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51.

476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred's and ten's places are respectively:

[A].	7 and 4	[B].	7 and 5
[C].	8 and 5	[D].	None of these

Answer: Option E

Explanation:

Let the given number be 476 xy 0.

Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11.

x - y - 3 = 0 y = x - 3

(17 + x + y) = (17 + x + x - 3) = (2x + 14)

x= 2 or x = 8.

x = 8 and y = 5.

Parampreet Singh said: (Mon, Jul 18, 2011 12:02:49 PM)

What about x=5 and y=2 as answer?

Durga Prasad said: (Sat, Jul 23, 2011 03:21:09 PM)

In explanation, I can't understand last 2 steps. Please anybody explain them.

Tejender Pal said: (Fri, Aug 19, 2011 11:53:42 AM)

we have to make (2x + 4) divisible by 3 bcz we are using (17 + x + y) which is divisible by 3. Hence to make it divisible by 3 the values are 2 & 8. In the answer, the given value contain the term 8 for x. So we choose 8 instead of 2. The values of y corresponding to the value x = 8, is y=5

Neelu said: (Wed, Sep 21, 2011 07:25:29 PM)

Please can any one can explain this problem in easy method.

Tanya Mazumdar said: (Sat, Sep 24, 2011 02:32:43 AM)

Let the given number be 476 xy 0. add the digits (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3. To check no. is divisible by 3, the easiest way is to check from the options: from A. put 17+7+4=17+11=28 not divisible by 3 from B. put 17+7+5=17+12=29 not divisible by 3 from C. put 17+8+5=17+13=30 is divisible by 3 therefore,x=8 and y=5. To check no. is divisible by 11: (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11. from A. put 7-4-3=7-7=0 is divisible by 11 from B. put 7-5-3=7-8=-1 not divisible by 11 from C. put 8-5-3=8-8=0 is divisible by 11 therefore,x=8 and y=5. Option C is correct.

Durga Prasad said: (Tue, Sep 27, 2011 07:25:32 PM)

Hi Tanya, Thanks for given explanation.

Kumar said: (Mon, Oct 31, 2011 07:28:13 PM)

Hey can any one xplain these two steps (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3. And, (0 + x + 7) - (y + 6 + 4) = (x - y -3) must be either 0 or 11. How it comes?