=hours

Now if the,hour and minute hands coincide then angle will be 0 degree

Hence,by using above formula and putting angle=0 degree and h=6 ,we get
6 :32 8;/11 => ANS(C)

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G.Mounika  (7 years ago)

As we know for every 1 hour thte hands coincide at 1:05:5/11
As per the ques it is multiplied by 6 so 6:30:30/11
so we have 6:32:8/11

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priyanka  (7 years ago)

can u explain y u are taking 10 a+b or 10 x+y in L.H.S

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s hotta  (7 years ago)

Ans. Total =360
For hour = 360/12 = /hr
For Minute = full rotation = /hr
Let the line is 't' , for 6 = 6*30=
30 t + 180=360 t
330t = 180
t = 180/330
t = 6/11 hr 6/11*60=360/11=32
Ans. is 6:32

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Yekula Pratyusha  (5 years ago)

let us take angle 0 degrees because both hands are coincide
x=(11/2)m-30h
0=(11/2)m-30(6)
m=32 8/11
time=6:32 8/11

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Varsha gurjar  (5 years ago)

Here is a short formula for every coinside questions -> (t*60)/11
So, t= small hour (in this question, it is 6)

t*60/11 = 6*60/11 = 360/11 = 32,8/11
So the answer is = 6 hr 32,8/11

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