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# Verbal Reasoning - Arithmetic Reasoning - Discussion

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"I never see what has been done; I only see what remains to be done."
- Marie Curie
4.

A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

 [A]. 8 [B]. 12 [C]. 16 [D]. 24

Explanation:

 Nayaki said: (Thu, Jun 23, 2011 07:09:07 AM) Please explain clearly the logic any one.

 Shaher said: (Sun, Aug 14, 2011 05:05:18 PM) Please explain each step clearly.

 Sikandra said: (Sat, Aug 20, 2011 02:25:23 PM) n=total no. of students. r=rs. per student. nr=96 i.e. r = 96/n each students have to play 4rs. extra because 4 students did not turn up so: (n-4)(r+4)=96 nr+4n-4r-16=96 n(96/n)+4n-4(96/n)-16=96 96+4n-4*96/n-16=96 4n*n-4*96-16n=0 n*n-4n-96=0 (n+8)(n-12)=0 n=12 n-4=8

 Sonia said: (Fri, Aug 26, 2011 10:00:14 AM) @Sikandra. Very well explaned. Thanks so much.

 Parthiban said: (Sun, Nov 13, 2011 08:09:44 PM) Please explain clearly I didn't understand.

 Harshita said: (Thu, Jan 19, 2012 05:24:32 PM) Sikander Kindly explain how it is possible. 4n*n-4*96-16n=0 n*n-4n-96=0 (n+8)(n-12)=0 n=12 n-4=8

 Neel said: (Mon, Feb 27, 2012 08:21:45 PM) Look 96..as we know 12*8=96, number of boys decrease by 4 burden increase by 4 each. Just write (12-4)(8+4)=96 i.e. 8*12=96. Hence who participated are.. 8.

 Shobha said: (Wed, Mar 28, 2012 05:25:44 PM) Please explain clearly once again.

 Parth said: (Wed, Oct 10, 2012 12:15:05 PM) Very well @Neel....Shobha you can simply 80+4n -4 (96/n) = 96 4n - 4 (96/n) = 16.....divide by 1/4 Then as Neel explained (n+8)(n-12) = 96

 Ashish Jalit said: (Sat, Mar 16, 2013 04:14:19 PM) Let us suppose that, The no.of student are x & they decide to go to picnic & spend Rs. 96 in all students there for each student has to pay rupees. 96/x ( total student are x). But 4 students did not turn up there for now each student has to pay 4 rupees extra. 96/(x-4) = 4+(96/x) 96/(x-4)+96/x = 4 96(x-x+4)/x(x-4) = 4 96 = x^2-4x x^2-4x-96 = 0 x^2-12x+8x-96 = 0 x(x-12)+8(x-12) = 0 (x-12)(x+8) = 0 x = 12. No. of students attend the picnic was x-4 = 8. x-4 = 12-4. x-4 = 8.