Latest TCS Aptitude Question SOLUTION: given the digits 1,3,6,9 find the probability that a 3 digit number formed by using them with no digit repeated is divisible by 4 a)1/12 b)1/4 c)1/6 d)none

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(#M40154815) TCS Numerical Ability question Keep an EYE

given the digits 1,3,6,9 find the probability that a 3 digit number formed by using them with no digit repeated is divisible by 4 a)1/12 b)1/4 c)1/6 d)none

Asked In TCS Rik (8 years ago)

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palak maheshwari  (8 years ago)

ans will be 1/4

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aspirant  (8 years ago)

Sorry 6/24=1/4

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aspirant  (8 years ago)

the numbers can b 16,36,96,so unit digit can be filled in 1 way wheareas 10's place can be filled in 3 ways and hundred's place in 2 ways,so 2x3x1/4!=6/24=1/6

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aditya vasudeva  (8 years ago)

316,916,136,936,196,396 are the six numbers that can be formed divisible by 4 ... total no. of numbers that can be formed are 24.... 6/24 = 1/4

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Sonu kumar  (8 years ago)

divisibility rule for four is last 2 digit must be divisible by 4. so last 2 digit must be 16,36,96.
(1) -- -- 1 6,(2) -- -- 3 6 , (3) -- -- 9 6
mow you can put in 1 st case 9,3 yoy have 2*1 choice, similar in 2nd and 3rd case ..so total number of choice is =6
and total no. odf case = 4!=24
p(divisible 4)= 6/24=1/4

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SatB  (8 years ago)

For divisibility by 4, last 2 digits must be divisible by 4. The last 2 digits can be either 16 or 36.
For units place, only 6. So no. of ways = 1
For tens place, 1 or 3, so number of ways = 2
For hundreds place, number of ways = 2 (since repetition not allowed)
So total no. of ways = 1x2x2= 4
Total possibilities = 4x3x2= 24
reqd. probability = 4/24= 1/6

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Sreejith S  (8 years ago)

For a number to be divisible by 4 the unit's and tenths places together must be divisible by 4.
So the last 2 digits must be either 16 or 36 or 96. And repetition is not allowed so, the 100th place can be filled using other 2 no.s. So the answer is 3x2/4!

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Binod Kumar  (8 years ago)

sample space = 4*3*2= 24 ................................... using the concept of P&C.
for no to be divisible by 4 last digit must be 6 (in this case only)
total such no =6.................................. (6=3*2*1)
therefore prob = 6/24 = 1/4.

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