Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 4)
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
8
12
16
24
Answer: Option
Explanation:

Discussion:
49 comments Page 2 of 5.

Rajesh said:   6 years ago
It has 2 answers both A&B.

You can go in two steps:

1. By evaluating through answers (Choices) given. Like you can cross-check those options wise.

8*12 = 96.
4*16 = 96.

OR,

12*8 = 96.
8*12 = 96.

2. Or Answer given in Explanation.

(X-12) (X+8) =0.

Then If X = 12 or X = I8I (+8).
(1)

Bhavya sree said:   2 months ago
Number of persons is x.
96/x-4 - 96/x = 4,
1/x-4 - 1/x = 4/96,
x-(x-4)/x(x-4) = 1/24,
The correct answer is 8.

x2 - 4x -96 = 0,
(x-12)(x+8) = 0,
The number of people can't be -ve.
So, x = 12.
Then Req number = x-4
=> x-12,
=>8.
Total numbers who attended the picnic was 8.

Pratik Patil said:   9 months ago
Let, the number of friends are 12, then 96/12=8 which is the control of each person, suddenly 4 of them turn up, now (12-4) = 8,
a number of friends left and contro increases by 4 which now becomes 12 and makes 12x8= 9.
Hence 8 is the wrong answer and 12 is the correct answer.

Sikandra said:   1 decade ago
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
(2)

Naresh Gyawali said:   5 years ago
Check 24 * 4(four extra pay per person) = 96.
96-96=0.

Check 16*4=64
96-64=32 is not the square root.

Check 12*4=48
96-48=48 is not the square root.

Check 8*4=32
96-32=64 is square of 8.

That's why the answer is 8.
(7)

Jothsna said:   9 years ago
4 students do not turn up money.

Total no of students = total money used(say)
4x = 96,
x = 96/4 = 24.

But each added 4rs to cover up remaining 4members
we have = 4x * 4 = 16.
Now total students -> 16 = 24 - 16 = 8.

Addy said:   1 decade ago
4 that did not turn up x(x). Total of students == total money used, hence.

4x = 96 = 24.

But since each added 4rs to cover up = 4rsx4 (not turned up) = 16.

Subtract. 24 total of students - 16 = 8.

Naveen said:   7 years ago
I agree with your answers.
In my point of view.
Total investment =96,
Amount divided per head =4,
T. A=96/4=24.

4 people don't participated=4*4=16,
Since 24-16=8.

Can we apply this method?
(17)

Neel said:   1 decade ago
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.

Parth said:   1 decade ago
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


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