Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        In the decimal system of numeration the number of 6-digit numbers in which the sum of the digits is divisible by 5 is (A) 210(B) 84(C) 126(D) none `
3 years ago

```							The first digit cannot start with 0,So any of the remaining 9 digits can fill the first place. So no. of ways to fill first digit =9,The next four places can be filled with any of the digits. So no. of ways to fill next 4 digits = 10 each. For four digits it is 104.
```
2 years ago
```							The options given by you are wrong. The options are a)180000 b)540000 c)500000 and d)none.The solution isLet the sum ot`any t`ive digits be N. Now N can be any number from 1 to 45. In each case the remaining digit can be chosen in two particular ways only so as sum of digits is divisible by 5. {e.g. ir N-42. Then remaining digit can be 3 or 8: if N=23. Then remaining digit is 2 or 7;... Etc Hence total possible number of such numbers is 9 × 104 × 2 I.e. 180000.
```
2 years ago
```							Now there are 90,000 5 digit #s  Each such # can be made divisible by 5 by adding the sixth digit in 2 ways, eg  • if the 5 digit # leaves remainder 0 when divided by 5,  the sixth digit has to be 0 or 5  • if the remainder ........ is 1, the sixth digit has to be 4 or 9  and so on & so forth  Thus answer = 90,000 *2 = 180,000
```
2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions