Trying to find the right answer to this..

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Mathematical Reasoning

Short Answer Type

81. State the converse and contrapositive of the following statement.
p : A positive integer is prime only if it has no divisors other than 1 and itself.

Converse : If an integer has no divisior other than 1 and itself, then it is prime.
Contrapositive : If an integer has same divisior other than 1 and itself, then it is not prime.

120 Views

82. State the converse and contrapositive of the following statement.
q : I go to a beach whenever it is a sunny day.

129 Views

83. State the converse and contrapositive of the following statement.
r : If it is hot outside, then you feel thirsty.

107 Views

84. Rewrite the following statement in the form “p if and only if q”.
p : If you watch television, then your mind is free and if your mind is free, then you watch the television.

111 Views

85. Rewrite the following statement in the form “p if and only if q”.
q : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

97 Views

86. Rewrite the following statement in the form “p if and only if q”.
r : If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

117 Views

87. Write the following statement in five different ways, conveying same meaning.
p : If a triangle is equiangular, then it is an obtuse angled triangle.

124 Views

88.

Write the component statements of it and use them to check whether the compound statement is true or not.
t : You are wet when it rains or you are in a river.

114 Views

89.

Check the validity of the following statement.
“Square of an integer is positive or negative”.

110 Views

90.

Show that the statement “The integer n is even if and only if n² is even’ is true.

104 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

81. State the converse and contrapositive of the following statement.p : A positive integer is prime only if it has no divisors other than 1 and itself.

81. State the converse and contrapositive of the following statement.
p : A positive integer is prime only if it has no divisors other than 1 and itself.