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?

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

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.

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