Question: Is x + 1 a factor of 12?

1. x + 1 is even
2. x + 1 is a factor of 2 and 3

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

Correct Answer: B
Approach Solution 1:
S1: x + 1 is even
Clearly this statement is insufficient, x + 1 could be 2 or 30
S2: x + 1 is a factor of 2 and 3
2 and 3 are consecutive integers, consecutive integers are co-prime, which means that they do not share any common factor but 1 (for example 5 and 6, two consecutive integers share only one common factor: 1)
So as x + 1 is a factor of both 2 and 3 then x + 1 = 1 and 1 is a factor of 12
Hence sufficient

Approach Solution 2:
S1: If x + 1 is even
x + 1 could be 2 in which case answer is yes
x + 1 could be 14 in which case answer is no
Hence this statement is not sufficient
S2: x + 1 could only be 1, 2, or 3 each of which is a factor of 12. So answer is yes
Hence this statement is sufficient

Approach Solution 3:
Statement I: If x + 1 is even
Hence, statement 1 is insufficient since x + 1 = 8, x + 1 = 4
Statement II x + 1 is a factor of 2 and 3.
Statement 2 is sufficient If x + 1 is a factor of 2 and 3 it has to be equal to 1. Hence x + 1 is a factor of 12.

“Is x + 1 a factor of 12?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

Suggested GMAT Data Sufficiency Questions:

• What is the Sum of Five Numbers? GMAT Data Sufficiency
• In an Isosceles Triangle PQR, How Many Degrees is ∠ P GMAT Data Sufficiency
• A company makes and sells two products, P and Q. the costs per unit of GMAT Data Sufficiency
• When 120 is Divided by Positive Single-Digit Integer M the Remainder GMAT Data Sufficiency
• There are twenty students in a class, all of whom scored between 0 and 100 GMAT Data Sufficiency
• There are 8 red tegu lizards in the reptile house at a local zoo GMAT Data Sufficiency
• A certain fruit stand sold a total of 76 oranges to 19 customers GMAT Data Sufficiency
• Three dice, each with faces numbered 1 through 6, were tossed onto a game board GMAT Data Sufficiency
• Jeff plans to lose weight by reducing his daily calorie intake each we GMAT data sufficiency
• Bonnie Can Paint a Stolen Car in x hours, and Clyde Can Paint GMAT Data Sufficiency
• Alice has $15, which is enough to buy 11 muffins and GMAT Data Sufficiency
• The product of three distinct positive integers is equal to the GMAT Data Sufficiency
• If at Least One Astronaut does not Listen to Bach at Solaris Space Station GMAT Data Sufficiency
• Set A Consists of k Distinct Numbers GMAT Data Sufficiency
• Four friends go to Macy’s for shopping and buy a top each GMAT Data Sufficiency
• If 3x – 2y = 7, what is the value of x? x and y are positive integer GMAT Data Sufficiency
• Of the 58 Patients of Vertigo Hospital, 45 have Arachnophobia GMAT Data Sufficiency
• If the Lengths of the Legs of a Right Triangle are Integers GMAT Data Sufficiency
• If x is a Positive Integer, is√x an Integer GMAT Data Sufficiency
• If Bob's Age is Three Times David's Age, What is Bob's Age? GMAT Data Sufficiency
• A Circle is Inscribed in a Quadrilateral ABCD Such a Way that it Touches GMAT Data Sufficiency
• What is the Area of a Rectangular Field? GMAT Data Sufficiency
• If x and y are negative integers, then what is the value of xy GMAT Data Sufficiency
• If x is a non-zero integer, what is the value of x GMAT Data Sufficiency
• In the Figure above, FGHI is Inscribed in the Circle with the Centre J GMAT Data Sufficiency
• In the xy- plane, region R consists of all the points (x, y) GMAT Data Sufficiency
• Is 2ab > ab? GMAT Data Sufficiency
• What is the Probability That it will Rain Tomorrow GMAT Data Sufficiency
• If r > 0 and s > 0, is r/s < s/r? GMAT Data Sufficiency
• How many integers n are there such that r < n < s? GMAT Data Sufficiency
• By How Many Dollars was The Price of a Certain Portable Tape Recorder GMAT Data Sufficiency
• At a Certain Bookstore, Each Notepad Costs x Dollars GMAT Data Sufficiency
• A Train Traveled from Station A to Station B at an Average Speed of 80 GMAT Data Sufficiency
• A Teacher Distributed a Number of Candies, Cookies, and Toffees GMAT Data Sufficiency
• What is the Perimeter of Quadrilateral Q? GMAT Data Sufficiency
• What is the Perimeter of Rectangle ABCD GMAT Data Sufficiency
• Mr. Alex Usually Starts at 9:00am and Reaches His Office Just GMAT Data Sufficiency
• If x and y Represent Number on The Number Line, is x + y = 0 GMAT Data Sufficiency
• Is 9 the HCF of p and q? GMAT Data Sufficiency
• Is√(x−3)2=3−x?GMAT Data Sufficiency
• What is the volume of a certain rectangular solid? GMAT data sufficiency
• If abc 0, is a < b < c? (1) 1/c < 1/b < 1/a (2) c > a GMAT Data Sufficiency
• A Recent Lunch Meeting at a Certain Club was Attended by Members GMAT Data Sufficiency
• w, x, y, and z are integers. If w > x > y > z > 0, is y a common GMAT Data Sufficiency
• What is the sum of 3 consecutive integers? GMAT Data Sufficiency
• Two cars A and B start from diametrically opposite points of GMAT Data Sufficiency
• What Is The Value Of X + Y In The Figure Above? GMAT Data Sufficiency
• The Length, Width, and Height of a Rectangular Box, in Centimeters are L, W, and H GMAT Data Sufficiency
• Is the perimeter of a rectangle greater than 8 inches GMAT Data Sufficiency
• Is the Positive Integer n Divisible by 8? (1) n is Divisible by the Product of Three GMAT Data Sufficiency