Consider the sum: ABC + DEF + GHI = JJJ
If different letters represent different digits, and there
are no leading zeros, what does J represent?
- 2 Answers
- 12239 Views
- Wipro, I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / guest
The value of J must be 9.
Since there are no leading zeros, J must be 7, 8, or 9. (JJJ
= ABC + DEF + GHI = 14? + 25? + 36? = 7??)
Now, the remainder left after dividing any number by 9 is
the same as the remainder left after dividing the sum of the
digits of that number by 9. Also, note that 0 + 1 + ... + 9
has a remainder of 0 after dividing by 9 and JJJ has a
remainder of 0, 3, or 6.
The number 9 is the only number from 7, 8 and 9 that leaves
a remainder of 0, 3, or 6 if you remove it from the sum 0 +
1 + ... + 9. Hence, it follows that J must be 9.
| Is This Answer Correct ? | 6 Yes | 3 No |
Answer / nell
I agree that J represents 9. ABC, DEF, and GHI would
therefore be represented by 140, 273, and 586. However,
there is not enough information to identify which set of
letters represents which 3-digit number.
| Is This Answer Correct ? | 3 Yes | 4 No |
There is a shortage of tubelights, bulbs and fans in a village - Kharghar. It is found that ?All houses do not have either tubelight or bulb or fan. ?exactly 19% of houses do not have just one of these. ?atleast 67% of houses do not have tubelights. ?atleast 83% of houses do not have bulbs. ?atleast 73% of houses do not have fans. What percentage of houses do not have tubelight, bulb and fan?
A man went into a fast food restaurant and ate a meal costing Rs. 105, giving the accountant a Rs. 500 note. He kept the change, came back a few minutes later and had some food packed for his girl friend. He gave the accountant a Rs. 100 note and received Rs. 20 in change. Later the bank told the accountant that both the Rs. 500 and the Rs. 100 notes were counterfeit. How much money did the restaurant lose? Ignore the profit of the food restaurant.
o,t,t,f,f,s,s,_,_ fill the remaining....and tell me on 9022881719
If a monkey climbs 3 mts and then slips back 2 mts in alternate hour , how much time he will take to climbs 20 mts?
0,2,4,8,14,24,34,...can ypu solve this series?
How we get get 13*12=750 if any one knows how it is done plz answer it?
In which month child has been less weeping?
What is the ten letter country 8 9 10 represents god 8 9 6 is type of music 4 7 10 is a type of liquor if u dont know the answer u are 10 5 1 ?
Tanya wants to go on a date and prefers her date to be tall, dark and handsome. 1. Of the preferred traits - tall, dark and handsome - no two of Adam, Bond, Cruz and Dumbo have the same number. 2. Only Adam or Dumbo is tall and fair. 3. Only Bond or Cruz is short and handsome. 4. Adam and Cruz are either both tall or both short. 5. Bond and Dumbo are either both dark or both fair. Who is Tanya's date?
8. Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a) 3 b) 5 c) 2
There are 3 lights (in one room) and 3 swtiches (in another room), one for each, if you only enter into the light room once. How can you find out which switch corresponds to which light?
1)PORK/CHOP = C,IF C=2 FIND PORK AND CHOP??? 2)ATOM + BOMB = BINGO.IF A=7 and G= 9, find ATOM BOMB BINGO.
English 
