Latest TCS Aptitude Question SOLUTION: Consider the function M(n) defined on positive integers by M(n)=minimum of the digits of n; For example, M(71) = min (7, 1) = 1. The sum M(1) + M(2) + ... + M(90) equals option a)

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40026337) TCS question Keep an EYE

Consider the function M(n) defined on positive integers by M(n)=minimum of the digits of n;
For example, M(71) = min (7, 1) = 1.
The sum M(1) + M(2) + ... + M(90) equals
option
a) 284
b) 313
c) 302
d) 285
e) 286

Asked In TCS (10 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (6)   (1) Submit Your Solution

Read Solution (9) :

swati singh  (10 years ago)

min digit from 1 to 10 is 1+2+3+..+9+0
min digit from 11 to 20 is 1+1+1+1... 9times +0
min digit from 21 to 30 is 1+(2+2...8times)+0
from 31 to 40 its 1+2+(3+3... 7 times)+0
and so on....
solve
the answr is 285

Is this solution Helpfull? Yes (50) | No (5)  

pawanpreet  (10 years ago)

285 is the ans....

Is this solution Helpfull? Yes (9) | No (1)  

krishnamurti  (10 years ago)

286 is ans...

Is this solution Helpfull? Yes (4) | No (5)  

abhishek mishra  (10 years ago)

285 will be the answe..

Is this solution Helpfull? Yes (4) | No (2)  

Aastutee sahu  (10 years ago)

287 is the sum when u add all the numbers.

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

naveen garg  (10 years ago)

e) 286 is soln

Is this solution Helpfull? Yes (1) | No   

monalisa ghosh  (10 years ago)

@pawanpreet ...plz explain how?

Is this solution Helpfull? Yes | No (1)  

Rahul Deep  (10 years ago)

for 1-9...sum wil be 45.
for m(10),m(20),....m(90)...sum=0
for m(11-19)=9*1
for m(21)=1 nd m(22-29)=8*2
for m(31-32)=1+2 nd m(33-39)=(8-1)*tens place term
"
"
"
for m(81-87)=21+7=28 nd m(88-89)=2*8=16
adding all...ans=285

Is this solution Helpfull? Yes | No   

Sohini Nandi  (10 years ago)

I guess this is a dummy question because to get 1 as min u have to consider 1,11,12,13,14..19 and also 21,31,41....upto 81
thus u can get 17*1 for 1
15*2 for 2
13*3 for 3
11*4 for 4
9*5 for 5
7*6 for 6
5*7 for 7
3*8 for 8 (for 88 and 89)
1*9 for 9 (only when 9 will b considered)
so total u can get 277 which is not in option

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.