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if a 72x23y is divisible by 88.then find value of x and y
option i rem...
x=3 y=2
x=7 y=2
Read Solution (Total 7)
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- If a number to be divisile by 88, it shuld be divisible by both "8" nd "11"
For a number to be divisible by "8", the last 3-digit shuld be divisible by "8"
here 72x23y --> last 3-digit is 23y
So y=2 [ (ie) 232 is absolutely divisible by "8"]
For a number to be divisible by "11" , sum of odd digits - sum of even digits shuld be divisible by "11"
(7 + x + 3) - (2 + 2 + y)
(7 + x + 3) - (2 + 2 + 2)
(10 + x) - 6 shuld be divisible by "11"
So x = 11
=> 17 - 6 = 11 [ which is absolutely divisible by "11"]
So x = 7 , y= 2
Ans : x = 7 , y = 2
- 10 years agoHelpfull: Yes(81) No(2)
- @Saraswathy: Your Solution 100% wrong.
1st Mistake>>>>number 72x23y, then sum of odd digits={y+2+2} and sum of even digits={3+x+7}.
My Solution:
number 72x23y is divisible by 88 means it should be divide by 8 and 11 exactly.
check for 8:
So y=2 [ (i.e) 232 is absolutely divisible by "8"]
check for 11:
For a number to be divisible by "11" , sum of odd digits - sum of even digits should be either "0" or a number divisible by "11".
so{2+2+2}-{7+x+3} should be equal to "0" or divisible by "11"
6-(10+x)
i.e x=7
now 6-17= -11 which is divisible by 11.
Answer is: x=7,y=2.
- 10 years agoHelpfull: Yes(7) No(0)
- sorry
ans:x=7,y=2 - 10 years agoHelpfull: Yes(2) No(2)
- To check divisibility of a number by 8 always think only about last 3 digits.. So 23y is divisible only if y=2 So, 72x23y is divisible only for y=2 and x can be of any digit from 0 to 9.. So both 727232 and 723232 are divisible by 8.. U can even check this method using calculator ..
- 9 years agoHelpfull: Yes(1) No(0)
- ans:x=3,y=2
if the no is divisible by 88 it must divisible by 8,11
if any no divisible by 8 then the last 3 digits divisible by 8 - 10 years agoHelpfull: Yes(0) No(5)
- If x=7,y=2 =>727232 is only diviseble because 88*8=724 is must be greter than 723232(x=3,y=2)
- 10 years agoHelpfull: Yes(0) No(2)
- x=7,y=2.
difference between sum of odd and even digits(divisibility test for 11) will help to fetch the answer.. on substituting 7 and 22.we will get the difference as 11. which is the answer - 10 years agoHelpfull: Yes(0) No(0)
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