# Conditional Statements and Its Converse

## Trending Questions

**Q.**

The greatest four digit number which is divisible by 15, 25, 40 and 75 is

9000

9400

9600

9800

**Q.**

What is noun form of Young?

**Q.**

What is the abstract noun of adult?

**Q.**The converse of the conditional statement "If the lines are parallel , then the lines do not intersect

- The figure is square
- The figure has four sides
- If the figure has four sides, then the figure is a square
- If the figure has four sides, then the figure is a rectangle

**Q.**Define circumcenter?

**Q.**

The whole is smaller than the part. True or False?

True

False

**Q.**32. Prove that a cyclic rhombus is a square

**Q.**

Tomorrow exam but I don't know the chapter can you please tell me the most important to study in this topic please

**Q.**The converse of the conditional statement "If a number is a prime number then it is even or odd" is :

- If a number is even or odd then it is a prime number.
- If a number is odd then it is a prime number.
- A number is even or odd if it is a prime number.
- An odd number cannot be a prime number.

**Q.**The antecedent of the conditional statement "If all sides of a triangle are congruent then its all angles are congruent" is :

- All sides of a triangle are congruent
- All angles of triangle are congruent.
- If all the angles of the triangle are congruent then its all sides are congruent.
- All angles and sides of the triangle are congruent.

**Q.**The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :

- If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
- If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
- None of the above
- If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.

**Q.**How many integers are less than 1000 have the property that the sum of the digit of each such number divisible by 7 and the number itself is divisible by 3.

**Q.**

Two lines which are both parallel to the same line, are parallel to each other. Prove the theorem.

**Q.**Given $4725={3}^{a}{5}^{b}{7}^{c}$, find

(i) the integral values of a, b and c

(ii) the value of ${2}^{-a}{3}^{b}{7}^{c}$

**Q.**If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the

- inverse
- converse
- reverse

**Q.**In Fig. 8.40, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.

**Q.**

Question 3

The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers up to 100.

**Q.**The consequent of the conditional statement "If the sum of the digits of a number is divisible by 3 then the number is divisible by 3" is ________

- The sum of digits of a number is divisible by 3
- The number is divisible by 3
- The sum of digits of a number is s multiple of 3
- All numbers whose sum of digits is a multiple of 3 are divisible by 3.

**Q.**

If A = {prime numbers between 19 and 23}, then A is

A singleton set

A null set

An infinite set

None of the above

**Q.**The consequent of the conditional statement "If a polygon has three sides, then it is a triangle'' is

- it is a triangle
- polygon
- three sides

**Q.**The converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other" is :

- If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
- If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
- If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.
- None of the above

**Q.**The converse of the conditional statement "If a number is a prime number then it is even or odd" is :

- If a number is even or odd then it is a prime number.
- If a number is odd then it is a prime number.
- A number is even or odd if it is a prime number.
- An odd number cannot be a prime number.

**Q.**If the antecedent and consequent in a given conditional statement are interchanged, the resulting statement is called the

- inverse
- converse
- reverse

**Q.**Combine the following pairs of sentences by making use of participles:

He seized his stick. He rushed to the door. [Intermediate]

- He seized his stick and rushed to the door.
- Rushing to the door, he seized his stick.
- Seizing his stick, he rushed to the door.
- Having seized his stick, he rushed to the door.

**Q.**

Determine whether an inclusive Or" exclusive Or" is used in the following statement . Two lines in a plane either intersext at a point or are parallel.

**Q.**The converse of the conditional statement "If the lines are parallel , then the lines do not intersect

- The lines are parallel
- They are intersecting lines
- If the lines do not intersect , then the lines are parallel.
- They are parallel and intersecting lines.

**Q.**Lemma is a well defined statement for acheiving a task.

- True
- False

**Q.**Find the consequent of the converse of: If a - b > 0, then a > b.

- a>b
- a<b
- a-b>0
- a-b<0

**Q.**What's the difference between "I wish I had" and "I wish I would have"?

**Q.**What does "ppp" stand for in music?