Question

# Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the contrapositive of the statement.

- If Kangana does not have her umbrella up, then it is raining.
- If it is not raining, then Kangana does not have her umbrella up.
- If Kangana has her umbrella up, then it is raining.
- If Kangana does not have her umbrella up, then it is not raining.

Hint:

### A statement is a declarative sentence which is either true or false but it can never be both at the same time. A statement can be written in the forms of inverse, converse and contrapositive. Here, we have to write the contrapositive of the given statement.

## The correct answer is: If Kangana does not have her umbrella up, then it is not raining.

### In the question the given statement is " If it is raining, then Kangana has her umbrella up."

Here, we have to find the inverse of the given statement.

Let us write the given statement in " if A, then B" form, where A= it is raining and B= Kangana has her umbrella up.

Now, the contrapositive of " if A, then B" will be " if not B, then not A".

The contrapositive of the given statement will be " If Kangana does not have her umbrella up, then it is not raining."

So, the contrapositive of the given statement will be " If Kangana does not have her umbrella up, then it is not raining."

Therefore, the correct option is d, i.e., If Kangana does not have her umbrella up, then it is not raining.

If the statement is in the form “if A, then B” here the converse of the statement will be “if B, then A” whereas in inverse the statement will be “if not A, then not B” and in contrapositive the statement will be “if not B, then not A”.

### Related Questions to study

### Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the inverse of the statement.

If the statement is in the form “if A, then B” here the converse of the statement will be “if B, then A” whereas in inverse the statement will be “if not A, then not B” and in contrapositive the statement will be “if not B, then not A”.

### Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the inverse of the statement.

If the statement is in the form “if A, then B” here the converse of the statement will be “if B, then A” whereas in inverse the statement will be “if not A, then not B” and in contrapositive the statement will be “if not B, then not A”.

### Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the converse of the statement.

### Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the converse of the statement.

### Look at the pattern 2, 4, 6, 8, 10, ...

What is the 19^{th} term in the pattern?

We observed that there is a difference of two in each case and then found the no corresponding to 19th position = 38

### Look at the pattern 2, 4, 6, 8, 10, ...

What is the 19^{th} term in the pattern?

We observed that there is a difference of two in each case and then found the no corresponding to 19th position = 38

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In the solution first we observed all the images and then based on the feedback we got we found no of dots in 6th image = 21 dots

### A dot pattern is shown below. What would the total number of dots be in the 6th figure?

In the solution first we observed all the images and then based on the feedback we got we found no of dots in 6th image = 21 dots

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2, 4, 7, 11,...

In this question first we found how the pattern is there and we observed it is based on the difference so we found difference in each case and obtained the continuing terms of the series.

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2, 4, 7, 11,...

In this question first we found how the pattern is there and we observed it is based on the difference so we found difference in each case and obtained the continuing terms of the series.

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### Which box is next in the sequence?

### Which box is next in the sequence?

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Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### If STUV is a parallelogram, then the value of *y* must be ___________.

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

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Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### The length of side XY is ______.

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Octagon is an eight sided polygon whose sum of all angles can be determined using the formula: , where n is the number of sides of the polygon.

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