Question: A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?

(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees

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: E

Solution and Explanation:
Approach Solution 1:
As per statement 1 we know the ratio but do not know how many candies/Cookies/Toffees did each student receive. Hence Not Sufficient.

Statement 2 just tells the ratio of the three items distributed (same as Statement 1). And says nothing about the actual number received by each student. Hence Not Sufficient.

Approach Solution 2:
Statement 1 is insufficient as it does not give any information on the number of students in the class.

Statement 2 gives the total number of candies, cookies and toffees distributed but doesn't give information on how many of those did each get hence insufficient.

Statements 1 and 2 together are also insufficient as 27, 36 and 45 can be distributed in the ratio of 3:4:5 among 9 students with 3,4 and 5 each or among 3 students with 9,12 and 15 each.

“A teacher distributed a number of candies, cookies, and toffees among”- is a topic of the GMAT Quantitative reasoning section of GMAT. 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 Samples

• A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively GMAT Data Sufficiency
• What is the circumference of circle C ? (1) The radius of circle C is 2π GMAT Data Sufficiency
• Triangle ABC is right angled at B. BD, the median to hypotenuse AC, is 5 units GMAT Data Sufficiency
• If each side of parallelogram P has length 1, what is the area of P? GMAT Data Sufficiency
• Is the positive integer n a multiple of 24? GMAT Data Sufficiency
• Did Insurance Company K have More than $300 Million in Total Net Profits Last Year? GMAT Data Sufficiency
• Is 1/(a - b) > b - a ? GMAT Data Sufficiency
• Is |x-10| > |x-30| GMAT Data Sufficiency
• If J≠0, What Is The Value Of J? GMAT Data Sufficiency
• P and Q are prime numbers less than 70. What is the units digit of P*Q? GMAT Data Sufficiency 
• Max purchased a guitar for a total of $624,which consisted of the price of the guitar and the sales tax. GMAT Data Sufficiency 
• In the figure shown, point O is the center of the semicircle and points B, C, D lie on the semicircle GMAT Data Sufficiency 
• Is 500 the average (arithmetic mean) score on the GMAT? GMAT Data Sufficiency 
• If 4x = 5y = 10z, what is the value of x + y + z ? (1) x - y = 6 (2) y + z = 36 GMAT Data Sufficiency 
• If Jeff has four movies, and must choose to watch either 1, 2, or 3 different movies GMAT Data Sufficiency
• From a Group of M Employees, N Will be Selected, at RandomGMAT Data Sufficiency-
• Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)? GMAT Data Sufficiency
• Figure ABCD is a rectangle with sides of length x centimeters and width y centimeters, and a diagonal of length z centimeters. GMAT Data Sufficiency 
• Can the Positive Integer p be Expressed as the Product of Two Integers GMAT Data Sufficiency 
• A School Administrator will Assign each Student in a Group GMAT Data Sufficiency 
• What is the total value of Company H's stock? GMAT Data Sufficiency
• Is PQ > 1? GMAT Data Sufficiency
• How Many of the Students in a Certain Class are Taking Both a History and a Science Course? GMAT Data Sufficiency
• The Set S of Numbers has the following Properties GMAT Data Sufficiency
• A Contractor Combined x Tons of a Gravel Mixture that Contained 10 percent Gravel G GMAT Data Sufficiency
• If Jeff has four movies, and must choose to watch either 1, 2, or 3 different movies GMAT Data Sufficiency
• From a Group of M Employees, N Will be Selected, at Random, GMAT Data Sufficiency
• Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)? GMAT Data Sufficiency
• Juan Bought Some Paperback Books That Cost $8 GMAT Data Sufficiency
• The symbol ∆ Denotes One of The Four Arithmetic Operations GMAT DATA Sufficiency
• X is Older Than Y, Z Is Younger Than W And V is Older Than Y. Is Z Younger Than X? GMAT Data Sufficiency
• 2x+3y GMAT Critical Reasoning
• The Selling Price of an Article is Equal to the Cost of the Article GMAT Critical Reasoning
• Equilateral triangle BDF Is Inscribed in Equilateral Triangle ACE GMAT Data Sufficiency
• What is the value of x if x^3 < x^2? GMAT Data Sufficiency
• If x ≠0, then what is the value of (|x|)x? GMAT Data Sufficiency
• What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair? GMAT Data Sufficiency
• Does The Equation y = (x – p)(x – q) Intercept The x-axis At GMAT Data Sufficiency
• S is a Set of n Consecutive Positive Integers. Is the Mean of the Set GMAT Data Sufficiency
• What is x? (1) |x| < 2 (2) |x| = 3x – 2 GMAT Data Sufficiency
• Is P – 1 Even?, GMAT Data Sufficiency
• Buster Leaves the Trailer at Noon and Walks Towards the Studio at a Constant Rate of B Miles Per Hour., GMAT Data Sufficiency
• If ab = ac is b = 2?, GMAT Data Sufficiency
• The symbol ∆ Denotes One of The Four Arithmetic Operations GMAT DATA Sufficiency, GMAT Data Sufficiency
• Is Quadrilateral ABCD a Rectangle?, GMAT Data Sufficiency
• If \(x^2\)=\(2^x\), What is the Value of x ?, GMAT Data Sufficiency
• A Pentagon With 5 Sides Of Equal Length And 5 Interior Angles Of Equal measure is Inscribed in a Circle, GMAT Data Sufficiency
• If m is a positive integer, is \(\sqrt{m}>25\) ? , GMAT Data Sufficiency
• What is the value of \(6x^2+9y^2\)?, GMAT Data Sufficiency
• If x and y are integers and \(x=\frac{y}{5}+2\) , is xy even?, GMAT Data Sufficiency