HCL HCF and LCM Quiz-1

Solution

Multiplication of p and q = LCM x HCF = 6 x 3 = 18

Solution
Multiplication of 2 numbers = LCM x HCF
=>625 = LCM x 5
=>LCM = 625/5 = 125

Solution
Two numbers are:
5 x 12 = 60
5 x 16 = 80
The larger number is 80

Solution
Let, the numbers be 3p, 5p.
HCF =23
Numbers are:
23 x 3 = 69
23 x 5 = 115

Solution

Let the numbers are 2y,5y,y

So, LCM = 10y

Now, 10y = 200

    => y = 200/10 = 20

Hence, highest number = 5y = 5 x 20 = 100

Solution
The largest number = (60-12), (90-60), and (90-12)
= H.C.F = 48, 30, and 78
48 factors are 2 x 2 x 2 x 3
30 factors are 2 x 3 x 5
78 factors are 2 x 3 x 13
H.C.F is 2 x 3=6

Solution

HCF x LCM = Product of 2 numbers

=>12 x 390 = 13 x Another number

=>Another number = (12 x 390)/13 = 360

Solution
The ratio is = 2:1:5
HCF is = 35
Now, the numbers are:
2 x 35 = 70
1 x 35 = 35
5 x 35 = 175

Solution
Let the numbers aer 3y, y.
LCM = 3y
Now, 3y = 30
=>y = 10
Hence, first number = 3 x 10 = 30
Second number = 10
Difference = 30 - 10 = 20

Solution
LCM of 3, 6, 15, 21, and 33 = 2310
Now, 7.7 min = 7.7 x 60 = 462 sec
No of times the alarm rang together in 7.7 minutes = 2310/462 = 5