Introduction to Rational Numbers

Q. Find five rational numbers between 0.1 and 0.2

Q.

In a three digit number the hundreds digit is twice the tens digit while the units digit is thrice the tens digit also the sum of its digits is 18 find the number

Q.

By travelling at a speed of $48km/h$, a car can finish a certain journey in $10$ hours. To cover the same distance in $8$ hours, the speed of the car should be

1. $80km/h$
2. $30km/h$
3. $40km/h$
4. $60km/h$

Q.

The reciprocal of 10 is

__

Q.

A train travelling at$250km/h$ overtakes a cyclist who is moving at $10km/h$ in$45seconds$. Find the length of the train in meters?

Q.

There are infinite rational numbers between any two given

1. Natural numbers

2. Whole numbers

3. Integers

4. All of the above

Q. The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is:

1. 10%
2. 12%
3. 15%
4. 5%

Q.

10 whole numbers are between 0 to 10 (including 0 and 10).

1. True

2. False

Q.

If $\frac{x}{y}$ and $\frac{y}{x}$ are rational numbers, then which of the following is correct?

1. $x\ne 0$, y can be 0

2. x can be 0, $y\ne 0$

3. $x\ne 0,y\ne 0$

4. both x and y can be 0

Q.

The number which are used for counting objects are called________

Q. rational no that lie between 2 and 9/2

Q.

The surface area of the three adjacent faces of a cuboid are $6,15$ and $10c{m}^2$ respectively. The volume of the cuboid is

1. 20 cubic cm
2. 30 cubic cm
3. 35 cubic cm
4. 40 cubic cm

Q. What will happen if we add 0 to any Rational number?

1. The number remains the same.
2. The number gets doubled.
3. The number gets halved.
4. The result will be 0.

Q. Arrange the following rational numbers in ascending order.

$\frac{3}{8},\frac{4}{12},\frac{-7}{16},\frac{-2}{3}$.

Q.

A loaded track covers 16 km in 25 minutes. At the same speed, how far can it travel in 5 hours ?

Q.

If a is an integer and b is a rational number, then the number of rational numbers between a and b is

1. zero

2. infinite

3. 2

4. 100

Q.

An article marked at Rs. 8000 is sold for Rs. 7200. Find the discount and discount percent?

1. Discount = Rs. 800 , Discount% = 10%

2. Discount = Rs. 800 , Discount% = 20%

3. Discount = Rs. 860 , Discount% = 10%

4. Discount = Rs. 900 , Discount% = 15%

Q.

Construct a 3 * 3 magic square to get a magic sum of 93

Q.

$\frac{-4}{5}$is the additive inverse of $\frac{4}{-5}$

1. True
2. False

Q.

Suppose m/n and p/q are two positive rational numbers. Where does lie, with respect to m/n and p/q?

Q. Which of the following is a rational number but not a fraction?

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

Q.

Question 2

Write the correct answer from the given four options.

Which of the following is a square of an even number?

a) 144
b) 169
c) 441
d) 625

Q. How to find rational number between-1 to +1 using arthimatic mean ? Please define it very well?

Q. Find the smallest number by which 1323 must be divided to make them a perfect square and hence find their cube root.

Q.

Find the value of x such that $\frac{-11}{x}$ is not a rational number.

1. 1

2. -1

3. 0

4. 2

Q. Which of the following will always be a rational number?

1. Integers
2. Natural Number
3. Whole Number
4. None of these

Q.

The denominator of a rational number is greater than its numerator by 3.If the numerator is increased by 8 and the denominator is decreased by 1, then new number becomes $\frac{5}{3}$.The original number is:

1. 

2. 

3. 

4. 

Q.

An item marked at Rs. 840 is sold for Rs. 714. What is the discount and discount %?

1. Rs. 126, 15%

2. Rs. 136, 35%

3. Rs. 126, 25%

4. Rs. 106, 5%

Q.

Question 6

Write the correct answer from the given four options.

Which of the following cannot be a perfect square?

a) 841
b) 529
c) 198
d) All of these

Q.

Question 5 (ii)

For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:

180