Solving these TS 6th Class Maths Bits with Answers 3rd Lesson Playing with Numbers Bits for 10th Class will help students to build their problem-solving skills.

## TS 6th Class Maths Bits Chapter 3 Playing with Numbers

Choose the correct answer and write it in the brackets.

Question 1.

The number not divisible by 2 is _______.

A) 1113

B) 1110

C) 1112

D) 1104

Answer:

A) 1113

Question 2.

The number divisible by 2 is _______.

A) 983

B) 981

C) 985

D) 986

Answer:

D) 986

Question 3.

The number divisible hy 3 is _______.

A) 1714

B) 2406

C) 1450

D) 683

Answer:

B) 2406

Question 4.

The number divisible, by 6 is _______.

A) 1111

B) 1112

C) 1110

D) 1114

Answer:

C) 1110

Question 5.

9846 is not divisible by _______.

A) 2

B) 4

C) 3

D) 9

Answer:

B) 4

Question 6.

Which of the following number is divisible by 1, 2, 3 4, 5 is _______?

A) 120

B) 60

C) 20

D) 30

Answer:

B) 60

Question 7.

The smallest prime number is _______.

A) 0

B) 1

C) 2

D) 3

Answer:

C) 2

Question 8.

The smallest composite number is _______.

A) 3

B) 4

C) 2

D) 1

Answer:

B) 4

Question 9.

HCF of 80 and 56 is _______.

A) 4

B) 2

C) 8

D) 1

Answer:

C) 8

Question 10.

HCF of 12 and 30 is _______.

A) 6

B) 4

C) 2

D) 3

Answer:

A) 6

Question 11.

HCF of 40 and 60 is _______.

A) 2

B) 4

C) 10

D) 20

Answer:

D) 20

Question 12.

Number divisible by 8 is _______.

A) 1243

B) 1244

C) 1240

D) 1246

Answer:

C) 1240

Question 13.

Number divisible by 11 is _______.

A) 1221

B) 1784

C) 1691

D) 1550

Answer:

A) 1221

Question 14.

The number of factors of 12 is _______.

A) 4

B) 6

C) 5

D) 3

Answer:

B) 6

Question 15.

LCM of 24, 36 and 72 is _______.

A) 12

B) 36

C) 72

D) 24

Answer:

C) 72

Question 16.

LCM of 5, 6 and 7 is _______.

A) 30

B) 42

C) 35

D) 210

Answer:

D) 210

Question 17.

LCM of 6 and 8 is _______.

A) 24

B) 12

C) 48

D) 14

Answer:

A) 24

Question 18.

LCM of 45 and 90 is _______.

A) 180

B) 90

C) 15

D) 45

Answer:

B) 90

Question 19.

A number divisible by both 8 and 11 is _______.

A) 1353

B) 1342

C) 1331

D) 1320

Answer:

D) 1320

Question 20.

The smallest number that must be added to 988, so that it becomes exactly divisible by 5 is _______.

A) 0

B) 1

C) 2

D) 3

Answer:

C) 2

Question 21.

The smallest number that has to be subtracted from 6 M3, so that it becomes exactly divisible by 10 is _______.

A) 3

B) 2

C) 4

D) 5

Answer:

A) 3

Question 22.

This is not a factor of 78 _______.

A) 3

B) 2

C) 4

D) 6

Answer:

C) 4

Question 23.

A number equal to the sum of its other factors _______.

A) 8

B) 6

C) 12

D) 10

Answer:

B) 6

Question 24.

Which of the following are twin primes ?

A) (11, 13)

B) (2, 3)

C) (2, 5)

D) (3, 7)

Answer:

A) (11, 13)

Question 25.

Which of the following are co-primes ?

A) (3, 5)

B) (5, 7)

C) (3, 8)

D)(17, 19)

Answer:

C) (3, 8)

Question 26.

Which of the following number is divisible by 2’ ?

A) 1027

B) 8129

C) 56785

D) 22558

Answer:

D) 22558

Question 27.

Which of the following number is divisible by ‘3’ ?

A) 1250

B) 250

C) 4335

D) 321729

Answer:

D) 321729

Question 28.

Which of the following is divisible by 6?

A) 4335

B) 10205

C) 312795

D) 321729

Answer:

C) 312795

Question 29.

Which of the following is not divisible by 5 ?

A) 105

B) 45880

C) 10204

D) 8055

Answer:

C) 10204

Question 30.

Which of the following is divisible by ’10’?

A) 12501

B) 66605

C) 99099

D) 1234567

Answer:

B) 66605

Question 31.

Which of the following number is not divisible by ‘9’ ?

A) 197

B) 198

C) 988974

D) 4689

Answer:

A) 197

Question 32.

The factors of 12 are _______.

A) 1, 2

B) 3, 4

C) 6, 12

D) All the above

Answer:

D) All the above

Question 33.

Which of the following is not a factor of 24?

A) 12, 3

B) 6, 2

C) 4, 1

D) 5, 7

Answer:

D) 5, 7

Question 34.

What is the greatest factor of 80 which is also a divisor of 32 ?

A) 2

B) 4

C) 8

D) 16

Answer:

D) 16

Question 35.

Which of the following is not a composite number ?

A) 12

B) 4

C) 7

D) 9

Answer:

C) 7

Question 36.

Which of the following is neither a prime nor a composite ?

A) 1

B) 2

C) 3

D) 4

Answer:

A) 1

Question 37.

Which of the following is not a prime?

A) 121

B) 147

C) 97

D) 91

Answer:

C) 97

Question 38.

Which of the following are a pair of co-primes ?

A) (30, 35)

B) (99, 21)

C) (3, 5)

D) (63, 45)

Answer:

C) (3, 5)

Question 39.

Which of the following are not a pair of twin primes ?

A) (2, 3)

B) (3, 5)

C) (5, 7)

D) (11, 13)

Answer:

A) (2, 3)

Question 40.

The product of two primes of ’91’ is _______.

A) 13 × 17

B) 7 × 13

C) 11 × 7

D) 2 × 3 × 5 × 7

Answer:

B) 7 × 13

Question 41.

Express 47 as sum of 3 primes ?

A) 13 + 29 + 5

B) 29 + 11 + 7

C) 37 + 5 + 11

D) All the above

Answer:

D) All the above

Question 42.

What is the prime factorisation of 48 ?

A) 2 × 2 × 2 × 3

B) 2 × 2 × 2 × 2 × 3

C) 2 × 2 × 3 × 3

D) 2 × 3 × 3 × 3

Answer:

B) 2 × 2 × 2 × 2 × 3

Question 43.

Whatiscpmmon factor of 12 and 18 ?

A) 4

B) 9

C) 5

D) 6

Answer:

D) 6

Question 44.

What is the H.C.F of 12, 30, 36 is

A) 9

B) 3

C) 6

D) 18

Answer:

C) 6

Question 45.

What is the H.C.F of 40, 56 and 60 ?

A) 4

B) 6

C) 8

D) 16

Answer:

A) 4

Question 46.

Two tankers contain 850 ltr and 680 ltr of kerosene oil. Then the maximum capacity of container using both tankers at a time to fill it ? (in ltrs)

A) 170

B) 160

C) 180

D) 240

Answer:

A) 170

Question 47.

What is the H.C.F of any pair of co-primes?

A) 0

B) 1

C) 2

D) can’t be determined

Answer:

B) 1

Question 48.

Which of the following is not a multiple of ‘7’?

A) 49

B) 63

C) 147

D) 93

Answer:

D) 93

Question 49.

The L.C.M of 24, 90 is _________?

A) 270

B) 180

C) 360

D) 450

Answer:

C) 360

Question 50.

What is the L.C.M of 21,35,40 ?

A) 240

B) 210

C) 70

D) 140

Answer:

B) 210

Question 51.

The L.C.M of any 3 primes is equal to _______.

A) their product

B) their sum

C) their H.C.F

D) none

Answer:

A) their product

Question 52.

The greatest 3 – digit number which is divisible by 26, 14, 91 leaves the remainder ‘7’ _______.

A) 185

B) 182

C) 189

D) 183

Answer:

C) 189

Question 53.

What are numbers whose L.C.M and H.C.F are equal ?

A) (2, 3)

B) (4, 5)

C) (1, 2)

D) (2, 2)

Answer:

D) (2, 2)

Question 54.

The smallest number which and when is subtracted to 7, is exactly divisible by 7, 8, 9 is _______?

A) 504

B) 511

C) 447

D) 502

Answer:

B) 511

Question 55.

The L.C.M and H.C.F of two numbers is 24, 4 resp. If one of the number is 12, then the other number is _______ ?

A) 8

B) 12

C) 6

D) 9

Answer:

A) 8

Question 56.

The product of two numbers is 360. If H.C.F is 9 then their L.C.M is _______.

A) 30

B) 4

C) 40

D) 60

Answer:

C) 40

Question 57.

Which of the following number is divisible by ‘4’?

A) 1221

B) 1831

C) 1212

D) 11202

Answer:

A) 1221

Question 58.

Which of the following is not divisible by 4 ?

A) 76532

B) 11940

C) 195671

D) 914148

Answer:

C) 195671

Question 59.

Which of the following is divisible by 8?

A) 796385

B) 193624

C) 110242

D) 123486

Answer:

B) 193624

Question 60.

76104 is divisible by _______.

A) 8

B) 4

C) 2

D) All the above

Answer:

D) All the above

Question 61.

1089 is divisible by _______.

A) 11

B) 7

C) 9

D) 3

Answer:

A) 11

Question 62.

The nearest number to 2025 which is divisible by 11 is ?

A) 2024

B) 2026

C) 2022

D) 2002

Answer:

A) 2024

Question 63.

Which of the following is a polyndrome number ?

A) 2156

B) 1441

C) 6174

D) 1024

Answer:

B) 1441

Question 64.

Prime factorisation 90 is given below find the missing number ? k = ?

A) 8

B) 15

C) 9

D) 3

Answer:

C) 9

Question 65.

Match the following :

Group – A | Group – B |

1. Divisible by 4 | a) 12560 |

2. Divisible by 8 | b) 988974 |

3. Divisible by 9 | c) 777864 |

4. Divisible by 11 | d) 101015101 |

A) 1 – a, 2 – c, 3 – b, 4 – d

B) 1 – a, 2 – b, 3 – c, 4 – d

C) 1 – a, 2 – b, 3 – d, 4 – c

D) 1 – c, 2 – a, 3 – b, 4 – d

Answer:

A) 1 – a, 2 – c, 3 – b, 4 – d

Question 66.

Match the following:

Group – A |
Group – B |

1. Factor of 65 | a) 9 |

2. Factor of 42 | b) 13 |

3. Factor of 48 | c) 8 |

4. Factor of 81 | d) 7 |

A) 1 – b, 2 – d, 3 – c, 4 – a

B) 1 – d, 2 – b, 3 – c, 4 – a

C) 1 – b, 2 – d, 3 – a, 4 – c

D) 1 – d, 2 – c, 3 – a, 4 – b

Answer:

A) 1 – b, 2 – d, 3 – c, 4 – a

Question 67.

Match the following :

Group – A |
Group – B |

1. If 10f24 divisible by 11 then, f = | a) 1 |

2. If 41g2 divisible by ‘8’ then, g = | b) 0 |

3. If 14,56h divisible by 4 then, h = | c) 5 |

4. If 2080j divisible by 11 then, j = | d) 8 |

A) 1 – a, 2 – b, 3 – c, 4 – d

B) 1 – d, 2 – c, 3 – b, 4 – a

C) 1 – c, 2 – d, 3 – b, 4 – a

D) 1 – d, 2 – c, 3 – a, 4 – b

Answer:

B) 1 – d, 2 – c, 3 – b, 4 – a

Question 68.

Match the following :

Group – A | Group – B |

1. Palindrome number | a) 50 |

2. Kaprekar’s constant | b) 1221 |

3. Ramanujan number | c) 6174 |

4. No. of primesless than 100 | d) 1729 |

A) 1 – d, 2 – c, 3 – b, 4 – a

B) 1 – b, 2 – c, 3 – d, 4 – a

C) 1 – c, 2 – b, 3 – d, 4 – a

D) 1 – b, 2 – d, 3 – c, 4 – a

Answer:

B) 1 – b, 2 – c, 3 – d, 4 – a

Question 69.

Which of the following is true ?

A) 2 is a composite number

B) 4 is a prime number

C) 2 is an even prime

D) 1 is both prime and composite

Answer:

C) 2 is an even prime

Question 70.

Which of the following is not true ?

A) 6 is a factor of 6

B) 1 is the factor of all numbers

C) Number of factors of a given num¬ber are countable

D) Every factor is greater than or equal to the given number.

Answer:

D) Every factor is greater than or equal to the given number

Question 71.

Which of the following is not true ?

A) 45880 is divisible by 10

B) 1771 is divisible by 11

C) 9847 is divisible by 9

D) 10248 is divisible by 8

Answer:

C) 9847 is divisible by 9

Question 72.

If x6724 is divisible by 3 then x stands for _______.

A) 9

B) 8

C) 4

D) All the above

Answer:

D) All the above

Question 73.

If 174R1 is a polyndrome number then R = _______.

A) 7

B) 4

C)1

D) 2

Answer:

A) 7

Question 74.

If 98a974 is divisible by 9 then a = _______.

A) 9

B) 8

C) 7

D) 5

Answer:

B) 8

Question 75.

Which of the following is a prime number which when on reversing its digits gives again a prime number

A) 19

B) 13

C) 23

D) 27

Answer:

B) 13

Question 76.

2 × x × 3 × 5 × y is a prime factorisation of 120 then x – y = ?

A) 0

B) 1

C) 2

D) 4

Answer:

A) 0

Question 77.

Statement (P) :

The relation between L.C.M and H.C.F is product of the numbers = L.C.M × H.C.F.

Statement (Q) :

If one of the two given numbers is a multiple of the other, then the greater number will be their L.C.M.

A) Both P & Q are correct

B) P is not correct, Q is correct

C) P is correct, Q is not correct

D) Both P & Q is not correct.

Answer:

A) Both P & Q are correct

Question 78.

Statement (X) : HCF of any two consecutive numbers is 2.

Statement (Y): 2 is the only even prime

Statement (Z): 9 is the least composite number.

A) X, Y, Z are true

B) X is true, Y is false, Z is true

C) X is false, Y is true, Z is false

D) X, Y, Z are false

Answer:

C) X is false, Y is true, Z is false

Question 79.

Statement (A) : L.C.M of 22 × 33 × 5, 23 × 32 × 7 is 22 × 32 × 2 × 3 × 5 × 7.

Statement (B) : L.C.M of \(\frac{a}{b}, \frac{c}{d}, \frac{e}{f}\) is L.C.M of a, c, e / H.C.F of b, d, f.

Statement (C) : H.C.F of \(\frac{l}{\mathrm{~m}}, \frac{\mathrm{n}}{\mathrm{o}}, \frac{\mathrm{p}}{\mathrm{q}}\) is H.C.F of l, n, p / H.C.F of m, o, q

A) A, B & C are true

B) A is true, B is false, C is true

C) A is false, B is true, C is false

D) A, B & C are false.

Answer:

A) A, B & C are true.

Question 80.

_______ is factor of every number.

A) 0

B) 1

C) 2

D) 5

Answer:

B) 1

Question 81.

The numbers which have only ‘1’ as the common factor are called _______.

A) Twin primes

B) Co-primes

C) Composite numbers

D) Prime factors

Answer:

B) Co-primes

Question 82.

The primes which are differ by 2 are called _______ numbers.

A) Relatively primes

B) Co-primes

C) Twin primes

D) Even primes

Answer:

C) Twin primes

Question 83.

H.C.F of two consecutive numbers is _______.

A) 0

B) 3

C) 2

D) 1

Answer:

D) 1

Question 84.

If one of the two given numbers is a multiple of the other then the L.C.M of the given numbers is _______.

A) smaller number

B) greater number

C) their product

D) their H.C.F

Answer:

B) greater number

Question 85.

In a given number, if last 3-digits are divisible by 8 then the entire number is divisible by _______.

A) 2

B) 4

C) 8

D) All the above

Answer:

D) All the above

Question 86.

H.C.F and L.C.M of two number x and y is p & q respectively, then x × y = _______.

A) p × q

B) L.C.M + H.C.F (p + q)

C) \(\frac{\text { L.C.M }}{\text { H.C.F }}\left(\frac{q}{p}\right)\)

D) \(\frac{\text { H.C.F }}{\text { L.C.M }}\left(\frac{p}{q}\right)\)

Answer:

A) p × q

Question 87.

From the above sum H.C.F (p) = _______.

A) x × y + L.C.M (q)

B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)

C) \(\frac{\text { L.C.M }}{x y}(q)\)

D) x × y × L-C.M (q)

Answer:

B) \(\frac{x \times y}{\text { L.C.M }} \text { (or) } \frac{x y}{q}\)

Question 88.

Every palyndrome number is divisible by _______.

A) 9

B) 4

C) 11

D) 5

Answer:

C) 11

Question 89.

Which of the following is a ‘kaprekar’s constant ?

A) 6174

B) 6147

C) 6714

D) 6471

Answer:

A) 6174

Question 90.

The number whose only factors are 1 and the number itself is called _______.

A) composite number

B) even number

C) odd number

D) prime number

Answer:

D) prime number.