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Question

PFB

jbs · Answer

Statement 1:

We have p/8 which leaves a remainder of 5.

The value for p could therefore be 13,21,29,37....

Any such value of p, when divided by 4 leaves a remainder of 1.

Therefore Statement 1 is sufficient.

Statement 2:

p is the sum of the squares of two positive integers.

Let the two numbers be 1 & 2.
Therefore p= 1+4=5 which leaves a remainder of 1 when divided by 4.

Let the two numbers be 4 & 7.
Therefore p=16+49=65 which also leaves a remainder of 1 when divided by 4.

Note : P is a positive  odd  integer.

Therefore Statement 2 is sufficient.

Therefore Option D is the answer.

sidbidus · Answer

Note : P is a positive  odd  integer.

Thanks............I missed this thing

LM · Answer

From (i)


The possible series of positive odd numbers satisfying the given condition will be:

13, 21, 29, 37,... and so on.

Any number of the above series, when divided by 4 will give the the remainder as 1.

Thus (i) us sufficient.

From (ii)

The possible series of positive odd numbers satisfying the given condition will be:

5, 13, 17, ... and so on ( 1^2+2^2, 2^2+3^2....etc. )

Each when divided by 4 will give the remainder as 1.

Thus sufficient.

Answer should be "D". Both (I) and (II) are sufficent to answer the question.

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