5. The HCF and LCM of two numbers are 25 and 5525 respectively. If one of
the numbers is 325, find the other number.
6. Find the least number which, when increased by 3, is divisible by 36, 40
and 64.
7. Find the greatest 4-digit number which is exactly divisible by 55, 88,110.
8. Find the minimum length of a rope which can be cut into whole number of
pieces of lengths 36 cm, 48 cm and 60 cm.
Answers
Step-by-step explanation:
H.CF×LCM
5).2nd number=------------------------
1st number
=25×5525
----------------------=425
6(.
the lowest number divisible by 36 and 40 will be their LCM
so
36=2×2×3×3
40=2×2×2×5
LCM=2³×3²×5=360
the answer be 360+3=363
7).
the number divisible by55,88,110 will their LCM
so
55=5×11
88=2×2×2×11
110=2×5×11
LCM=2³×5×11=440
greatest 4 digit number 9999
it should be divisible by 440
let's check it
440)9999(22
880
---------------------
1199
880
--------------
310
we should substract 310 to make it divisible
so answer be 9999-310=9689
8).
we have to find the lenght of rope which can be cut means which is divisible by 36,48,60
so we have to find LCM of these
so
36=2×2×3×3
48=2×2×2×2×3
60=2×2×3×5
LCM=2⁴×3×5=240cm
Step-by-step explanation:
(5)HCF=25 and LCM=5525
one number = 325
other number=5525×25/325
therefore the other number=425