Answer these questions based on the following data. In a standard 5 class, the

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Answer these questions based on the following data.
In a standard 5 class, the students are arranged according to the increasing order of their marks in an examination. The marks obtained by every student, starting from the third student, are the sum of the marks obtained by the earlier two students.
If the $3^{r d}$ student got 10 marks and $5^{t h}$ student got 26 marks, then how many marks does the $12^{t h}$ student get?

Options:

A . 754

B . 466

C . 1220

D . Cannot be determined

Answer: Option A
:
A
If the

3^{r d}

student got 10 marks and the

5^{t h}

student got 26 marks, then the 4” student got
(26-10) = 16 marks
The

2^{n d}

student got (16-10) =6
The marks obtained by the students are
4, 6, 10, 16, 26, 42, 68, 110, 178, 288, 466, 754

Hence , the $12^{t h}$ student got 754 marks.

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