NTT Data LCM and HCF Quiz -1

\text{Another Number}  = \frac{\text{Product of LCM and HCF }}{\text{First Number}}

\text{Another Number}  = \frac{4\times 48}{\text{16}} = 12

 

largest number that can exactly divide 52 , 72 and 70 is HCF of 52 , 70 and 72

52 = 2 x 2 x 13

70 = 2 x 5 x 7

72 = 2 x 2 x 2 x 3 x 3

HCF = 2

24 = 2 x 2 x 2 x 3

42 = 2 x 3 x 7

54 = 2 x 3 x 3 x 3

72 = 2 x 2 x 2 x 3 x 3

LCM = 2 x 2 x 2 x 3 x 3 x 3 x 7 = 1512

 

25 =  5 x 5

45 =  3 x 3 x 5

200 =  2 x 2 x 2 x 5 x 5

HCF =  5

10 = 2 x 5

20 = 2 x 2 x 5

25 = 5 x 5

50 = 2 x 5 x 5

LCM = 2 x 2 x 5 x 5 = 100 mins = 1 hours 40 minutes

After 9:30 in the Evening they will ring 11:10

LCM  = \frac{\text{Product of two numbers}}{\text{HCF}}

LCM  = \frac{3737}{37} = 101

LCM = 101

12 = 2 x 2 x 3

26 = 2 x13

32 = 2 x 2 x 2 x 2 x 2

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 13 = 1248 which is 4 - digit number also

LCM  = \frac{\text{Product of two numbers}}{\text{HCF}}

2 = 2

4 = 2 x2

6 = 2x 3

8 = 2 x 2 x 2

12 = 2x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Number of times do they ring together  = \frac{48}{24} = 2

Let HCF = x

Numbers = 2x: 3x :4x

LCM = 12x

According to question

12x = 120

X = 10

HCF = 10