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Ratio and Proportion
Q. How many 4 digit no can be formed if
1)the no will be an even no
2)dey must be divisible by 4
3)no digit is repeated
Read Solution (Total 12)
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- I think all these parts belong to the same question
like=
How many 4 digit no. can be formed if the no must be divisible by 4 no digit is repeated.
solution:
divisibility for 4= last 2 digit divisible by 4
so,
04,08,20,40,60,80 are last digits with zeroes in it
number of such no's= (8*7*1)*6 = 336
and
without zero are 12,16,24,28,32,36,48,52,56,64,68,72,76,84,92,96 (no repeating digits are allowed)
number of such no's=(7*7*1)*16 = 784
now,
total number of no's which are divisible by 4 = 336+784= 1120 ans... - 11 years agoHelpfull: Yes(18) No(3)
- a no. divisible by 4 is always even
last two digit should be 04,08,12,16,20,...,96 (except 44,88) (total 22)
04,08,20,40,60,80 (6) => 6*(8*7)=336
12,16,24,...,92,96 (16) => 16*(7*7)=784
total number of 4 digits which divisible by 4 = 336+784= 1120
- 11 years agoHelpfull: Yes(13) No(1)
- 1) 9*10*10*5=4500
2) ??????? don't know
3) 9*9*8*7=4536 - 11 years agoHelpfull: Yes(6) No(16)
- answer is 1120 and how-->as you know if a number is divisible by 4 then last two digit of number must be divisible by 4 which can be 04,08,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,00 but and condition is reteatition is not allowed so u have to skip 00,44,88 from above list now as all number which are divisible by four is even number so u need not to think over it. now from above list 6 combinations are those where 0 is available now as repeatition is not allowed so at unit place u can put u can use 8 remaining digit and 10th place u can put any of 7 digit which u havent used 8*7*6(as 6 combinations are dere where 0 is available) in same way for those combination where 0 is not dere u can fill unit place by 7 ways(skip 0 and two which are in use at 100 and 1000 place)*7(except those 3 which u have used at unit 100 and 1000 place) so 8*7*16(combinations)--> so finally 6*8*7+16*7*7=1120
- 11 years agoHelpfull: Yes(6) No(2)
- 1106 is the ans .
- 11 years agoHelpfull: Yes(3) No(2)
- @sugandha sagar
all those belong to the same question - 11 years agoHelpfull: Yes(1) No(0)
- sorry, i thought all 3 ques are different
- 11 years agoHelpfull: Yes(1) No(1)
- solve this problem through options
- 11 years agoHelpfull: Yes(0) No(1)
- this is onlyone question all of the option are its conditions
- 11 years agoHelpfull: Yes(0) No(2)
- getting 1106..(if repetation not allowed)
if 0 is last digit...7*8*4=224
if 2 is last digit...7*7*5=245
if 4 is last digit...7*7*4=196
if 6 is last digit...7*7*5=245
if 8 is last digit...7*7*4=196
total=1106 - 11 years agoHelpfull: Yes(0) No(1)
- 1)9*10*10*5
2)9*10*5*5
3)9*9*8*7 - 10 years agoHelpfull: Yes(0) No(0)
- 6*8*7+16*7*7=1120
- 10 years agoHelpfull: Yes(0) No(0)
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