Latest UPSC Aptitude Question SOLUTION: Certain 3-digit numbers have the following characteristics: 1. All the three digits are different. 2. The number is divisible by 7. 3. The number on reversing the digits is also di

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(#M40165378) UPSC Logical Reasoning question Logical question Keep an EYE

Certain 3-digit numbers have the following characteristics:
1. All the three digits are different.
2. The number is divisible by 7.
3. The number on reversing the digits is also divisible by 7.
How many such 3-digit numbers are there?
a. 2
b. 4
c. 6
d. 8

Asked In UPSC kakarla saikrishna (5 years ago)

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  (5 years ago)

8
write the numbers that are divisible by 7
then given that three numbers should be different
so strike off those numbers which are equal
do it for one type of series i.e;for two hundred terms the numbers divisible by 7 are 203,210,217,224,231,238,245,252,259,266,273,280,287,295
but according to the given first condition the numbers divisible are
203,210,217,231,238,245,259,287,294.
and another condition given is while reversing the numbers they should be divisible by 7
so by this only 259 can be divisible by 7 by reversing it also
in the way 159, 259,359,459,659,759,859 will be the numbers divisible by 7 with all the conditions sastisfied
the 3-digit numbers divisible are 7

Is this solution Helpfull? Yes (2) | No (5)  

nandu  (5 years ago)

495 and 959 and completes all the rules

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