A 3 digit number is such that it's unit digit is equal to
the product of the other two digits which are prime. Also,
the difference between it's reverse and itself is 396.

What is the sum of the three digits?

Answers were Sorted based on User's Feedback



A 3 digit number is such that it's unit digit is equal to the product of the other two digits ..

Answer / guest

The required number is 236 and the sum is 11.

It is given that the first two digits of the required number
are prime numbers i.e. 2, 3, 5 or 7. Note that 1 is neither
prime nor composite. Also, the third digit is the
multiplication of the first two digits. Thus, first two
digits must be either 2 or 3 i.e. 22, 23, 32 or 33 which
means that there are four possible numbers - 224, 236, 326
and 339.

Now, it is also given that - the difference between it's
reverse and itself is 396. Only 236 satisfies this
condition. Hence, the sum of the three digits is 11.

Is This Answer Correct ?    14 Yes 0 No

A 3 digit number is such that it's unit digit is equal to the product of the other two digits ..

Answer / vignesh1988i

the number is : x*1+y*10+z*100 (236)

second eq: (z*1+y*10+x*100)-(x*1+y*10+z*100)=396 ,
solving this we get x-z=4

given that z&y are prime so it can only take 2,3,5,7 oly.
putting this trial we can solve and we will end up in
236....

thank u

Is This Answer Correct ?    6 Yes 1 No

A 3 digit number is such that it's unit digit is equal to the product of the other two digits ..

Answer / lalit

Let the number be 100x + 10y + xy.

ofcourse xy > x. therefore 10+x-xy=6, (unit digit of the diff).

Hence x(y-1)=4

x=2, y=3, QED!!

Is This Answer Correct ?    4 Yes 2 No

A 3 digit number is such that it's unit digit is equal to the product of the other two digits ..

Answer / shailendra singh

let the no. is xyz,
z=xy
suppose that no. is 236,
6=2*3,
reverse no is 632
diff=632-236-396
hence 236 is the no.

Is This Answer Correct ?    0 Yes 2 No

Post New Answer

More Puzzles Interview Questions

The secret agent X emailed a code word to his head office. They are "AIM DUE OAT TIE MOD". But four of these five words are fake and only one contains the information. The agent X also mailed a sentence as a clue - if I tell you any one character of the code word, you would be able to tell the number of vowels in the code word. Can you tell which is the code word?

6 Answers   TCS,


i want model paper on SBI Clerk post,plz sed previous papers

56 Answers   Abhyudaya Co-operative Bank, BMC, Clerical Jobs, JAS, Rohit Technologies, State Bank Of India SBI,


If A+B=C, D-C=A and E-B=C, then what does D+F stands for? Provide your answer in letter terms as well as in number terms.

1 Answers  


Wo kay chej hi jo saal may 1 baar aata hai months may 2 baar aata hai weeks may 4 baar aata hai or din may 6 baar

0 Answers   College School Exams Tests,


You have 3 points labelled A, B and C. You then have another 3 points labelled 1, 2 and 3. The aim of the puzzle is to connect point A with point 1, 2 and 3. Point B with point 1, 2 and 3 and point C with point 1, 2 and 3. Now while connecting the points you have to follow one rule - the lines cannot cross over each other.

2 Answers  






Mr. Wagle goes to work by a bus. One day he falls asleep when the bus still has twice as far to go as it has already gone. Halfway through the trip he wakes up as the bus bounces over some bad potholes. When he finally falls asleep again, the bus still has half the distance to go that it has already travelled. Fortunately, Mr. Wagle wakes up at the end of his trip. What portion of the total trip did Mr. Wagle sleep?

1 Answers  


How many squares are there in a 5 inch by 5 inch square grid? Note that the grid is made up of one inch by one inch squares.

4 Answers  


16*2/3*7*3/43*1/3=?

12 Answers   State Bank Of India SBI,


day before yesterday i was 25 years , next year iam 28,when is my birthday? which day is today?

8 Answers  


There are four friends, one weekend they plan to go to a picnic. Each family have husband and wife with two kids each, further each kid has 2 pets. Total how many went to the picnic?

1 Answers  


Love love it.. friends need it.. relationing start with it.. life ends with it..

15 Answers  


Makayla had $1.19 in change. None of the coins was a dollar. Nicole ask her for change for a dollar, but Makayla could not make change. What coins did she have?

2 Answers  


Categories