Latest Capgemini Aptitude Question SOLUTION: Q 1. A, B, C are running in the same direction around a circular track. The track is marked with numbers from 1 to 12, like the dial of a clock. The 12 numbers are uniformly spaced

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Q 1. A, B, C are running in the same direction around a circular track. The track is marked with numbers from 1 to 12, like the dial of a clock. The 12 numbers are uniformly spaced along the track. A overtakes B once at 5 and then the next time again at 9. A overtakes C once at 2 and then the next time again at 4. What is the ratio of B's speed to C's speed?

A. 7:4

B. 2:1

C. 3:2

D. 5:4

Asked In Capgemini suvradeb kundu (10 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

Ann Theressa  (10 years ago)

ans 7:4
speed of A:B = 4:16 ( from 5 to 9 B runs 4 and A (12+4) )=1:4
speed of A:C = 2:14 ( from 2 to 4 B runs 2 and C (12+2) )=1:7
B:C = 7:4

Is this solution Helpfull? Yes (26) | No (8)  

Tuheli Bhattacharya  (8 years ago)

A and B are meeting once at 5 and again at 9. So, by the time B has covered (5 to 9) 4 units, A has covered (5 to 5 + 5 to 9) i.e 12+4=16 units.
Similarly, A and C are meeting once at 2 and again at 4. So, by the time C has covered (2 to 4) 2 units, A has covered (2 to 2 + 2 to 4) i.e 12+2=14 units.

Thus, ratio of A:B=16:4
i.e A/B = 16/4
or, A=4B

And, ratio of A:C=14:2
i.e A/C=14/2
or, 4B/C=7 (Since, A=4B)
or, B/C=7/4

Hence, ratio of B:C=7:4 (Option A)

Is this solution Helpfull? Yes (8) | No   

Ann Theressa  (10 years ago)

ans 7:4
speed of B:A = 4:16 ( from 5 to 9 B runs 4 and A (12+4) )=1:4
speed of C:A = 2:14 ( from 2 to 4 C runs 2 and A (12+2) )=1:7
B:C = 7:4

Is this solution Helpfull? Yes (5) | No (5)  

Sudipta Ghosh  (10 years ago)

In the time B covers 4 units, A covers 16 units and in the time C covers 2 units, A covers 14 units.So ratio of speed of A:B is 16:4 and A:C to 14:2.
So ratio of B:C is (4x14):(2x16), ie, 7:4.

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ddgf  (10 years ago)

plz sumone xplain

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harshavardhan  (10 years ago)

a must be 4 in1st case then b is n16 (12+4) so b is 4

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Keerthi  (10 years ago)

@ANN THERESSA
could you explain (12+4) and (12+2) get????

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veera pratap  (9 years ago)

hey guys this question always wrong

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Dhannjay Kumar  (9 years ago)

All started from 12. So when C covers 2 units A overtakes C at 2 not cross which means it has already covers 12 units that's why C:A = 2:(12+2). But when B covers 5 units from 12 to 5, why everyone is giving 4 units,it should be as: B:A = 5:(12+5)....or if I am wrong, then please explain the case of B...?

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Shreevalli  (3 years ago)

https://www.doubtnut.com/related-videos/176666

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