Practice the AP 8th Class Maths Bits with Answers Chapter 1 Rational Numbers on a regular basis so that you can attempt exams with utmost confidence.

## AP State Syllabus 8th Class Maths Bits 1st Lesson Rational Numbers with Answers

Question 1.
Which of the following is not a rational number ?
A) 1
B) 1.$$\overline{3}$$
C) √5
D) √9
C) √5

Question 2.
Which of the following is true ?
A) N ⊂ W ⊂ Q ⊂ Z
B) N ⊂ Z ⊂ W ⊂ Q
C) W ⊂ N ⊂ Q ⊂ Z
D) N ⊂ W ⊂ Z ⊂ Q
D) N ⊂ W ⊂ Z ⊂ Q

Question 3.
Set of rational numbers under addition which of the following properties is hold ?
A) Closure
B) Associative
C) Commutative
D) All the above
D) All the above

Question 4.
Set of rational numbers is not hold which of the following with respect to closure property ?
B) Subtraction
C) Multiplication
D) Division
D) Division

Question 5.
Which of the following is an additive identity element ?
A) 0
B) 1
C) 2
D) -1
A) 0

Question 6.
Which of the following is a multiplicative identity element ?
A) 0
B) 1
C) 2
D) -1
B) 1

Question 7.
Which of the following is a multiplicative inverse of $$\frac{-3}{4}$$ ?
A) 1
B) $$\frac{3}{4}$$
C) $$\frac{4}{3}$$
D) $$\frac{-4}{3}$$
D) $$\frac{-4}{3}$$

Question 8.
What is the additive inverse of $$\frac{5}{6}$$ ?
A) $$\frac{-5}{6}$$
B) $$\frac{-6}{5}$$
C) $$\frac{6}{5}$$
D) 0
A) $$\frac{-5}{6}$$

Question 9.
Which of the following is commutative property under multiplication ?
A) a × b = c
B) a × b = b × a
C) a × (b × c) = (a × b) × c
D) a × (b + c) = ab + ac
B) a × b = b × a

Question 10.
Which of the following is a multipli-cative distributive property over addition ?
A) $$\frac{2}{3} \times \frac{1}{5}=\frac{2}{15}$$
B) 2 + 3 = 3 + 2
C) 2 × (3 × 4) = (2 × 3) × 4
D) 2 × (3 + 4) = (2 × 3) + (2 × 4)
D) 2 × (3 + 4) = (2 × 3) + (2 × 4)

Question 11.
Which of the following is not true ?
A) Every natural number is a whole number
B) Every whole number is an integer
C) Every rational number is an integer
D) Every whole number is a rational number
C) Every rational number is an integer

Question 12.
× $$\frac{7}{8}=\frac{7}{8}$$
A) 0
B) 1
C) $$\frac{8}{7}$$
D) $$\frac{7}{8}$$
B) 1

Question 13.
(-$$\frac {1}{2}$$) + ………………. = 0
A) $$\frac {1}{2}$$
B) 0
C) –$$\frac {1}{2}$$
D) 2
A) $$\frac {1}{2}$$

Question 14.
The product of multiplicative inverses of $$\frac{-9}{2}$$ and $$\frac{5}{18}$$ is?
A) $$\frac{5}{4}$$
B) –$$\frac{5}{4}$$
C) $$\frac{4}{5}$$
D) –$$\frac{4}{5}$$
D) –$$\frac{4}{5}$$

Question 15.
Which of the following has no multiplication inverse ?
A) 0
B) 1
C) -1
D) $$\frac{6}{7}$$
A) 0

Question 16.
Which of the following is a non – terminating repeating decimal ?
A) $$\frac{22}{7}$$
B) 1.3
C) $$\frac{20}{3}$$
D) $$\frac{6}{5}$$
C) $$\frac{20}{3}$$

Question 17.
The $$\frac{\mathbf{p}}{\mathbf{q}}$$ form of 0.35 is ………………
A) $$\frac{16}{7}$$
B) $$\frac{35}{100}$$
C) $$\frac{0.35}{100}$$
D) $$\frac{35}{1000}$$
B) $$\frac{35}{100}$$

Question 18.
The $$\frac{\mathbf{p}}{\mathbf{q}}$$ form of 4.$$\overline{\mathbf{7}}$$ is ……………….
A) $$\frac{33}{8}$$
B) $$\frac{43}{9}$$
C) $$\frac{4}{9}$$
D) $$\frac{16}{7}$$
B) $$\frac{43}{9}$$

Question 19.
If we write 0.$$\overline{4}$$ in $$\frac{\mathbf{p}}{\mathbf{q}}$$ from the value of p + q is ………………..
A) 14
B) – 9
C) 10
D) 13
D) 13

Question 20.
The $$\frac{\mathbf{p}}{\mathbf{q}}$$ form of – 8.005 is …………………..
A) $$\frac{-1601}{200}$$
B) $$\frac{-701}{40}$$
C) $$\frac{-812}{117}$$
D) $$\frac{-314}{819}$$
A) $$\frac{-1601}{200}$$

Question 21.
Periodicity of 1.$$\overline{\mathbf{2 5}}$$ is ………………..
A) 5
B) 25
C) 2
D) 3
C) 2

Question 22.
Period of 1.$$\overline{156}$$ is ……………………
A) 156
B) 15.6
C) 1.56
D) 15600
A) 156

Question 23.
$$\frac{5}{3}$$ = …………………
A) 2.$$\overline{1}$$
B) 1.$$\overline{8}$$
C) 1.$$\overline{5}$$
D) 1.$$\overline{6}$$
D) 1.$$\overline{6}$$

Question 24.
– (-($$\frac{-2}{3}$$)) = …………………..
A) $$\frac{-2}{3}$$
B) $$\frac{2}{3}$$
C) $$\frac{3}{2}$$
D) $$\frac{1}{2}$$
A) $$\frac{-2}{3}$$

Question 25.
$$\frac{8}{5}$$ + 0 = 0 + $$\frac{8}{5}$$ = …………………
A) $$\frac{6}{3}$$
B) $$\frac{5}{7}$$
C) $$\frac{8}{5}$$
D) $$\frac{1}{5}$$
C) $$\frac{8}{5}$$

Question 26.
$$\frac{2}{5} \times\left(\frac{-1}{9}\right)+\frac{23}{180}-\frac{1}{9} \times \frac{3}{4}$$ = ……………….
A) 3
B) 0
C) 10
D) 16
B) 0

Question 27.
$$\frac{2}{5}+\frac{3}{7}-\frac{6}{5}-\frac{13}{7}$$ = ………………..
A) $$\frac{-8}{5}$$
B) $$\frac{-7}{3}$$
C) $$\frac{-78}{35}$$
D) $$\frac{78}{35}$$
C) $$\frac{-78}{35}$$

Question 28.
1 × ……………….. = $$\frac{91}{11}$$
A) $$\frac{9}{11}$$
B) $$\frac{91}{11}$$
C) $$\frac{9}{1121}$$
D) $$\frac{11}{91}$$
B) $$\frac{91}{11}$$

Question 29.
2 <$$\frac{17}{8}$$ <$$\frac{9}{4}$$ < K < 3, K = ………………….
A) $$\frac{1}{7}$$
B) $$\frac{1}{2}$$
C) $$\frac{2}{5}$$
D) $$\frac{5}{2}$$
D) $$\frac{5}{2}$$

Question 30.
$$\frac{10}{7}$$ = ………………….
A) 0.1428
B) 0.1328
C) 0.7418
D) 0.1923
A) 0.1428

Question 31.
$$\frac{1575}{100}$$ = ……………………
A) $$\frac{4}{63}$$
B) $$\frac{60}{19}$$
C) $$\frac{63}{4}$$
D) $$\frac{6}{31}$$
C) $$\frac{63}{4}$$

Question 32.
0.$$\overline{\mathbf{9}}$$ = ………………..
A) 9
B) 1
C) 1.9
D) 7.5
B) 1

Question 33.
$$\frac{1}{2}+\frac{1}{2}+\frac{1}{2}$$ + ……………….. 10 times = …………………
A) 6
B) 5
C) 20
D) 4
B) 5

Question 34.
1 ÷ ………………… = $$\frac {1}{2}$$
A) 2
B) $$\frac {1}{2}$$
C) 4
D) 6
A) 2

Question 35.
2016 ÷ 0 = ……………………….
A) 0
B) 2
C) 16
D) can’t be determine
D) can’t be determine

Question 36.
Which number is not a prime number nor a composite number ?
A) 16
B) 1
C) 4
D) 3
B) 1

Question 37.
The number of Rational numbers between 16 and 17 is ………………..
A) 10
B) 4
C) 20
D) Infinite
D) Infinite

Question 38.
$$\frac{3}{2}-\frac{1}{2}$$ = ………………….
A) – 4
B) 2
C) -2
D) 6
C) -2

Question 39.
x(p – q) = …………………
A) px – q
B) p – xq
C) xp – ql
D) xp – xq
D) xp – xq

Question 40.
$$\frac{5}{9}-\frac{3}{4}$$ = ……………….
A) $$\frac{-9}{10}$$
B) $$\frac{1}{6}$$
C) $$\frac{-7}{36}$$
D) $$\frac{7}{3}$$
C) $$\frac{-7}{36}$$

Question 41.
$$\frac{-2}{3} \div \frac{2}{3}$$ = ……………..
A) 10
B) -1
C) 1
D) 0
B) -1

Question 42.
The multiplicative inverse of 1 is ……………………..
A) 7
B) 3
C) 1
D) 10
C) 1

Question 43.
The product of two numbers is $$\frac{-\mathbf{2 0}}{9}$$ and one of the numbers is 4 then the other number is …………………
A) $$\frac{-1}{9}$$
B) $$\frac{9}{5}$$
C) $$\frac{5}{9}$$
D) $$\frac{-5}{9}$$
D) $$\frac{-5}{9}$$

Question 44.
$$\frac{-16}{21}$$ ÷ $$\frac{-4}{3}$$ = ……………..
A) $$\frac{4}{7}$$
B) $$\frac{1}{7}$$
C) $$\frac{7}{4}$$
D) $$\frac{2}{3}$$
A) $$\frac{4}{7}$$

Question 45.
$$\frac{5}{12}$$ ÷ X = $$\frac{-35}{18}$$
A) $$\frac{-1}{2}$$
B) $$\frac{-3}{14}$$
C) $$\frac{3}{4}$$
D) $$\frac{-1}{7}$$
B) $$\frac{-3}{14}$$

Question 46.
Which of the following rational number is in standard form?
A) $$\frac{26}{78}$$
B) $$\frac{-9}{20}$$
C) $$\frac{14}{12}$$
D) $$\frac{-48}{16}$$
B) $$\frac{-9}{20}$$

Question 47.
If we subtract ……………… from $$\frac{-3}{4}$$ we get $$\frac{5}{6}$$.
A) $$\frac{-1}{3}$$
B) $$\frac{1}{12}$$
C) $$\frac{-19}{12}$$
D) $$\frac{9}{4}$$
C) $$\frac{-19}{12}$$

Question 48.
Identify the bigger one among the following: $$\frac{-4}{9}, \frac{-5}{12}, \frac{-7}{18}, \frac{-2}{3}$$
A) $$\frac{-7}{18}$$
B) $$\frac{-5}{12}$$
C) $$\frac{-2}{3}$$
D) $$\frac{-4}{9}$$
A) $$\frac{-7}{18}$$

Question 49.
Kishore bought 5$$\frac{3}{4}$$ kg apples and 4$$\frac{1}{2}$$kg oranges then find the total weight in kgs.
A) 3$$\frac {1}{3}$$ kg
B) 10$$\frac {1}{4}$$ kg
C) 7$$\frac {1}{2}$$ kg
D) 9$$\frac {1}{4}$$ kg
B) 10$$\frac {1}{4}$$ kg

Question 50.
Krishna read $$\frac {1}{3}$$ of a book in 1 hour. Then how much he will read in 3$$\frac {1}{3}$$ hrs?
A) $$\frac{16}{15}$$
B) $$\frac{6}{11}$$
C) $$\frac{5}{13}$$
D) $$\frac{1}{2}$$
A) $$\frac{16}{15}$$

Question 51.
$$\frac{11}{2} \times \frac{3}{10}$$ = ………………..
A) $$\frac{9}{10}$$
B) $$\frac{3}{20}$$
C) $$\frac{30}{20}$$
D) $$\frac{33}{20}$$
D) $$\frac{33}{20}$$

Question 52.
1 – $$\frac{1}{2}-\frac{1}{2}-\frac{1}{2}$$ = ………………..
A) $$\frac{-1}{2}$$
B) $$\frac{1}{2}$$
C) -1
D) 10
A) $$\frac{-1}{2}$$

Question 53.
$$\frac{3}{5}$$ ÷ $$\frac{1}{3}$$ = ……………….
A) 9
B) $$\frac{1}{3}$$
C) $$\frac{1}{5}$$
D) $$\frac{9}{5}$$
D) $$\frac{9}{5}$$

Question 54.
Reciprocal of 1$$\frac{1}{2}$$ = ………………..
A) $$\frac{2}{3}$$
B) $$\frac{3}{2}$$
C) 1
D) $$\frac{1}{2}$$
A) $$\frac{2}{3}$$

Question 55.
51.36 + 87.35 = …………………
A) 131.71
B) 138.71
C) 108.71
D) 81.789
B) 138.71

Question 56.
$$\frac{-24}{84}$$ = ………………
A) $$\frac{-7}{2}$$
B) $$\frac{7}{2}$$
C) $$\frac{-2}{7}$$
D) $$\frac{2}{7}$$
C) $$\frac{-2}{7}$$

Question 57.
Equivalent fraction to $$\frac{3}{5}$$ is ………………….
A) $$\frac{12}{20}$$
B) $$\frac{2}{20}$$
C) $$\frac{3}{9}$$
D) $$\frac{1}{16}$$
A) $$\frac{12}{20}$$

Question 58.
$$\frac{-4}{9}=\frac{x}{-27}$$ then x = ……………….
A) 13
B) 16
C) 10
D) 12
D) 12

Question 59.
$$\frac{-2}{5}\left(\frac{-7}{10}+\frac{1}{6}\right)$$ = ……………………..
A) $$\frac{-11}{75}$$
B) $$\frac{-16}{75}$$
C) $$\frac{-14}{75}$$
D) $$\frac{-15}{75}$$
B) $$\frac{-16}{75}$$

Question 60.
($$\frac{3}{4}$$) ÷ 0 = ………………….
A) 0
B) -3
C) -4
D) Not defined
D) Not defined

Question 61.
$$\frac{8}{-5}+\frac{-5}{-6}$$ = ………………….
A) $$\frac{-23}{30}$$
B) $$\frac{3}{23}$$
C) $$\frac{-1}{30}$$
D) $$\frac{1}{16}$$
A) $$\frac{-23}{30}$$

Question 62.
$$\frac{3}{8}+\frac{-2}{5}+\frac{7}{8}-\frac{4}{5}$$ = ………………….
A) $$\frac{1}{3}$$
B) $$\frac{1}{20}$$
C) $$\frac{-1}{4}$$
D) $$\frac{-1}{20}$$
B) $$\frac{1}{20}$$

Question 63.
If we subtract $$\frac{3}{5}$$ from $$\frac{7}{20}$$ we get …………………
A) $$\frac{-1}{4}$$
B) $$\frac{1}{4}$$
C) $$\frac{-1}{2}$$
D) $$\frac{2}{7}$$
A) $$\frac{-1}{4}$$

Question 64.
The sum of two Rational numbers is $$\frac{1}{2}$$ and one of the numbers is $$\frac{-8}{19}$$ then the second number is ………………
A) $$\frac{1}{4}$$
B) $$\frac{3}{31}$$
C) $$\frac{5}{38}$$
D) $$\frac{35}{38}$$
D) $$\frac{35}{38}$$

Question 65.
How much can be added to -2 to get $$\frac{7}{9}$$?
A) $$\frac{25}{9}$$
B) $$\frac{5}{9}$$
C) $$\frac{1}{4}$$
D) $$\frac{1}{9}$$
A) $$\frac{25}{9}$$

Question 66.
4 – (2$$\frac{2}{3}$$ + 3$$\frac{1}{5}$$) = ………………..
A) $$\frac{-2}{15}$$
B) $$\frac{-28}{15}$$
C) $$\frac{8}{15}$$
D) $$\frac{1}{2}$$
B) $$\frac{-28}{15}$$

Question 67.
$$\frac{2}{3}$$ × $$\frac{-5}{6}$$ = ………………….
A) $$\frac{-1}{9}$$
B) $$\frac{1}{2}$$
C) $$\frac{-5}{9}$$
D) $$\frac{5}{3}$$
C) $$\frac{-5}{9}$$

Question 68.
$$\frac{7}{9}$$ × 1$$\frac{1}{2}$$ × 8$$\frac{1}{17}$$ × ($$\frac{1}{2}-\frac{1}{2}$$) = ………………….
A) $$\frac{1}{189}$$
B) $$\frac{1}{24}$$
C) 0
D) $$\frac{1}{6}$$
C) 0

Question 69.
$$\left(\left(\frac{5}{9}\right)^{-1}\right)^{-1}$$ = ………………….
A) $$\frac{5}{9}$$
B) $$\frac{9}{5}$$
C) $$\frac{-1}{9}$$
D) $$\frac{5}{81}$$
A) $$\frac{5}{9}$$

Question 70.
($$\frac{1}{-8}$$)-1 = …………………..
A) 4
B) 1
C) 8
D) -8
D) -8

Question 71.
x = $$\frac{-1}{5}$$ y = $$\frac{2}{7}$$ then xy = ………………..
A) $$\frac{1}{10}$$
B) $$\frac{1}{9}$$
C) $$\frac{1}{35}$$
D) $$\frac{-2}{35}$$
D) $$\frac{-2}{35}$$

Question 72.
The multiplicative inverse of $$\frac{-2}{7} \times \frac{-17}{15}$$ is …………………
A) $$\frac{105}{34}$$
B) $$\frac{15}{34}$$
C) $$\frac{115}{27}$$
D) $$\frac{105}{3}$$
A) $$\frac{105}{34}$$

Question 73.
$$\frac{16}{35}$$ ÷ $$\frac{3}{7}$$ = ………………..
A) $$\frac{7}{3}$$
B) $$\frac{6}{17}$$
C) $$\frac{1}{15}$$
D) $$\frac{16}{15}$$
D) $$\frac{16}{15}$$

Question 74.
If we ($$\frac{-5}{6}$$) is multiply by …………….. we get the product as $$\frac{8}{9}$$
A) $$\frac{1}{4}$$
B) $$\frac{-16}{15}$$
C) $$\frac{9}{7}$$
D) $$\frac{6}{7}$$
B) $$\frac{-16}{15}$$

Question 75.
$$\frac{1}{2}$$ × ($$\frac{-2}{3}+\frac{1}{4}$$) = ………………….
A) 1
B) 4
C) 5
D) none
D) none

Question 76.
$$\left|\frac{1}{2}-\frac{1}{2}\right|$$ = …………………
A) $$\frac {-1}{2}$$
B) 1
C) 0
D) $$\frac {1}{2}$$
C) 0

Question 77.
4$$\frac{2}{7}$$ ÷ 2$$\frac{2}{5}$$ = …………………..
A) 1$$\frac{11}{14}$$
B) 1$$\frac{1}{7}$$
C) 12$$\frac{3}{4}$$
D) 11$$\frac{1}{7}$$
A) 1$$\frac{11}{14}$$

Question 78.
Thecostof 5$$\frac{2}{5}$$ litres of milk is ₹ 101$$\frac{1}{4}$$ then find the cost of 1 litre.
A) ₹ 9$$\frac{1}{2}$$
B) ₹ 6$$\frac{1}{2}$$
C) ₹ 8$$\frac{1}{2}$$
D) ₹ 18$$\frac{3}{4}$$
D) ₹ 18$$\frac{3}{4}$$

Question 79.
If we multiply 7$$\frac{5}{9}$$ by $$\frac{3}{2}$$ we get ………………..
A) 1$$\frac{1}{3}$$
B) 11$$\frac{1}{3}$$
C) 7$$\frac{1}{2}$$
D) 1$$\frac{1}{2}$$
B) 11$$\frac{1}{3}$$

Question 80.
3$$\frac{1}{5}$$ – $$\frac{1}{5}$$ + 1 = ……………….
A) 7
B) 3
C) 4
D) 5
C) 4

Question 81.
$$\frac{13}{14}+\frac{27}{35}$$ = ………………….
A) 1$$\frac{7}{10}$$
B) 2$$\frac{7}{31}$$
C) 1$$\frac{1}{4}$$
D) 1$$\frac{1}{35}$$
A) 1$$\frac{7}{10}$$

Question 82.
$$\frac{5}{9}-\frac{7}{12}+\frac{1}{2}$$ = ………………
A) $$\frac{7}{36}$$
B) $$\frac{17}{36}$$
C) $$\frac{1}{2}$$
D) $$\frac{9}{7}$$
B) $$\frac{17}{36}$$

Question 83.
$$\frac{4}{5}$$ the of 1 hour = ………………..minutes.
A) 48
B) 84
C) 42
D) 13
A) 48

Question 84.
The measurements of a rectangular park are 41$$\frac{2}{3}$$ m and 18$$\frac{3}{5}$$ m then the area = ……………… m2.
A) 114
B) 192
C) 775
D) 275
C) 775

Question 85.
$$\frac{\mathbf{a}}{\mathbf{y}-\mathbf{z}}=\frac{\mathbf{b}}{\mathbf{z}-\mathbf{x}}=\frac{\mathbf{c}}{\mathbf{x}-\mathbf{y}}$$ = then ax + by + cz = ………………
A) -a
B) – b
C) 0
D) -1
C) 0

Question 86.
2a + (-2a) = ……………….
A) – 4a
B) – 4a2
C) – a
D) 0
D) 0

Question 87.
x2 × = $$\frac{1}{x^{2}}$$ ……………… (x ≠ 0) = …………………
A) x2
B) x
C) x4
D) 1
D) 1

Question 88.
-2 – $$\frac{1}{2}+\frac{1}{2}$$ – 7 = ………………..
A) – 9
B) 9
C) 7
D) 16
A) – 9

Question 89.
$$\frac{25}{16}$$ = …………………
A) 1.6521
B) 2.532
C) 1.5625
D) 10.56
C) 1.5625

Question 90.
4.$$\overline{\mathbf{7}}$$ = ………………..
A) $$\frac{43}{9}$$
B) $$\frac{9}{4}$$
C) $$\frac{12}{31}$$
D) $$\frac{47}{10}$$
A) $$\frac{43}{9}$$

Question 91.
The natural number 5 can be written as …………………
A) $$\frac{10}{2}$$
C) $$\frac{50}{10}$$
B) $$\frac{15}{3}$$
D) All the above
D) All the above

Question 92.
(2 – 3) – 2 = ………………..
A) 3
B) – 3
C) – 4
D) 6
B) – 3

Question 93.
$$\left(\frac{1}{2}-\frac{3}{4}\right)-\left(\frac{-5}{4}\right)$$ = ………………..
A) 0
B) 1
C) – 1
D) 4
B) 1

Question 94.
– $$\frac {1}{2}$$ = 3
A) $$\frac {3}{2}$$
B) 4
C) 3
D) 3$$\frac {1}{2}$$
D) 3$$\frac {1}{2}$$

Question 95.
(b – c) a = …………………….
A) ab – c
B) ac – ba
C) ba – ca
D) b – ac
C) ba – ca

Question 96.
A rational number between a and b is …………………
A) $$\frac{a+b}{2}$$
B) ab
C) $$\sqrt{a b}$$
D) $$\frac{b}{2}$$ – a
A) $$\frac{a+b}{2}$$

Question 97.
$$\frac{5}{-22}+\frac{13}{33}$$ = ………………..
A) $$\frac{3}{8}$$
B) $$\frac{1}{9}$$
C) $$\frac{1}{2}$$
D) $$\frac{1}{6}$$
D) $$\frac{1}{6}$$

Question 98.
The perimeter of given figure is………………

A) $$\frac{110}{9}$$
B) $$\frac{17}{32}$$
C) $$\frac{177}{20}$$
D) $$\frac{190}{41}$$
C) $$\frac{177}{20}$$

Question 99.
The sum of two rational numbers is -7 the second number is $$\frac{-15}{7}$$ then the second number is …………………
A) 1
B) 4
C) -1
D) none
If we multiply the addition of $$\frac{91}{12}$$ and $$\frac{11}{3}$$ with their difference we get ……………………
A) $$\frac{111}{40}$$
B) $$\frac{135}{47}$$
C) $$\frac{119}{13}$$
D) $$\frac{35}{47}$$
B) $$\frac{135}{47}$$