There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000. Which one of following can be the total of the book?
A. 1001
B. 1009
C. 1008
D. 1007
E. 1006
Quote:
44. There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?
A 1001 B. 1009 C.1008 D.1007 E.1006
Soln: fiction : non-fiction = 3 : 2 = 6 : 4
non-fiction : biology = 4 : 3
fiction : non-fiction : biology = 6 : 4 : 3
6x + 4x + 3x = 1000
x = 76 12/13
if we add 1, 13 will divide evenly (1001/13 = 77)
1000 + 1 = 1001
Hi Bunuel,
One more doubt,please help me out.
I was going through the question posted above-
This is how I approached this question -
Fiction:Non Fiction = 3:2 ---(A)
Non Fiction : Biology = 4:3 ---(B)
In order to make the ratios equal, I multiplied equation (A) with 4 and equation(b) with 2. But that's giving me the wrong answer. When I checked the solution, only equation (A) was multiplied by 2 in order to make the ratios equal.
Is it a rule that in order to make the ratios equal, one should multiply by the Lowest number that makes the ratio equal. Please help.
Thanks
H
Since x is integer. so we will have to find the value which must be divisible by 13
1001 is divisible by 13.