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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.
Q. m = 1032 + 2, When m is divided by 11, the remainder is r.
Quantity A - r
Quantity B - 3
- a)Quantity A is greater.
- b)Quantity B is greater.
- c)The two quantities are equal.
- d)The relationship cannot be determined from the information given.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: Compare Quantity A and Quantity B, using additional infor...
Actually dividing 1032 + 2 by 11 would be very time consuming, so it is worth trying to compare the quantities without actually doing the division.
A good approach would be to compute the remainder when 101 + 2, 102 + 2, 103 + 2, 104 + 2, etc., are divided by 11 to see if there is a pattern that can help you determine the remainder when 1032 + 2 is divided by 11. The following table shows
the first few cases.
Note that the remainder is 1 when 10 is raised to an odd power, and the remainder
is 3 when 10 is raised to an even power. This pattern suggests that since 32 is even, the
remainder when 1032 + 2 is divided by 11 is 3.
To see that this is true, note that the integers 99 and 9,999 in the rows for n = 2 and n = 4, respectively, are multiples of 11. That is because they each consist of an even number of consecutive digits of 9. Also, these multiples of 11 are each 3 less than 102 + 2 and 104 + 2, respectively, so that is why the remainders are 3 when 102 + 2 and 104 + 2 are divided by 11. Similarly, for n = 32, the integer with 32 consecutive digits of 9 is a multiple of 11 because 32 is even. Also, that multiple of 11 is 3 less than 1032 + 2, so the remainder is 3 when 1032 + 2 is divided by 11. Thus the correct answer is Choice C.
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer?
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Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer?.
Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.Q. m = 1032 + 2, When m is divided by 11, the remainder is r.Quantity A - rQuantity B - 3a)Quantity A is greater.b)Quantity B is greater.c)The two quantities are equal.d)The relationship cannot be determined from the information given.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE.
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