Finding Rational Numbers between Two Rational Numbers Using Mean Method

Q.

Find five Rational numbers between $\frac{-3}{2}$ and $\frac{5}{3}$.

Q.

If $x$ and $y$ are distinct integers, then which of the following is true about $\frac{x+y}{2}$ ?

1. It is greater than both $x$ and $y$

2. It is less than $x$ and greater than $y$

3. It is less than both $x$ and $y$

4. It lies between $x$ and $y$

Q.

Four rational numbers between $3$ and $4$ are

1. $\frac{3}{5},\frac{4}{5},1,\frac{6}{5}$

2. $\frac{13}{5},\frac{14}{5},\frac{16}{5},\frac{17}{5}$

3. $3.1,3.2,4.1,4.2$

4. $3.1,3.2,3.8,3.9$

Q.

Between any two given rational numbers, there are infinite rational numbers.

1. True

2. False

Q.

Which of the following is a rational number between $\frac{1}{3}$ and $\frac{5}{3}$ ?

1. $\frac{6}{3}$

2. $\frac{7}{3}$

3. $\frac{4}{3}$

4. $\frac{5}{3}$

Q. Find the multiplicative inverse of $-1\times \left(\frac{-2}{5}\right)$.

1. $\frac{5}{5}$
2. $\frac{5}{2}$
3. $\frac{1}{5}$
4. $\frac{2}{5}$

Q.

Find the average number of cups of tea that people drink.

1. 2.72
2. 1.84
3. 1.85
4. 2.06

Q. Find five rational numbers between:

Q. The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is .

1. \N
2. $\frac{5}{24}$
3. $\frac{24}{5}$
4. $\frac{25}{5}$

Q. The average of 5 and 8 is _____.

1. 6
2. 7
3. 6.5
4. 5.6

Q.

Which of the following lies between $\frac{25}{4}$ and $\frac{22}{3}?$

1. $\frac{13}{2}$
2. $\frac{15}{2}$
3. $\frac{17}{2}$
4. $8$

Q. There are infinitely many rational numbers between 5 and 7.

1. True
2. False

Q.

Which of the following is a rational number between $\frac{1}{6}$ and $\frac{1}{4}$

1. $0$
2. $\frac{5}{24}$
3. $\frac{24}{5}$
4. $\frac{25}{5}$

Q.

Between any two numbers, there can be an infinite number of ___________.

1. natural numbers

2. whole numbers

3. integers

4. rational numbers

Q.

If $x$ and $y$ are distinct integers, then which of the following is true about $\frac{x+y}{2}$ ?

1. It is less than $x$ and greater than $y$

2. It is greater than both $x$ and $y$

3. It is less than both $x$ and $y$

4. It lies between $x$ and $y$

Q. Find a rational number between $\frac{1}{4}and\frac{1}{2}$.