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?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

CAT Exam > CAT Questions > Each question is followed by two statements, ...

Join the Discussion on the App

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?

FREE This question is part of

NMAT Quantitative Skills MCQ Quiz - 3

Attempt Test

Attempt this Test

Verified Answer

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.

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for CAT exam

Similar CAT Doubts

Each question is followed by two statements, I and II. Answer each question using the following instructions:Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.Mark (3) if the question can be answered by using either of the statements alone.Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.Mark (5) if the question cannot be answered by using any of the statements. Which direction was Qarim facing initially?I. Qarim has turned by 90 in the anticlockwise direction 1983862989 number of times.II. Qarim was facing North after 127839th turn.

View answer

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.Q. What day is today?A. Hraday went to a movie 10 days ago.B. Hraday goes to the movie only on a Sunday.

View answer

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.If x + 2y + 3z = 8 and 2x + 3y + z = 5, find the values of x, y and z.A. x, y, z are non-negative integers.B. x, y, z have distinct values.

View answer

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 speed of the cruise ship when sailing in still water?A. It passes a lighthouse tower (of negligible length) in 10 seconds.B. It passes another cruise ship of length 600 metres in 30 seconds

View answer

Each question is followed by two statements A and B. Answer each questionusing the following instructions.Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark (3) if the question can be answered by using both the statementstogether but not by using either of the statements alone.Mark (4) if the question cannot be answered on the basis of the two statements.What is the difference in the cubes of the roots of the quadratic equation ax2 + bx + c = 0? Sum of the roots of the quadratic equation is known. Product of the roots of the quadratic equation is known. Correct answer is '3'. Can you explain this answer?

View answer

Top Courses for CATView all

Quantitative Aptitude (Quant)

Crash Course for CAT

CAT Mock Test Series 2024

Mock Test Series for SNAP

Mock Test Series for XAT

Top Courses for CAT

View all

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?

Share with a Friend

Answer this doubt

Question Description
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?.

Solutions 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? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice CAT tests.

Explore Courses for CAT exam