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## AP Board 7th Class Maths Bits 1st Lesson Integers

Multiple Choice Questions :

Question 1.

The collection of all whole numbers and negative numbers is called _______

(A) Whole numbers

(B) Integers

(C) Natural numbers

(D) All of the above

Answer:

(B) Integers

Question 2.

Positive integers are represented by _______

(A) N

(B) Z

(C) Z^{+}

(D) Z

Answer:

(C) Z^{+}

Question 3.

Negative number can be write on the number line at _______ side of zero.

(A) left

(B) right

(C) middle

(D) all of the above

Answer:

(A) left

Question 4.

To add a positive integer, we move towards _______

(A) Left

(B) right

(C) middle

(D) all of the above

Answer:

(B) right

Question 5.

The integer that represents the statement Aditya deposited ₹ 4000 in his savings accout _______

(A) -4000

(B) +4000

(C) A and B

(D) None of these

Answer:

(B) +4000

Question 6.

Which is the smallest of the numbers – 15, -2, -6, -3, -4?

(A) -2

(B) -3

(C) -15

(D) -4

Answer:

(C) -15

Question 7.

5 – (-7) = _______

(A) 2

(B) 35

(C) – 12

(D) 12

Answer:

(D) 12

Question 8.

The value of 4 – (- 6) + (- 8) is _______

(A) 2

(B) – 10

(C) 18

(D) – 2

Answer:

(A) 2

Question 9.

Product of two negative integers is _______

(A) Positive

(B) Negative

(C) Zero

(D) None

Answer:

(A) Positive

Question 10.

Which is the nearest negative integer to zero ?

(A) + 2

(B) – 5

(C)-4

(D) – 2

Answer:

(D) – 2

Question 11.

The idea of the product of negative numbers was first considered by

(A) Bhaskara Charya

(B) Brahmagupta

(C) Aryabhatta

(D) Aditya

Answer:

(B) Brahmagupta

Question 12.

Integer greater than – 231 _______

(A) – 540

(B) – 430

(C) – 235

(D) – 200

Answer:

(D) – 200

Question 13.

Integer which is neither positive nor negative is _______

(A) 1

(B) 2

(C) 0

(D) – 2

Answer:

(C) 0

Question 14.

If we represent all the integer on a vertical line, then the value of the number from top to bottom is _______

(A) Increases

(B) No change

(C) Decreases

(D) None

Answer:

(C) Decreases

Question 15.

A submarine is in the sea at a depth of 1800 metres, sign to be used for the statement is _______

(A) – 1800

(B) + 1800

(C) A and B

(D) None

Answer:

(A) – 1800

Question 16.

Additive inverse of (- a) is _______

(A) – a

(B) \(\frac{1}{a}\)

(C) a

(D) –\(\frac{1}{a}\)

Answer:

(C) a

Question 17.

If we remove all the negative numbers from the set of integers, then it will become _______

(A) N

(B) W

(C) Z

(D) Z+

Answer:

(B) W

Question 18.

Additive inverse of 78 is _______

(A) 78

(B) – 78

(C) \(\frac{1}{78}\)

(D) ± 78

Answer:

(B) – 78

Question 19.

Subtract 30 from – 80.

(A) -110

(B) – 50

(C) –\(\frac{8}{3}\)

(D) – 2400

Answer:

(A) -110

Question 20.

Ascending order of -4, 2, -6, 0, 5, -1, -3 _______

(A) -6, -4,-3, – 1, 0, 2, 5

(B) – 6, – 4, – 3, 2, – 1, 0, 5

(C) -6, 5, -4, -3, 2,-1,0

(D) 0, – 1, 2, -3, -4, 5, -6

Answer:

(A) -6, -4,-3, – 1, 0, 2, 5

Question 21.

Z-{0, 1, 2, 3, ……….} = _______

(A) N

(B) W

(C) -1, -2, -3, ……..

(D) 1, 2, 3, 4, ……..

Answer:

(C) -1, -2, -3, ……..

Question 22.

The symbol for belongs to is _______

(A) Φ

(B) ∃

(C) ∈

(D) ∀

Answer:

(C) ∈

Question 23.

Multiplicative identity is _______

(A) 0

(B) – 1

(C) 1

(D) 2

Answer:

(C) 1

Question 24.

a + 0 = 0 + a = _______

(A) a

(B) 0

(C) 2a

(D) -a

Answer:

(A) a

Question 25.

For any integers a, b and c,

a × (b + c) = _______

(A) (a × c) + (c × b)

(B) (a × b) + (b × a)

(C) (b × c) + (a × c)

(D) (a × b) + (a × c)

Answer:

(D) (a × b) + (a × c)

Question 26.

(- 1) × (- 1) × (-1) = _______

(A) – 3

(B) – 1

(C) -2

(D) 1

Answer:

(A) – 3

Question 27.

If x < 0, then |x| = _______

(A) x

(B) 0

(C) – x

(D) None

Answer:

(C) – x

Question 28.

|-30| = _______

(A) -30

(B) 30

(C) 0

(D) None

Answer:

(B) 30

Reasoning Questions :

Question 1.

2, 3, 5, 7, 11, _______

(A) 13

(B) 15

(C) 17

(D)19

Answer:

(A) 13

Question 2.

5, 7, 10, 15, 22, _______

(A) 31

(B) 37

(C) 33

(D) 43

Answer:

(C) 33

Question 3.

4, 8, 12, 16, 20, _______

(A) 22

(B) 24

(C) 26

(D) 28

Answer:

(B) 24

Question 4.

8, 11, 15, 20, 26, _______

(A) 30

(B)31

(C)32

(D)33

Answer:

(D)33

Question 5.

6, 8, 12, 18, 26, _______

(A)32

(B) 34

(C) 36

(D) 38

Answer:

(C) 36

Question 6.

10, 13, 18, 25, 36 _______

(A) 49

(B) 45

(C) 47

(D) 43

Answer:

(A) 49

Question 7.

10, 7, 17, 24, 41, _______

(A) 55

(B) 65

(C) 50

(D) 60

Answer:

(B) 65

Question 8.

43, 47, 59, 61, 67, _______

(A) 69

(B) 65

(C) 73

(D) 71

Answer:

(D) 71

Question 9.

36, 37, 39, 42, 46, _______

(A) 50

(B) 53

(C) 51

(D) 52

Answer:

(C) 51

Question 10.

150, 157, 165, 174, 184, _______

(A) 185

(B) 188

(C) 191

(D) 195

Answer:

(D) 195

Fill in the blanks :

Question 1.

The set of integers are represented by _______

Answer:

Z

Question 2.

Positive number can be write on the number line-on the _______ side of zero.

Answer:

Right

Question 3.

Negative integers are represented by _______

Answer:

z^{–}

Question 4.

To add a negative integer, we move on the number line towards _______

Answer:

left side

Question 5.

The integer can represent statement temperature of Glacier is 16° below 0°C is _______

Answer:

– 16°C

Question 6.

Biggest integer of tlje numbers – 6, 0, – 19, – 30, -2,-4 ?

Answer:

0

Question 7.

(- 8) + .(- 3) + (6)

Answer:

-5

Question 8.

A loss of ₹ 600 is represented as _______

Answer:

– ₹ 600

Question 9.

(- 4) × (- 7) = _______

Answer:

+ 28

Question 10.

The book “Brahmarsphuta Siddantham” was written by _______

Answer:

Brahmaguptha

Question 11.

1 inch = _______ cm.

Answer:

2.54

Question 12.

If the product of two integers is zero, then _______

Answer:

One of the two integers is zero.

Question 13.

Sum of two positive integers is _______

Answer:

Positive

Question 14.

Every integer can Se represented on a number line _______ or _______

Answer:

horizontally (or) vertically

Question 15.

An aeroplane is flying at a height of 3000 metres. Sign to be used for the statement is _______

Answer:

+ 3000 m

Question 16.

Additive inverse of (+ x) is _______

Answer:

– x

Question 17.

Additive inverse (-120) is _______

Answer:

+ 120

Question 18.

Subtract – 60 from + 90 is _______

Answer:

+ 150

Question 19.

Descending order of (-11), (-1), (-111), (-1111) is _______

Answer:

(-1), (-11), (-111), (-1111)

Question 20.

Z-{-1, -2, -3, -4,…………} = _______

Answer:

W= {0, 1, 2, 3, …………..}

Question 21.

Additive identity is _______

Answer:

zero

Question 22.

a × 1 = 1 × a = _______

Answer:

a

Question 23.

(- 1) × (- 1) × (- 1) × (- 1) = _______

Answer:

1

Question 24.

Expand BODMAS _______

Answer:

B – Bracket,

O – Of,

D – Division,

M – Multiplication,

A – Addition,

S – Subtraction

Question 25.

6 × 6 – 6 ÷ 6 + 6 = _______

Answer:

41

Question 26.

24 + 150 ÷ 3 {24 -(16- 5-3)} = _______

Answer:

29

Match the following :

Question 1.

1. Integers | (A) Z^{+} |

2. Whole numbers | (B) N |

3. Positive integers | (C) W |

4. Natural numbers | (D) Z^{–} |

5. Negative integers | (E) Z |

Answer:

1. Integers | (E) Z |

2. Whole numbers | (C) W |

3. Positive integers | (A) Z^{+} |

4. Natural numbers | (B) N |

5. Negative integers | (D) Z^{–} |

Question 2.

1. a × (b + c) = | (A) a |

2. (a × b) × c = | (B) (a + b) + c |

3. a + 0 = 0 + a = | (C) a × (b × c) |

4. a × 0 = 0 × a = | (D) (a × b) + (a × c) |

5. a + (b + c) = | (E) 0 |

Answer:

1. a × (b + c) = | (D) (a × b) + (a × c) |

2. (a × b) × c = | (C) a × (b × c) |

3. a + 0 = 0 + a = | (A) a |

4. a × 0 = 0 × a = | (E) 0 |

5. a + (b + c) = | (B) (a + b) + c |

Question 3.

1. a, b ∈ Z, then a × b ∈ Z | (A) Distributive property |

2. If a, b ∈ Z, then a + b = b + a | (B) Additive identity property |

3. If a, b ∈ Z, then a × (b + c) = (a × b) + (a × c) | (C) Additive inverse property |

4. If a ∈ Z, then a + 0 = 0 + a = a | (D) Closure property |

5. If a ∈ Z, then a + (-a) = (-a) + a = o | (E) Commutative property |

Answer:

1. a, b ∈ Z, then a × b ∈ Z | (D) Closure property |

2. If a, b ∈ Z, then a + b = b + a | (E) Commutative property |

3. If a, b ∈ Z, then a × (b + c) = (a × b) + (a × c) | (A) Distributive property |

4. If a ∈ Z, then a + 0 = 0 + a = a | (B) Additive identity property |

5. If a ∈ Z, then a + (-a) = (-a) + a = o | (C) Additive inverse property |

Question 4.

1. If x > 0, then | x | = | (A) 0 |

2. If x < 0, then |x| = | (B) 20 |

3. If x = 0, then |x| = | (C) x |

4. |-20| = | (D) 8 |

5. 181 = | (E) x |

Answer:

1. If x > 0, then | x | = | (E) x |

2. If x < 0, then |x| = | (C) -x |

3. If x = 0, then |x| = | (A) 0 |

4. |-20| = | (B) 20 |

5. 181 = | (D) 8 |