Q. 1:What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row?
Q. 3: What is the number of slots for which the average amount (in rupees) of its three pouches is an integer?
Q. 4: The number of slots for which the total amount in its three pouches strictly exceeds Rs. 10 is
If assume the unknown number with a variable , following table can be formed.
Minimum value of a+b+c = (2+6+1) = 9 ( when all of a, b and c are minimum possible)
Maximum value of (a+b+c) = (4+8+3) = 15 ( when all of a, b and c are maximum possible)
Similarly Range ( Minimum and Maximum value) of d+e = (9, 25) and g+h = (3, 7)
As sum of all rows and all columns must be multiple of 3 . So on solving we can see a+b+c = 12, d+e = 17 and g+h = 4
Minimum value of a+d = (2+3) = 5 and maximum value of a+d = 4+5 =9
As sum of C1 = 18 + a +d
So a+d should be divisible by 3 . thus a+d can be either 6 or 9.
Similarly b+g can be 7 or 10. And c+h+e can be of the form 3k + 2
On solving we will see only a+d = 9 will satisfy all the conditions
a+d = 9 means a = 4 and d = 5
e = 12. -> c +h = 5. -> b+c =8
if h =3, then c=2, b=6, g=1
Finally, we get
Now all the question can be answered.