elitmus
Exam
Numerical Ability
Algebra
Which is the greatest five digit number exactly divisible by 279?
(1) 99603 (2) 99882
(3) 99550
Read Solution (Total 10)
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- firstly devide largest 5 digit no. i.e. 99999 by 279 which gives 117 as a reminder
99999%279=117 then
99999-117=99882 - 10 years agoHelpfull: Yes(22) No(0)
- ans is 2)99882
d no divisible by 3 is also divisible by 279
coz 279=2+7+9=18 is divisible by 3 - 10 years agoHelpfull: Yes(5) No(4)
- Ans 2>99882
First break the divisor in form of 3*3*31
now u can see That 99882 is divisible by 3 as 9+9+8+8+2=36 is divisible by 3,
and 99882 is also divisible by 31 hence will be divisible by 279. - 10 years agoHelpfull: Yes(2) No(2)
- option (1) and (2) both are divisible by 279
- 10 years agoHelpfull: Yes(2) No(1)
- 2) 99882
279 is divisible by 3..
hence 99882 is divisible by three...is answer - 10 years agoHelpfull: Yes(2) No(2)
- 279=9*31 first check divisibility by 9 for which addition of the digits should be divisible by 9
9+9+8+8+2=36 is divisible by 9 so ans is (2). - 10 years agoHelpfull: Yes(1) No(2)
- option 1 and 2 both are divisible by 5 but as they asked greatest ans is 99882
- 10 years agoHelpfull: Yes(1) No(1)
- 279 is divisible by 3 itself.
so must be divisible by 3 firstly.
Implies, option 3 is rejected,
now option 2 and 1 remaining, divide it by 31 which is possible in case of option 1
Ans. option 1
- 9 years agoHelpfull: Yes(0) No(0)
- there two option a and b are answer because both are divide by
- 8 years agoHelpfull: Yes(0) No(0)
- Let largest 5 digit no. i.e. 99999 .
Divide it by 279 which will give 117 as a reminder.
99999%279=117
then
99999-117=99882 ans B - 2 years agoHelpfull: Yes(0) No(0)
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