Thoughtosphere wrote:
I came across this Data Sufficiency question white taking an old Cambridge Test.
The symbols, #, &, @, $, represent non zero digits.
If #2 + 3& = @$
What is represented by @$
(1) # = 2x&
(2) 10 x@ + $ = 95
This problem can be solved using pen and putting some effort, but I am trying to avoid it. Here's my approach.
Considering (1) - & can only be 1/ 2/ 3. It can not be 4, since # + 3 gives a single digit number @. But, that's all what we can conclude. So 1 alone is not sufficient. 1
Considering (2) - $ has to be 5 and @ 9. Since we are multiplying by 10, @ will be the tens digit and $ the units digit.
That's what we want. So the answer will be 2.
We don't need to know the exact value. Since the multiplying value was 10, we easily came to know the value of the constants.
If you have some better method, please share.
I will give a try
#2
+ 3&
----
@$
----
i) # = 2x& this will not be much useful
if &=2 #=4 (Note : here we are not mentioned all digits are distinct, if it so we can omit this)
if &=3 #=6 (Note : here we are not mentioned all digits are distinct, if it so we can omit this)
if &=4 #=8
ii)10 x@ + $ = 95
Since each symbol is single digit, at most @ can be 9, which leads to 10x9=90 + 5 =95
We got two numbers, now simple pluggin and get it solved
62
+ 33
----
95
----
pls let me know if im wrong