The minimum number of flowers that could be offered to each deity is : (CAT 1999) Options: A . &nbsp0 B . &nbsp15 C . &nbsp16 D . &nbspcannot be determined

The minimum number of flowers that could be offered to each deity is : (CAT 1999

Question

The minimum number of flowers that could be offered to each deity is : (CAT 1999)

Options:

A . 0

B . 15

C . 16

D . cannot be determined

Answer: Option C
:
C
Ans: (c)
Minimum value for y is available for

x = 15; y = x * 15 \Rightarrow y = 16;

Let Roopa have x flowers with her; then

\begin{matrix} B a l a n c e b e f o r e o f f e r i n g & F l o w e r s o f f e r e d & B a l a n c e a f t e r o f f e r i n g I^{s t} P l a c e & 2 x & y & 2 x - y I I^{n d} P l a c e & 4 x - 2 y & y & 4 x - 3 y I I I^{r d} P l a c e & 8 x - 6 y & y & 8 x - 7 y I V^{t h} P l a c e & 16 x - 14 y & y & 16 x - 15 y \end{matrix}

16 x - 15 y = 0 \Rightarrow 16 x = 15 y \Rightarrow y = \frac{16 x}{15 y}

Therefore minimum value of x for which y is an integer is 15 hence y = 16.

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