Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements. What is the value of the positive integer N.A. Sum of all the factors of N, excluding itself, is 56.B. The total number of factors A has is 4.a)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer?

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Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.
Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.
Mark option (3) if the question can be answered by using either statement alone.
Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark option (5) if the question cannot be answered on the basis of the two statements. What is the value of the positive integer N.

A. Sum of all the factors of N, excluding itself, is 56.
B. The total number of factors A has is 4.

a)
1
b)
2
c)
3
d)
4
e)
5

Correct answer is option 'D'. Can you explain this answer?

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Each question is followed by two statements, A and B. Answer each ques...

Statements A and B alone cannot give a unique solution.

Using both the statements, the number is in the form of (a¹ x b¹) or a³, where a and b are prime.

If the number is of the form a3, its factors will be 1, a, a² and a³.

Therefore the number cannot be in the form of a³ since a² + a + 1 = 56 does not have any integer solutions.

∴ The number is of the form a¹x b¹
Its factors are 1, a, b and ab.
Sum of the factors excluding N is given to be 56.

a + b = 56 - 1 = 55

∴ a and b should be two primes such that,

a + b = 55

∴ a = 2, b = 53

∴ N= 53 x 2 = 106

∴ Statements A and B together are together sufficient to answer the question.
Hence, option 4.

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Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements. What is the value of the positive integer N.A. Sum of all the factors of N, excluding itself, is 56.B. The total number of factors A has is 4.a)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements. What is the value of the positive integer N.A. Sum of all the factors of N, excluding itself, is 56.B. The total number of factors A has is 4.a)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each question is followed by two statements, A and B. Answer each question using the following instructions: Mark option (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark option (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark option (3) if the question can be answered by using either statement alone.Mark option (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark option (5) if the question cannot be answered on the basis of the two statements. What is the value of the positive integer N.A. Sum of all the factors of N, excluding itself, is 56.B. The total number of factors A has is 4.a)1b)2c)3d)4e)5Correct answer is option 'D'. Can you explain this answer?.

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