Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.
  • a)
    99921
  • b)
    99931
  • c)
    99941
  • d)
    99951
Correct answer is option 'C'. Can you explain this answer?

Related Test

User2219575
Jan 19, 2020
Hey see
Lcm of 8 and 9 is 72

greatest 5 digit number is 99999
divide it by 72.
u get 63 as remainder

now subtract 63 from 99999.
99936 it is divisible by 8 and 9 now add 5

it is 99941 so it give remainder 5

Wahid Khan
Jul 18, 2020
The greatest number will be multiple of LCM (8, 9)
LCM of 8 and 9 = 72
On verification we find that 99941 when divided by 72 leaves remainder 5.

Rahul Kumar
Feb 18, 2022
Greatest 5-Digit number = 99999
LCM of 8 and 9,
8 = 2 × 2 × 2
9 = 3 × 3
LCM = 2 × 2 × 2 × 3 × 3 = 72
Now, dividing 99999 by 72, we get
Quotient = 1388
Remainder = 63
So, the greatest 5-digit number divisible by 8 and 9 = 99999 - 63 = 99936
Required number = 99936 + 5 = 99941

Options c is correct 99941
Options c is correct 99941