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Playing With Numbers - 10

Description: Playing with Numbers - 10
Number of Questions: 25
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Tags: Playing with Numbers - 10 Playing with Numbers L.C.M. and H.C.F. Reasoning
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Find the L.C.M. of 12 and 18.

  1. 12

  2. 18

  3. 36

  4. 42

Show answer
Correct Option: C
Explanation:

Multiples of 12 = 12, 24, 36, 48, 60 Multiples of 18 = 18, 36, 54 LCM of 12 & 18 = 36

Find the smallest number which can exactly be divided by 6, 8, 12.

  1. 16

  2. 24

  3. 84

  4. 169

Show answer
Correct Option: B
Explanation:

Multiple of 6 - 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Multiple of 8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 Multiple of 12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 Common multiples are 24, 48 24 is the least common multiple of 6, 8 and 12 

Find the H.C.F. of 12 and 18.

  1. 2

  2. 3

  3. 4

  4. 6

Show answer
Correct Option: D
Explanation:

Factors of 12 = 2 x 2 x 3 Factors of 18 = 2 x 3 x 3 HCF of 12 & 18 = 2 x 3 = 6

Find the H.C.F. of 36 and 9.

  1. 2

  2. 3

  3. 4

  4. 9

Show answer
Correct Option: D
Explanation:

Factors of 36 = 2 x 2 x 3 x 3 Factors of 9 = 3 x 3 HCF of 36 & 9 = 3 x 3 = 9

Find the L.C.M. of 25 and 10.

  1. 20

  2. 30

  3. 40

  4. 50

Show answer
Correct Option: D
Explanation:

Multiples of 25 = 25, 50, 75  Multiples of 10 = 10, 20, 30, 40, 50, 60 LCM of 25 and 10 = 50

Which of the following numbers has 8 as the H.C.F.?

  1. 84, 21

  2. 90, 20

  3. 92,18

  4. 96, 40

Show answer
Correct Option: D
Explanation:

Factors of 96 = 2 x 2 x 3 x 2 x 2 x 2 Factors of 40 = 2 x 2 x 2 x 5 HCF of 96 & 40 = 2 x 2 x 2 = 8

Which of the following numbers has 3 as the H.C.F.?

  1. 166, 228

  2. 153, 222

  3. 148, 192

  4. 114, 124

Show answer
Correct Option: B
Explanation:

153 & 222 Factors of 153 = 3 x 3 x 17 Factors of 222 = 2 x 3 x 37 HCF of 153 & 222 = 3

Find the L.C.M. of 23 and 100.

  1. 2300

  2. 2345

  3. 2350

  4. 2500

Show answer
Correct Option: A
Explanation:

Factors of 23 = 23 x 1 Factors of 100 = 2 x 2 x 5 x 5 LCM of 23 and 100 = 2 x 2 x 5 x 5 x 23 = 2300

Find the number which is twice the L.C.M. of 26 and 38.

  1. 980

  2. 984

  3. 986

  4. 988

Show answer
Correct Option: D
Explanation:

Factors of 26 = 2 x 13 Factors of 38 = 2 x 19 LCM = 2 x 13 x 19 = 494 Now 494 x 2 = 988

Find the square of H.C.F. of 98 and 14.

  1. 190

  2. 196

  3. 225

  4. 289

Show answer
Correct Option: B
Explanation:

Factors of 98 = 2 x 7 x 7 Factors of 14 = 2 x 7 HCF of 98 & 14 = 2 x 7 = 14 (14)2 = 196

What is the product of L.C.M. and H.C.F. of 39 and 26?

  1. 1012

  2. 1014

  3. 1016

  4. 1018

Show answer
Correct Option: B
Explanation:

Factors of 39 = 3 x 13 Factors of 26 = 2 x 13 LCM of 39 = 2 x 3 x 13 = 78 HCF of 39 & 26 = 13 Product of LCM and HCF = 13 x 78 = 1014

Find the L.C.M of 15 and 25.

  1. 15

  2. 30

  3. 60

  4. 75

Show answer
Correct Option: D
Explanation:

Multiples of 15 = 15, 30, 45, 60, 75 Multiples of 25 = 25, 50, 75, 100 75 is the L. C. M. of 15 and 25

Find the H.C.F. of 24 and 96.

  1. 8

  2. 12

  3. 24

  4. 36

Show answer
Correct Option: C
Explanation:

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24 Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 HCF of 24 and 96 is 24

Find the L.C.M. of 8 and 12.

  1. 8

  2. 12

  3. 16

  4. 24

Show answer
Correct Option: D
Explanation:

Multiples of 8 = 8, 16, 24, 32, 40 Multiples of 12 = 12, 24, 36, 48, 60 24 is the LCM of 8 and 12.

Find the H.C.F. of 20 and 30.

  1. 2

  2. 3

  3. 10

  4. 20

Show answer
Correct Option: C
Explanation:

Factors of 20 = 1, 2, 4, 5, 10, 20 Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 H.C.F. = 10

Find the L.C.M of 8, 12 and 16.

  1. 24

  2. 36

  3. 40

  4. 48

Show answer
Correct Option: D
Explanation:

Multiples of 8 = 8, 16, 24, 32, 40, 48 Multiples of 12 = 12, 24, 36, 48, 60 Multiples of 16 = 16, 32, 48 LCM of 8, 12, 16 is 48.

Find the L.C.M of 4, 7 and 21.

  1. 84

  2. 63

  3. 42

  4. 21

Show answer
Correct Option: A
Explanation:

4 = 22 7 = 71 21 = 3 x 7 LCM = 22 x 7 x 3 = 84

Find the H.C.F of 42, 98 and 112.

  1. 21

  2. 14

  3. 7

  4. 2

Show answer
Correct Option: B
Explanation:

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42 Factors of 98 = 1, 2, 7, 14, 49, 98 Factors of 112 = 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 HCF of 42, 98, 112 is 14

Find the H.C.F of 20, 24 and 30.

  1. 2

  2. 4

  3. 6

  4. 10

Show answer
Correct Option: A
Explanation:

20 = 22 x 5 24 = 23 x 3 30 = 2 x 3 x 5 HCF = 2

Find the H.C.F of 24, 72 and 120.

  1. 24

  2. 12

  3. 8

  4. 4

Show answer
Correct Option: A
Explanation:

24 = 23 x 3 72 = 23 x 32 120 = 23 x 3 x 5 HCF = 23 x 3 = 24

Find the L.C.M of 20 and 60.

  1. 60

  2. 80

  3. 100

  4. 120

Show answer
Correct Option: A
Explanation:

20 = 22 x 5 60 = 22 x 5 x 3 = 60 LCM = 22 x 5 x 3 = 60

Find the H.C.F of 72, 60 and 108.

  1. 10

  2. 12

  3. 14

  4. 16

Show answer
Correct Option: B
Explanation:

72 = 23 x 32 60 = 22 x 3 x 5 108 = 22 x 33 HCF = 22 x 3 = 12

Find the L.C.M of 100 and 150.

  1. 300

  2. 250

  3. 200

  4. 150

Show answer
Correct Option: A
Explanation:

100 = 22 x 52 150 = 2 x 3 x 52 LCM = 22 x 3 x 52 = 300

Find the L.C.M of 12, 16 and 24.

  1. 24

  2. 36

  3. 48

  4. 60

Show answer
Correct Option: C
Explanation:

12 = 22 x 3 16 = 24 24 = 23 x 3 LCM = 24 x 3 = 48

Find the L.C.M and H.C.F of 15 and 20.

  1. 60, 5

  2. 60, 4

  3. 5, 60

  4. 4, 60

Show answer
Correct Option: A
Explanation:

15 = 3 x 5 20 = 22 x 5 LCM = 22 x 3 x 5 = 60

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