Seven boys are arranged in a row in such a way that • Ravi is third from Kapil. • Lakhan and Shy

M4maths Previous Puzzles

08 Jul 2009 arrange the boys

Seven boys are arranged in a row in such a way that
• Ravi is third from Kapil.
• Lakhan and Shyam are together.
• The modulus of difference between the position of Sumit and Ram is 5.
• Geometrical mean of position of Lakhan and Ram is 2.
• Mohan is nearer to Ravi than Kapil.
Arrange all the boys in a correct sequence such that they follow the above written conditions.

OPtion

1) Ram, Mohan, Shyam, Lakhan, Ravi, Sumit, Kapil
2) Ram, Mohan, Shyam, Lakhan, Kapil, Sumit, Ravi
3) Ram, Mohan, Lakhan, Shyam, Ravi, Sumit, Kapil
4) Mohan, Ram, Shyam, Lakhan, Ravi, Sumit, Kapil
5) Lakhan, Mohan, Shyam, Ram, Ravi, Sumit, Kapil
6) Lakhan, Mohan, Shyam, Ram, Kapil, Sumit, Ravi
7) Shyam, Lakhan, Ravi, Sumit, Ram, Kapil, Mohan
8) Ram, Ravi, Sumit, Kapil, Mohan, Shyam, Lakhan
9) Sumit, Mohan, Shyam, Lakhan, Ravi, Ram, Kapil
10) Ram, Kapil, Shyam, Lakhan, Ravi, Sumit, Mohan

Solution

Geometrical mean of position of Lakhan and Ram is 2
=> Their positions are necessarily 1st and 4th
Since the modulus of difference between the position of Sumit and Ram is 5
=> Ram is necessarily 1 (if Ram would be at 4th position then it would be difficult to place Sumit)
It is very clear now to say that Sumit is 6th and Lakhan is 4th
Lakhan and Shyam are together
=> Shyam is either 3rd or 5th

If Shyam would be at 5th position then the statement "Ravi is third from Kapil." would be impossible. Therefore it should be 3rd
Ravi and Kapil will take 5th and 7th place
Mohan is at 2nd finally
Since Mohan is nearer to Ravi than Kapil
Therefore Ravi will be 5th.

Correct Option: 1 Best Solution (0)