Conditional Statements and Its Converse

Q.

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

1. 9000

2. 9400

3. 9600

4. 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

1. The figure is square
2. The figure has four sides
3. If the figure has four sides, then the figure is a square
4. 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?

1. True

2. 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 :

1. If a number is even or odd then it is a prime number.
2. If a number is odd then it is a prime number.
3. A number is even or odd if it is a prime number.
4. 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 :

1. All sides of a triangle are congruent
2. All angles of triangle are congruent.
3. If all the angles of the triangle are congruent then its all sides are congruent.
4. 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 :

1. If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
2. If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
3. None of the above
4. 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 of the given statement.

1. inverse
2. converse
3. 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 ________

1. The sum of digits of a number is divisible by 3
2. The number is divisible by 3
3. The sum of digits of a number is s multiple of 3
4. 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

1. A singleton set

2. A null set

3. An infinite set

4. None of the above

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

1. it is a triangle
2. polygon
3. 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 :

1. If rhombus is a quadrilateral then its perpendicular bisectors are diagonals to each other.
2. If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other
3. If the diagonals of a quadrilateral are perpendicular bisectors of each other then it is a rhombus.
4. 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 :

1. If a number is even or odd then it is a prime number.
2. If a number is odd then it is a prime number.
3. A number is even or odd if it is a prime number.
4. 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 of the given statement.

1. inverse
2. converse
3. reverse

Q. Combine the following pairs of sentences by making use of participles:
He seized his stick. He rushed to the door. [Intermediate]

1. He seized his stick and rushed to the door.
   
2. Rushing to the door, he seized his stick.
   
3. Seizing his stick, he rushed to the door.
   
4. 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

1. The lines are parallel
2. They are intersecting lines
3. If the lines do not intersect , then the lines are parallel.
4. They are parallel and intersecting lines.

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

1. True
2. False

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

1. a>b
2. a<b
3. a-b>0
4. 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?