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Recent questions and answers in Mathematical Reasoning
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CBSE XI
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Mathematical Reasoning
Write the statement "It is necessary to have a password to log on to the server." in the form if $p$ then $q$.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q3-1
answered
Aug 16, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive of the statement "If it is hot outside then you feel thirsty."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-3
answered
Aug 16, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive of the statement "I go to the beach whenever it is sunny day."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-2
answered
Aug 16, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive of the statement "A positive integer is prime only if it has no divisors other than 1 and itself."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-b
easy
q2-1
answered
Aug 14, 2014
by
rvidyagovindarajan_1
1
answer
Write the negation of the statement " There exists a number $x$ such that 0<$x$<1."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q1-4
answered
Aug 4, 2014
by
rvidyagovindarajan_1
1
answer
Write the negation of the statement " For every real number $x$, either $x$ is >1 or <1."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q1-3
answered
Aug 4, 2014
by
rvidyagovindarajan_1
1
answer
Write the negation of "All cats scratch."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q1-2
answered
Aug 4, 2014
by
rvidyagovindarajan_1
1
answer
Write the negation of "For every positive real number $x$, the number $x+1$ is also positive."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q1-1
answered
Aug 4, 2014
by
rvidyagovindarajan_1
1
answer
Write the negation of "For every positive real number $x$, the num ber $x+1$ is also positive."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise-misc14
sec-a
easy
q1-1
asked
Aug 4, 2014
by
rvidyagovindarajan_1
0
answers
State whether the statement "$\sqrt {11}$ is a rational number." is true or false. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q5-5
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
State whether the statement "If $x,\:y$ are integers such that $x>y$, then $-x<-y$" is true or false. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q5-4
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
State whether the statement "Circle is a particular case of an ellipse." is true or false. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q5-3
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
State whether the statement "The centre of a circle bisects each chord of the circle." is true or false. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q5-2
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
State whether the statement "Each radius of a circle is a chord of the circle." is true or false. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q5-1
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
By giving counter example show that the statement "The equation $x^2-1=0$ does not have a root lying between $0$ and $2$." is false.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q4-2
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
By giving counter example show that the statement "If all the angles of a triangle are equal then the triangle is an obtuse angled triangle" is not true.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q4-1
answered
Jul 29, 2014
by
rvidyagovindarajan_1
1
answer
Show that the statement "If $x$ is an integer and $x^2$ is even, then $x$ is also even." using contrapositive method.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q3
answered
Jul 26, 2014
by
rvidyagovindarajan_1
1
answer
Show that the statement "For any real numbers $a$ and $b$, $a^2=b^2$ implies that $a=b$" is not true by giving counter example.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-a
easy
q2
answered
Jul 26, 2014
by
rvidyagovindarajan_1
1
answer
Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contra positive method.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q1-3
answered
Jul 26, 2014
by
rvidyagovindarajan_1
1
answer
Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contradiction method.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q1-2
answered
Jul 26, 2014
by
rvidyagovindarajan_1
1
answer
Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using direct method.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-5
sec-b
easy
q1-1
answered
Jul 26, 2014
by
rvidyagovindarajan_1
1
answer
For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral bisecyt then it is a parallelogram" contra positive or converse?
cl51025
cl51021
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q4-4
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
For the statement "If a quadrilateral is a parallelogram then its diagonals bisect each other"' is the statement "If the diagonals of a quadrilateral do not bisect then it is not a parallelogram" contra positive or converse?
cl51021
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q4-3
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you have winter clothes then you live in Delhi" contra positive or converse?
cl51021
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q4-2
asked
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
For the statement "If you live in Delhi then you have winter clothes.' is the statement "If you do not have winter clothes then you do not live in Delhi" contra positive or converse?
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q4-1
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
Write the statement "To get 'A' in the class it is necessary that you do all the exercises of the book." in 'if-then' form.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q3-4
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
Write the statement "A quadrilateral is a parallelogram if its diagonals bisect each other" in 'if-then' form.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q3-3
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
Write the statement " The banana tree will bloom if it stays warm for a month.' in 'if-then' form
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q3-2
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
Write the statement "You get a job implies that your credentials are good" in 'if-than' form.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-a
easy
q3-1
answered
Jul 22, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive statements of the statement "$x$ is an even number implies that $x$ is divisible by $4$.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q2-5
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive statements of the statement "You cannot comprehend geometry if you do not know how to reason deductively."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q2-4
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive statements of the statement "Something cold implies that it has low temperature."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q2-3
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
Write the converse and contra positive statement of the statement " If the two lines are parallel then they do not intersect in the same plane."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q2-2
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
Write the contrapositive and converse of the statement: "If $x$ is prime then $x$ is odd."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q2-1
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
Rewrite the the statement " $If\: a\:natural\:number\:is\:odd,\: then\:its\:square\:is\:also\:odd."$ in five different ways conveying the same meaning.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-4
sec-b
easy
q1
answered
Jul 21, 2014
by
rvidyagovindarajan_1
1
answer
State whether 'or' used in the statement " All integers are positive or negative" is inclusive or or exclusive or. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q4-3
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
State whether the 'or' in the statement "To apply for a driving licence, you should have a ration card or a passport." is inclusive or or exclusive or. Give reason.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q4-2
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
State whether 'or' used in the statement given "Sun rises or Moon sets" is exclusive or inclusive.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q4-1
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Check whether the two statements given are negation of each other or not. Give reason " $p: x+y=y+x$ is true for every real number $x\:\:and\:\:y$. $q:$ There exists real numbers $x\:\:and\:\:y$ for which $x+y=y+x$.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q3
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the quantifier and and write the negation of the statement "There exists a capital for every state in India."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q2-3
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the quantifier and and write the negation of the statement "For every real number $x, \:\:x$ is less that $x+1$."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q2-2
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the quantifier and write the negation of the statement "There exists a number which is equal to its square."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q2
1
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the connecting word and and write the components of the statement "$x=2\:\:and\:\:x=3$ are the roots of the equation $3x^2-x-10=0$."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q1-4
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the connecting word and and write the components of the statement "The sand heats up quickly in the Sun and does not cool down fast at night"
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q1-3
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the connecting word and and write the components of the statement "Square of an integer is positive or negative."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q1-2
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Identify the connecting word and and write the components of the statement "All rational numbers are real and all real numbers are not complex."
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-3
sec-a
easy
q1-1
answered
Jul 16, 2014
by
rvidyagovindarajan_1
1
answer
Write the components of the statement "$100$ is divisible by $3,\:11$ and $5$ Also check whether it is true or false.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-2
sec-a
easy
q3-3
answered
Jul 14, 2014
by
rvidyagovindarajan_1
1
answer
Write the component of the compound statement "All integers are positive or negative." Also check whether it is true of false.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-2
sec-a
easy
q3-2
answered
Jul 14, 2014
by
rvidyagovindarajan_1
1
answer
Write the components of the compound statement "Number $3$ is prime or it is odd" and also find whether it is true or false.
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-2
sec-a
easy
q3-1
answered
Jul 14, 2014
by
rvidyagovindarajan_1
1
answer
Are the pair of statements "The number $x$ is a rational number." and "The number $x$ is an irrational number." negation of each other?
cbse
class11
ch14
mathematical-reasoning
bookproblem
exercise14-2
sec-a
easy
q2-2
answered
Jul 14, 2014
by
rvidyagovindarajan_1
1
answer
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