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
Menu
Grade: 11
        
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

Answers : (3)

Vikas TU
11142 Points
							
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
Varun Patkar
12 Points
							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
Varun Patkar
12 Points
							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 ?
Answer & Earn Cool Goodies


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


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details