Latest TCS Aptitude Question SOLUTION: how many integers between 456 and 654 have no digits other than 4,5,6. a) 15 b)17 c)14 d)12

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(#M40028784) TCS Numerical Ability question Keep an EYE

how many integers between 456 and 654 have no digits other than 4,5,6.

a) 15
b)17
c)14
d)12

Asked In TCS Anshul Kumar (10 years ago)

Unsolved Read Solution (10)

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amit sen  (10 years ago)

first we consider when 4 is on hundreth position(456,465,466) so here 3 ways
now,when 5 is on hundreth position,tenth position is filled by 3 ways(4,5,6) & unit position is also filled by 3 ways(4,5,6), so total 3*3=9ways
when 6 is on hundreth position (644,645,646,654)
so,total integer=3+9+4=15
ans is 15

Is this solution Helpfull? Yes (29) | No (5)  

Tarun Singh  (10 years ago)

I think its 15.

For every 2nd digit (4 or 5 or 6) we have 3 options for 3rd digit.
(464,465,466)
(544,545,546)(554,555,556)(564,565,566)
(644,645,646)

Is this solution Helpfull? Yes (13) | No   

ddev  (10 years ago)

17 will be the answer

Is this solution Helpfull? Yes (7) | No (2)  

Anshul Kumar  (10 years ago)

6 is not the option....
correct ans is 15, bt dnt know how it came

Is this solution Helpfull? Yes (5) | No   

ronak roy  (10 years ago)

if we put 4 at hundred position then(455,456,465,466) 4 ways
if we put 5 as hundred then tenth position (2,3,4) 3 ways and unit is also 3 ways
so total 3*3 ways
if we put 6 as hundred then
(644,646,654,655) 4 ways
hence answer is
4+9+4=17
ans=17

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

Aishwarya  (10 years ago)

4 at hundreth position:tens pos by 5/6(1 way), unit pos by 6 only = 1*2*1 = 2 ways
5 at hundreth pos: tens pos by 4/5/6(3ways) and unit by 3 ways =9 ways
6th at hundreth: tens by 5/4 (2 ways), unit by 4/6(2 ways) =4 ways
total integers possible = 2+9+4 = 15 ans

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Shashank Salaj  (10 years ago)

integers with no digits other than 4,5,6 are just the various arrangements of 456
= 3!
=6(Ans)

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pusparaj Singh  (10 years ago)

15
4_ _ 3 ways
5_ _ 3*3=9 ways
6_ _ 3 ways
so total 15 ways

Is this solution Helpfull? Yes | No (2)  

Ushashi Das  (10 years ago)

3*3*3-5(for 1st 5 combination those r not taken)-5(for last 5 combination those r not taken)=17 (b) ans:

Is this solution Helpfull? Yes | No (1)  

vijaylaxmi  (9 years ago)

total =17
those are 456,464,465,466,544,545,546,554,555,556,564,565,566,644,645,646,654(if 456 and 654 included)
otherwise 15.

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