Maths-
General
Easy
Question
If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets , A x B and B x A are
![2 to the power of 99](data:image/png;base64,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)
![99 squared](data:image/png;base64,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)
- 100
- 18
The correct answer is: ![99 squared](data:image/png;base64,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)
Number of elements common to each set is ![99 cross times 99 equals 99 squared](data:image/png;base64,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)
Related Questions to study
maths-
For any two sets A and B, if
and
for some set X , then
For any two sets A and B, if
and
for some set X , then
maths-General
maths-
If is a set with 10 elements and
, then the number of elements in A is
If is a set with 10 elements and
, then the number of elements in A is
maths-General
maths-
Let A and B be two sets, then
is equal to
Let A and B be two sets, then
is equal to
maths-General
maths-
If
is equal to
If
is equal to
maths-General
maths-
If
has a derivative at
is equal to
If
has a derivative at
is equal to
maths-General
maths-
The value of
is
The value of
is
maths-General
maths-
The derivative of
with respect to log is
The derivative of
with respect to log is
maths-General
maths-
The derivative of
with respect to
is
The derivative of
with respect to
is
maths-General
maths-
The rate of change of
with respect to
at
is
The rate of change of
with respect to
at
is
maths-General
maths-
If
then
is
If
then
is
maths-General
Maths-
If a1, a2, a3, ........., an are positive real numbers whose product is a fixed number c, then the minimum value of a1 + a2 + a3 + .... + an – 1 + 2an is
In this question, we have to find that minimum value of a1 + a2 + a3 + …… + an-1 + 2an. Remember always the inequality of A.M and G.M. Always A.M ≥ G.M.
If a1, a2, a3, ........., an are positive real numbers whose product is a fixed number c, then the minimum value of a1 + a2 + a3 + .... + an – 1 + 2an is
Maths-General
In this question, we have to find that minimum value of a1 + a2 + a3 + …… + an-1 + 2an. Remember always the inequality of A.M and G.M. Always A.M ≥ G.M.
maths-
The domain of the function
is
The domain of the function
is
maths-General
maths-
Range of the function
is
Range of the function
is
maths-General
maths-
The domain of the function
is
The domain of the function
is
maths-General
maths-
Let
,
and
, then dom
is given by
Let
,
and
, then dom
is given by
maths-General