Aptitude - Numbers - Discussion
Discussion Forum : Numbers - General Questions (Q.No. 37)
37.
A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Answer: Option
Explanation:
4 a 3 | 9 8 4 } ==> a + 8 = b ==> b - a = 8 13 b 7 |
Also, 13 b7 is divisible by 11 
(7 + 3) - (b + 1) = (9 - b)
(9 - b) = 0
b = 9
(b = 9 and a = 1) (a + b) = 10.
Discussion:
35 comments Page 1 of 4.
Nandini B N said:
5 years ago
To know the number is divisible by 11, the rule is,
Sum of all even places=sum of all odd places.
In 13b7,
3 + 7 = 1 + b.
b=9.
Then a+8 = 9.
a = 1.
a+b = 1 + 9 = 10.
Sum of all even places=sum of all odd places.
In 13b7,
3 + 7 = 1 + b.
b=9.
Then a+8 = 9.
a = 1.
a+b = 1 + 9 = 10.
(52)
Kanchan said:
8 years ago
Here 4 a 3
And 9 8 4
Gives 1 3 b 7
Since 4+9=13
and at last, we are getting 13 it means the previous no has not generated any carry which can only be possible when a=1. as then we will get 8+1=9.
Therefor a=1, b=9.
a+b=10.
And 9 8 4
Gives 1 3 b 7
Since 4+9=13
and at last, we are getting 13 it means the previous no has not generated any carry which can only be possible when a=1. as then we will get 8+1=9.
Therefor a=1, b=9.
a+b=10.
(12)
THE REAL GANGSTA ( SIMPLEST METHOD) said:
8 years ago
+984
-------
13b7
The first thing is to figure out the possible values of the sum. The missing digit can be 0 to 9:
1307, 1317, 1327, 1337, 1347, 1357, 1367, 1377, 1387, 1397.
Only one of these is evenly divisible by 11, namely 1397, so b = 9.
Filling that in, we have:
. 4a3
+984
-------
1397
From that, it is easy to figure the top number is 413 and thus a = 1.
a=1
b=9
a+b = 10
Answer:
10
-------
13b7
The first thing is to figure out the possible values of the sum. The missing digit can be 0 to 9:
1307, 1317, 1327, 1337, 1347, 1357, 1367, 1377, 1387, 1397.
Only one of these is evenly divisible by 11, namely 1397, so b = 9.
Filling that in, we have:
. 4a3
+984
-------
1397
From that, it is easy to figure the top number is 413 and thus a = 1.
a=1
b=9
a+b = 10
Answer:
10
(7)
Deepika said:
3 years ago
@Uma.
Super, Thanks for explaining.
Super, Thanks for explaining.
(5)
Chitra said:
7 years ago
Nice explain @Samyuktha.
(3)
Soni said:
8 years ago
Guys, 11 divisibility rule is applicable here so solve it by that rule. It will be more easy.
(3)
Prudvj said:
8 years ago
4 digit number 13b7 i. e divided 11.
So even-odd then :(3+7)-(1+b )apply b=9.
10-10=0.
a+b=1+9=10.
So even-odd then :(3+7)-(1+b )apply b=9.
10-10=0.
a+b=1+9=10.
(3)
Uma said:
1 decade ago
Here they give two numbers 4a3 and 983.
And they said when they are added together, we get 13b7.
It means.
4 a 3.
9 8 4.
------
13 b 7.
--------
When we observe this.
If 3+4=7.
4+9=13 then a = 0 or 1.
We get b = 8 or 9.
And also they said that 13 b 7 is divisible by 11.
If we take b = 9 i.e.,
1397 it is divisible by 11.
So b = 9, a = 1.
Now a+b = 9+1 = 10.
And they said when they are added together, we get 13b7.
It means.
4 a 3.
9 8 4.
------
13 b 7.
--------
When we observe this.
If 3+4=7.
4+9=13 then a = 0 or 1.
We get b = 8 or 9.
And also they said that 13 b 7 is divisible by 11.
If we take b = 9 i.e.,
1397 it is divisible by 11.
So b = 9, a = 1.
Now a+b = 9+1 = 10.
(2)
Saini ji said:
8 years ago
But what about condition that 13b7 is divisible by 11.
(1)
Senthil kumar said:
1 decade ago
Here a=1 is how declared please explain I can't understand?
(1)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers