Latest Elitmus Aptitude Question SOLUTION: What is the sum of all 3 digit nos formed by {1,3,5,7,9} with nos not repeated

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(#M40153705) ELITMUS Numerical Ability question NumberSystem Keep an EYE

What is the sum of all 3 digit nos formed by {1,3,5,7,9} with nos not repeated

Asked In Elitmus Malaya Prasad Lenka (8 years ago)

Unsolved Read Solution (7)

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pranjal ranka  (8 years ago)

Total nos are 5*4*3=60
Now smallest no. formed using (1,3,5,7,9) is 135 & largest no is 975.
Now sum of series when first and last no.is known = n/2(a+l)
n=no.of terms
a=first term
l=last term
So here we have sum = 60/2(135+975)
=33300

Is this solution Helpfull? Yes (15) | No   

Shubham Raj  (8 years ago)

sum of all digit is= 111(three digit) * (ways) * (sum of all digit)
=111 * 12 * (1+3+5+7+9)
=111 * 12 * 25
=33300

Is this solution Helpfull? Yes (13) | No   

Kaustubh Mandlekar  (8 years ago)

3 digits so if last digit is kept constant then remaining two number can be arranged in 4p2 ways , so 4p2 number of ways for one constant number , total numbers is 5 {1,3,5,7,9} so total arrangements will be 5*4p2 ,since one number will be repeated 4p2 times in each row addition of each row will be 9* 12+7*12+5*12+3*12+1*12=300, so each row will be having 300 sum ,total 3 rows because 3 digit number , so total sum is 33300

Is this solution Helpfull? Yes (3) | No (1)  

Shamik Bhattacharya  (8 years ago)

Ans will be : 111 ( 3 digits ) * (1+3+5+7+9) * 12 (no of time digit repeats )
= 111 * 25 * 12
=33300

Is this solution Helpfull? Yes (2) | No (2)  

Nirmalrajsanjeev  (8 years ago)

total number of 3 digits from the given numbers 1,3,5,7,9=5*4*3=60 numbers
if first digit is 1 then three digit number is like{135,137,139,153,157,159,173,175,179,193,195,197}these are 12 numbers whose first digit 1 as like, numbers start with 3,5,7,9 are 12
sum=1+3+5+7+9=25
12*100*25+12*10*25+1*12*25
=30000+3000+300
=33300

Is this solution Helpfull? Yes (2) | No   

Rakesh  (8 years ago)

[(1+3+5)+(3+5+7)+(5+7+9)+(7+9+1)+(9+1+3)]*111*2!
=75*111*2
=16650

Is this solution Helpfull? Yes (1) | No (3)  

Ram Aasre Lodhi  (8 years ago)

33300
You can do it by using permutations

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