GateBook_MockTest2(Programming)

Question

# include < stdio.h >
main ( )
{

float total 0.0, q = 1.0, p = 2.0;
while (p/q> 0.001)
{
q = q + q ;
total = total + p/q ;
print f (“% f\n”, total) ;
}
}
Which one of the following is the integer that best approximates the last number printed ?

(A) 0

(B) 1

(C) 2

(D) 3

Answer 1

By looiking at first we may find that There is mistake in solution given by them but if we read question carefuuly than they have given that, best integer that approximates

Solution goes like this,

2/2+2/4+2/8+2/16+....+2/1024

Which is nothing but, 1+(1023/1024) = 1.9990234375  ~=2.00

P.S. My solution is so quick for now but I just want to show that significance of word 'Approximate' because I just read 'integer' and I written '1' as an answer.

Comments

plz explain it in detail

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2/1024$\approx$ .00195 and it is still greater than .001 , isn't it ? it should go one more iteration na? answer is same anyway.

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@mohitbawankar  the value of total over each iteration will form a gp and we are finding the sum to it in short.