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Playing With Numbers - 24

Description: Playing with Numbers - 24
Number of Questions: 25
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Tags: Playing with Numbers - 24 Playing with Numbers L.C.M. and H.C.F. Reasoning
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What is the result obtained when the greatest common factor of 54 and 100 is added to the 8th multiple of 42?

  1. 314

  2. 334

  3. 338

  4. 350

Show answer
Correct Option: C
Explanation:

Factors of 54 = 1, 2, 3, 6, 9, 13, 18, 27, 54 Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100 Greatest common factor = 2 42 × 8 = 336 336 + 2 = 338

What is the least common multiple of 4 and 7?

  1. 14

  2. 21

  3. 24

  4. 28

Show answer
Correct Option: D
Explanation:

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28 Multiples of 7 = 7, 14, 21, 28

What is the result obtained when greatest common factor of 80 and 90 is added to least common multiple of 5 and 11?

  1. 42

  2. 48

  3. 50

  4. 65

Show answer
Correct Option: D
Explanation:

Factors of 90 = 1, 2, 3, 5, 6, 9, 10,15, 30, 90 Factor of 80 = 1, 2, 4, 5, 8, 10, 20, 40, 80 Greatest common factor = 10 Multiples of 11 = 11, 22, 33, 44, 55, .. Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, ... Least common multiple = 55 55 + 10 = 65

What is the result obtained when the least common multiple of 11 and 10 is added to the least common multiple of 12 and 10?

  1. 160

  2. 165

  3. 170

  4. 210

Show answer
Correct Option: C
Explanation:

Multiples of 11 = 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110 Least common multiple = 110 Multiples of 12 = 12, 24, 36, 48, 60 Least common multiple of 12 and 10 = 60 110 + 60 = 170

LCM of 4 is ______.

  1. 1

  2. 2

  3. 3

  4. Can't be determined

Show answer
Correct Option: D
Explanation:

We always need at least two numbers to find the LCM.

LCM of 15 and 9 is ______.

  1. 18

  2. 45

  3. 135

  4. 230

Show answer
Correct Option: B
Explanation:

Multiples of 15 = 15, 30, 45, 60 Multiples of 9 = 9, 18, 27, 36, 45, 54 LCM = 45

LCM of 2 and 6 is ____.

  1. 2

  2. 6

  3. 12

  4. 18

Show answer
Correct Option: B
Explanation:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14 Multiples of 6 = 6, 12 LCM of 2 and 6 = 6

HCF of 24 and 16 is ______.

  1. 8

  2. 16

  3. 24

  4. 32

Show answer
Correct Option: A
Explanation:

Factors of 24 = 2 × 2 × 2 × 3 Factors of 16 = 2 × 2 × 2 × 2 HCF of 24 and 16 = 2 × 2 × 2 = 8

LCM of 1 and 2 is ______.

  1. 1

  2. 2

  3. 4

  4. 6

Show answer
Correct Option: B
Explanation:

Multiples of 1 = 1, 2, 3, ... Multiples of 2 = 2, 4, ... LCM of 1 and 2 = 2

HCF of 56 and 40 is _____.

  1. 6

  2. 8

  3. 10

  4. 19

Show answer
Correct Option: B
Explanation:

Factors of 56 = 2 × 2 × 2 × 7 Factors of 40 = 2 × 2 × 2 × 5 HCF of 56 and 40 = 2 × 2 × 2 = 8

What is the highest common factor of 16 and 32?

  1. 2

  2. 3

  3. 4

  4. 16

Show answer
Correct Option: D
Explanation:

Factors of 16 = 2 × 2 × 2 × 2 Factors of 32 = 2 × 2 × 2 × 2 × 2 HCF of 16 and 32 = 2 × 2 × 2 × 2 = 16

LCM of 3 and 4 is ______.

  1. 3

  2. 4

  3. 12

  4. 24

Show answer
Correct Option: C
Explanation:

Multiples of 3 = 3, 6, 9, 12, 15 Multiples of 4 = 4, 8, 12, 16 LCM of 3 and 4 = 12

What is the highest common factor of 15 and 25?

  1. 0

  2. 5

  3. 15

  4. 25

Show answer
Correct Option: B
Explanation:

Factors of 15 = 3 × 5 Factors of 25 = 5 × 5 HCF of 15 and 25 = 5

A number x is obtained when the least common multiple of 6, 18 and 27 takes away the 5th multiple of 7. How many factors does x have?

  1. 5

  2. 4

  3. 3

  4. 2

Show answer
Correct Option: D
Explanation:

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 Multiples of 18 = 18, 36, 54 Multiples of 27 = 27, 54 Least common multiple = 54 Fifth multiple of 5 = 7 × 5 = 35 54 - 35 = 19 so, 19 has 2 factors.

Which of the following options is the highest common factor of 21 and 56?

  1. 1

  2. 3

  3. 7

  4. 9

Show answer
Correct Option: C
Explanation:

Factors of 21 = 3 × 7 Factors of 56 = 2 × 2 × 2 × 7 HCF of 21 and 56 = 7

Which of the following numbers is the highest common factor of 27 and 90?

  1. 3

  2. 6

  3. 9

  4. 18

Show answer
Correct Option: C
Explanation:

Factors of 27 = 3 × 3 × 3 Factors of 9 = 3 × 3 HCF of 27 and 9 = 9

Highest common factor of 39 and 65 is __.

  1. 9

  2. 12

  3. 13

  4. 16

Show answer
Correct Option: C
Explanation:

Factors of 39 = 3 × 13 Factors of 65 = 5 × 13 HCF of 39 and 65 = 13

What is the HCF of 1470 and 220?

  1. 8

  2. 9

  3. 10

  4. 11

Show answer
Correct Option: C
Explanation:

Factors of 1470 = 2 × 5 × 7 × 3 × 7 Factors of 220 = 2 × 2 × 5 × 11 HCF of 1470 and 220 = 10

What is the highest common factor of 14 and 70?

  1. 14

  2. 16

  3. 18

  4. 20

Show answer
Correct Option: A
Explanation:

Factors of 14 = 2 × 7 Factors of 70 = 7 × 2 × 5 HCF = 14

Which of the following numbers is the highest common factor of 51 and 18?

  1. 2

  2. 3

  3. 7

  4. 9

Show answer
Correct Option: B
Explanation:

Factors of 51 = 3 × 17 Factors of 18 = 3 × 2 × 3 HCF of 51 and 81 = 3 

What is the greatest common factor of 2346 and 6435?

  1. 2

  2. 3

  3. 5

  4. 9

Show answer
Correct Option: B
Explanation:

Factors of 2346 = 2 × 3 × 391 Factors of 6435 = 3 × 5 × 3 × 13 × 11 HCF = 3

What is the HCF of 594 and 1265?

  1. 9

  2. 11

  3. 13

  4. 15

Show answer
Correct Option: B
Explanation:

Factors of 594 = 2 × 3 × 3 × 2 × 11 Factors of 1265 = 5 × 23 × 11 HCF of 594 and 1265 = 11

Which of the following sets of numbers will have the highest common factor as 16?

  1. 48, 96, 145

  2. 24, 40, 64

  3. 50, 560, 140

  4. 48, 80, 112

Show answer
Correct Option: D
Explanation:

48, 80, 112 Factors of 48 = 2 x 2 x 2 x 2 x 3 Factors of 80 = 2 × 5 × 2 × 2 × 2 × 5 Factors of 112 = 2 × 2 × 2 × 2 × 7 HCF = 2 × 2 × 2 × 2 = 16

What is the greatest common factor of 2527 and 18228?

  1. 7

  2. 9

  3. 18

  4. 27

Show answer
Correct Option: A
Explanation:

Factors of 2527 = 7 × 19 × 19 Factors of 18228 = 7 × 2 × 2 × 3 × 7 × 31 HCF of 2527 and 18228 = 7

LCM of 18 and 7 is ______.

  1. 18

  2. 104

  3. 126

  4. 128

Show answer
Correct Option: C
Explanation:

Multiples of 18 = 18, 36, 54, 72, 90, 108, 126 Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126 LCM of 18 and 7 = 126

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