Odd and Even Numbers

Q.

All integers are Rational Numbers. State whether True/False

1. True

2. False

Q. How to arrange rational number in descending order.

Q. Sum of four consecutive odd numbers is 40 find the numbers

Q.

When you divide a certain number by $13$ the quotient is $-18$ and its remainder is $7$ .Find the number

Q.

$6,13,25,51,101,?$

Q. How do we get a raised m divide by a raised to n gives a answer a raised to m-n?

Q. Sum of an even number and an odd number is always an odd number.

1. True
2. False

Q.

How to solve (-65)x(-19)+65 using distributive property

Q. All the integers are rational numbers. Justify the statement

Q. The result of dividing a positive number with a negative number is

1. positive
2. zero
3. negative
4. not defined

Q. Every odd number is of the form _____.

1. 2n - 1, where n is rational number.
2. 2n + 1, where n is natural number.
3. 2n + 1, where n is rational number.
4. 2n - 1, where n is natural number.

Q.

Division of 2 irrational numbers can be rational .(true or false)

Q.

x ∈ [4, 6) means:

1. 4 ≤ x ≤ 6

2. 4 < x < 6

3. 4 < x ≤ 6

4. 4 ≤ x < 6

Q.

Bill noticed a couple of occupants (numbers) of Room W, “7” and “8”, enter the “Hall of Division”. The resultant number that comes out from the hall is an occupant of which of the following rooms?

1. Room N

2. Room W

3. Room I

4. None of the above

Q.

Bill was walking in the ruins of “The Hall of Operations” where he found another ancient community hall. It was named The Negativus.

The behavior of this hall is similar to that of The Reciprocus in the sense that any occupant of the “House of Rational Numbers, Q” exit The Negativus as a different occupant, belonging to the same House.

Bill immediately came to the conclusion that, just like The Reciprocus did not allow The Oblivion, The Negativus also does not allow The Oblivion. Is Bill’s conclusion True or False?

1. True

2. False

Q.

If the side of a square is 9x + 3 and x is a whole number, then the perimeter is a/an ____

1. fraction

2. prime number

3. even number

4. odd number

Q.

Bill was curious to find the room into which the previous number went in (which exited the “Hall of Division” when occupants “7” and “8” went in). He came out of the room he was in and was surprised at what he saw!

He noticed that the previous rooms he saw – Room N, Room W and Room I were all inside a huge house whose nameplate read – “House of Rational Numbers, Q”. This house of rational numbers was part of a huge villa – many times larger. Bill couldn’t see the nameplate of this villa.

He realized that the arrangements of the Rooms N, W and I inside “House of Rational Numbers, Q” were in logical accordance with the nature of numbers in Earth 1. What could Bill’s inferences be? Choose ALL the correct inferences Bill should have made.

1. Room N was inside Room W

2. Room W was adjacent to Room I

3. Room N and W are inside Room I

4. Rational numbers are represented by the letter Q

Q. Which of the following will be the fourth sentence?

1. a
2. b
3. c
4. d

Q.

Bill wanted to find out the room into which the exited number went in. When he zoomed into the same premises of “The Hall of Operations” using his binoculars, he saw the following engravings on the walls of the halls:

Engraving 1: All natural numbers are rational numbers

Engraving 2: All natural numbers are rational numbers

Engraving 3: All integers are rational numbers

Help Bill by validating the engravings by selecting ALL the correct engravings, given in the options below:

1. Engraving 1 only

2. Bothengravings1 and 2

3. All the engravings are correct

4. Engraving 2 only

Q. In every alternate letter, starting with A, is removed from the alphabet, which letter among the remaining letters would be the sixth to the right of the third letter from the left ?

1. S
2. R
3. P
4. Q

Q. rational number is defined as a number that can be expressed in the form p/q, where
p and q are integers and
(a) q = 0 (b) q = 1
(c) q ? 1 (d) q ? 0

Q. The result of dividing a positive number with a negative number is

1. positive
2. zero
3. negative
4. not defined

Q. The result of dividing a positive number with a negative number is

1. positive
2. zero
3. negative
4. not defined

Q. if p/q is rational number then q cant be_________