Here, you will find all the questions of ISI Entrance Paper 2017 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems.
Problem 1 :
Let the sequence be defined by
Problem 2 :
Consider a circle of radius as given in the diagram below. Let
and
be points on the circle such that
and
, when extended, intersect at
. If
and
have length
and
respectively, and
is a right angle, then show that the length of
is
Problem 3 :
Suppose is a function given by
2. Evaluate
...........................
Discussion
...........................
Problem 4 :
Let be the square formed by the four vertices
, and
. Let the region
be the set of points inside
which are closer to the center than to any of the four sides. Find the area to the region
.
...........................
Discussion
...........................
Problem 5 :
Let with
being the product of the digits of
.
2. Find all for which
Problem 6 :
Let be primes with
such that
and
are perfect squares. Find all possible values of
.
Problem 7 :
Let . For a permutation
of the elements of
, let
denote the first element of
. Find the number of all such permutations
so that for all
2. if then
appears before
in
Problem 8 :
Let and
be positive integers.
2. Let be a non-zero polynomial with real coefficients. Let
be the smallest number such that
. Prove that the graph of
cuts the
-axis at the origin (i.e.
changes sign at
) and only if
is an odd integer.
Here, you will find all the questions of ISI Entrance Paper 2017 from Indian Statistical Institute's B.Stat Entrance. You will also get the solutions soon of all the previous year problems.
Problem 1 :
Let the sequence be defined by
Problem 2 :
Consider a circle of radius as given in the diagram below. Let
and
be points on the circle such that
and
, when extended, intersect at
. If
and
have length
and
respectively, and
is a right angle, then show that the length of
is
Problem 3 :
Suppose is a function given by
2. Evaluate
...........................
Discussion
...........................
Problem 4 :
Let be the square formed by the four vertices
, and
. Let the region
be the set of points inside
which are closer to the center than to any of the four sides. Find the area to the region
.
...........................
Discussion
...........................
Problem 5 :
Let with
being the product of the digits of
.
2. Find all for which
Problem 6 :
Let be primes with
such that
and
are perfect squares. Find all possible values of
.
Problem 7 :
Let . For a permutation
of the elements of
, let
denote the first element of
. Find the number of all such permutations
so that for all
2. if then
appears before
in
Problem 8 :
Let and
be positive integers.
2. Let be a non-zero polynomial with real coefficients. Let
be the smallest number such that
. Prove that the graph of
cuts the
-axis at the origin (i.e.
changes sign at
) and only if
is an odd integer.
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If i have made a slight calculation error by writing f'1 =-500e and the follow up question as well when the answer doesnt have e, how much will be deducted?
That depends on the process that you have used to solve the problem.
If your process is correct then they will more or less deduct 1-2 marks at max.
Thanks a lot!
7. (n-1)! (n+1)C3
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complete solution of isi b math 2017 objective and subjective paper. And result date