SSC
Government Jobs Exams
Numerical Ability
LCM and HCF
Find the greatest number by which 78, 153 and 228 will be divided so that it leaves the same remainder in every case?
(A) 25
(B) 75
(C) 77
(D) 76
Read Solution (Total 5)
-
- by verification it is 75
- 7 years agoHelpfull: Yes(0) No(0)
- by checking all it wll be : 75
- 7 years agoHelpfull: Yes(0) No(0)
- 75 it is a question of hcf
let the no be k
so requred no is 78-k;153-k;228-k;
we know that difference of no is also give the hcf
so
153-k-(78-k)=75
228-k-(153-k)=75
228-k-(153-k)=150
using these three no we find hcfas 75 - 7 years agoHelpfull: Yes(0) No(0)
- go for hit & trial from options as here if you find hcf it will be 3
now the greatest number in option is 75 you can easily see that by dividing 78/75=3 & 153/75=3 now do 225/75=3 so it is 75 - 7 years agoHelpfull: Yes(0) No(0)
- answer is 75
- 7 years agoHelpfull: Yes(0) No(0)
SSC Other Question