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If positive integer x is divided by 2, the remainder is 1. What is the remainder when x is divided by 4?
1)  31 < x < 35 ?
2)  x is a multiple of 3 ?
  • a)
    Exactly one of the statements can answer the question
  • b)
    Both statements are required to answer the question
  • c)
    Each statement can answer the question individually
  • d)
    More information is required as the information provided is insufficient to answer the question
     
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If positive integer x is divided by 2, the remainder is 1. What is the...
(1) 31 < x < 35 & if positive integer x is divided by 2 the remainder is 1.
x=33.remainder when x is divided by 4 =1
(2) x is a multiple of 3 & x is divided by 2 the remainder is 1,
x=3,9,15,21,...
remainder when x is divided by 4 =3,1,3,1,...
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Most Upvoted Answer
If positive integer x is divided by 2, the remainder is 1. What is the...
If a positive integer x is divided by 2 and the remainder is 1, then x can be expressed as 2n + 1, where n is an integer.

To find the remainder when x is divided by 4, we can substitute the expression for x into the division statement:
2n + 1 = 4m + r

Since the remainder when x is divided by 4 must be less than 4, r must be either 0, 1, 2, or 3.

To determine which value of r is correct, we can substitute each option into the equation and see which one satisfies the condition.

1) If r = 1:
2n + 1 = 4m + 1
2n = 4m

This equation is not possible because it implies that n is not an integer.

Therefore, the remainder when x is divided by 4 cannot be 1.

Therefore, statement 1) is not sufficient to determine the remainder when x is divided by 4.
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If positive integer x is divided by 2, the remainder is 1. What is the remainder when x is divided by 4?1) 31 < x < 35 ?2) x is a multiple of 3 ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'A'. Can you explain this answer?
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