The question is from CAT Number Theory Remainders. A number is given in the form of(xa + ya). We need to find out the remainder when it is divided by b.When does an even number become an odd number? When it is divided by 2 (but not always). Think about this.
Question 5: What is the remainder when we divide 390 + 590 by 34?
390 + 590 can be written as (32)45 + (52)45
= (9)45 + (25)45
Any number of the form an + bn is a multiple of (a + b) whenever n is odd.
So (9)45 + (25)45 is a multiple of 9 + 25 = 34
So, the remainder when we divide (32)45 + (52)45 by 34 is equal to 0.
The question is "What is the remainder when we divide 390 + 590 by 34?"
Choice A is the correct answer.
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