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Playing With Numbers - 26

Description: Playing with Numbers - 26
Number of Questions: 25
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Tags: Playing with Numbers - 26 Playing with Numbers L.C.M. and H.C.F.
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Neon has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each flowers of each colour in each bouquet. What is the greatest number of bouquets she can make?

  1. 4

  2. 8

  3. 16

  4. 24

Show answer
Correct Option: B
Explanation:

16, 24 Factor of 16 = 2 × 2 × 2 × 2 Factor of 24 = 2 × 2 × 2 × 3 HCF = 8

What is the HCF of 375, 625 and 875?

  1. 25

  2. 100

  3. 125

  4. 126

Show answer
Correct Option: C
Explanation:

Factors of 375 = 5 × 5 × 5 × 3 Factors of 625 = 5 × 5 × 5 × 5 Factor of 875 = 5 × 5 × 5 × 7 HCF = 5 × 5 × 5 = 125

Hazel has 2 pieces of cloth. One is 70 inches wide and other is 90 inches wide. She wants to cut both the pieces into the strips of equal width as wide as possible. How wide should she cut the strips?

  1. 10 inches

  2. 15 inches

  3. 20 inches

  4. 25 inches

Show answer
Correct Option: A

What is the LCM of 54 and 78?

  1. 542

  2. 702

  3. 784

  4. 798

Show answer
Correct Option: B
Explanation:

54, 78 Factors of 54 = 2 × 3 × 3 × 3 Factors of 78 = 2 × 3 × 13 LCM = 2 × 3 × 3 × 3 × 13 = 702

What is the HCF of 12 , 15 and 24?

  1. 1

  2. 2

  3. 3

  4. 6

Show answer
Correct Option: C
Explanation:

12, 15, 24 Factors of 12 = 2 × 2 × 3 Factors of 24 = 2 × 2 × 2 × 3 Factors of 15 = 3 x 5 HCF = 3

A company gives a coupon of £100 for every 100th caller and 40th caller is given a free concert ticket. How many callers must get through before one of them receives both a coupon as well as concert ticket?

  1. 100

  2. 150

  3. 200

  4. 250

Show answer
Correct Option: C

Two bikers are riding in a circular path. The first rider completes a round in 12 minutes and the second rider completes a round in 16 minutes. If they both started at the same place and move in same direction, after how many minutes will they again meet at starting point?

  1. 24 min

  2. 48 min

  3. 60 min

  4. 66 min

Show answer
Correct Option: B

Newport mall has a painting exhibition on every 7th day. Bale view mall has a painting exhibition on every 9th day. If they have an exhibition today then after that on which of the following days will both malls have a painting exhibition?

  1. On the 15th day

  2. On the 20th day

  3. On the 60th day

  4. On the 63rd day

Show answer
Correct Option: D
Explanation:

7, 9 LCM of 7 and 9 = 7 × 9 = 63

Sally has 5 inches pieces of toy train and Chloe has 7 inches pieces of train track. How much of each piece would each child need to build tracks that are equal in length?

  1. 30 inches

  2. 32 inches

  3. 34 inches

  4. 35 inches

Show answer
Correct Option: D

David exercises every 11th day and Patrick exercises after every 5th day. If they exercise together today then on which day will they exercise together again?

  1. 11th day

  2. 33rd day

  3. 44th day

  4. 55th day

Show answer
Correct Option: D

Which of the following options is the lowest common multiple of 7 and 12?

  1. 42

  2. 56

  3. 60

  4. 84

Show answer
Correct Option: D
Explanation:

Multiples of 7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 Common multiples of 7 and 12 = 84 Lowest common multiple of 7 and 12 is 84.

Jamie is planting 55 apple trees and 22 peach trees. Jamie wants the same number and types of trees per row. What is the maximum number of trees that she can plant per row?

  1. 9

  2. 10

  3. 11

  4. 12

Show answer
Correct Option: C

What is the HCF of 74 and 84?

  1. 2

  2. 4

  3. 6

  4. 8

Show answer
Correct Option: A
Explanation:

Factors of 74 = 1, 2, 37, 74 Factors of 84 = 1, 84, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 Common factor = 1, 2 Highest common factor of 74 and 84 is 2.

What is the LCM of 8 and 14?

  1. 42

  2. 56

  3. 72

  4. 84

Show answer
Correct Option: B
Explanation:

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 Multiples of 14 = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154 Lowest common multiple is 56.

What is the LCM of 14 and 18?

  1. 72

  2. 86

  3. 94

  4. 126

Show answer
Correct Option: D
Explanation:

Multiple of 14 = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140 Multiples of 18 = 18, 36, 54, 90, 108, 126, 144, 162, 180 Lowest common multiple of 14 and 18 = 126

What is the HCF of 240 and 196?

  1. 24

  2. 16

  3. 4

  4. 2

Show answer
Correct Option: C
Explanation:

Factors of 240 = 1, 2, 3, 4, 6, 8, 10, 12, 15, 16, 20, 30, 24, 40, 60, 80, 120, 240, 5, 48 Factors of 196 = 1, 2, 4, 7, 14, 28, 49, 88, 196 Common factors = 1, 2, 4 HCF of 240 and 196 = 4

What is the HCF of 120 and 160?

  1. 10

  2. 20

  3. 40

  4. 80

Show answer
Correct Option: C
Explanation:

Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 Factors of 160 = 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 Common factor = 1, 2, 3, 5, 8, 10, 20, 40 HCFof 120 and 160 is 40.

What is the LCM of 19 and 21?

  1. 284

  2. 297

  3. 357

  4. 399

Show answer
Correct Option: D
Explanation:

Prime Factors of 19 = 1 x 19 Prime Factors of 21 = 3 x 7 LCM of 19 and 21 = 19 x 3 x 7 = 399

What is the HCF of 156 and 96?

  1. 8

  2. 10

  3. 12

  4. 14

Show answer
Correct Option: C
Explanation:

Factors of 156 = 1, 2, 3, 4, 6, 12, 13, 36, 39, 53, 78, 156 Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 Common factors = 1, 2, 3, 4, 6, 12 Highest common factors of 156 and 96 is 12.

What is the highest number that completely goes into 144 and 164?

  1. 24

  2. 16

  3. 8

  4. 4

Show answer
Correct Option: D
Explanation:

Factors of 144 = 1, 2, 3, 4, 6, 9, 12, 16, 18, 24, 36, 48, 72, 144 Factors of 164 = 1, 2, 4, 41, 82, 164 Common factors = 1, 2, 4 HCF = 4

What is the LCM of 16 and 22?

  1. 176

  2. 164

  3. 148

  4. 124

Show answer
Correct Option: A
Explanation:

Prime Factors of 16 = 2 x 2 x 2 x 2 Prime Factors of 22 = 2 x 11 Lowest common multiple = 24 x 11 = 176

What is the lowest common multiple of 23 and 26?

  1. 487

  2. 543

  3. 598

  4. 613

Show answer
Correct Option: C
Explanation:

Prime Factors of 23 = 23 Prime Factors of 26 = 2 x 13 LCM of 23 and 26 = 2 x 13 x 23 = 598

What is the HCF of 96 and 118?

  1. 1

  2. 2

  3. 4

  4. 6

Show answer
Correct Option: B
Explanation:

Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 Factors of 118 = 1, 2, 59, 118 Common factors = 1 and 2 HCF of 96 and 118 = 2

What is the highest common factor of 230 and 148?

  1. 2

  2. 4

  3. 8

  4. 16

Show answer
Correct Option: A
Explanation:

Factors of 230 = 1, 2, 5, 10, 23, 46, 115, 230 Factors of 148 = 1, 2, 4, 37, 74, 148 Common factors of 230 and 148 are 1, 2. HCF of 230 and 148 is 2.

What is the LCM of 6 and 9?

  1. 6

  2. 12

  3. 18

  4. 36

Show answer
Correct Option: C
Explanation:

Multiples of 6 are 6, 12, 18, 24, 36, 42, 48, 54, 60.... Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90....... Common multiples = 18, 36, 54 LCM of 6 and 9 is 18.

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