Which of the Following is the Correct Ordering of 2√13, 4√3, 5√2 and 3√6 ? GMAT Problem Solving

Question: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3√6 ?

1. 2√13<3√6<5√2<4√3
2. 3√6<5√2<4√3<2√13
3. 4√3<5√2<2√13<3√6
4. 5√2<4√3<3√6<2√13
5. 2√13<3√6<4√3<5√2

“Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3√6 ?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:
Approach Solution 1:
This question can be solved by only one approach.
Squaring each number, we get:

(2√13)^2 = 4 x 13 = 52
(4√3)^2 = 16 x 3 = 48
(5√2)^2 = 25 x 2 = 50
(3√6)^2 = 9 x 6 = 54

Since 48 < 50 < 52 < 54, then we know that 4√3 < 5√2 < 2√13 < 3√6.

Correct Answer: C

Suggested GMAT Problem Solving Questions

• For Every Positive Even Integer n, the Function h(n) is Defined to be GMAT Problem Solving
• The formula F = 9/5 * C + 32 gives the relationship between the temperature GMAT Problem Solving
• A Takes 5 More Days Than B To Do A Certain Job And 9 Days More Than C GMAT Problem Solving
• A Watch Which Gains 5 Seconds In 3 Minutes Was Set Right At 7 A.M. GMAT Problem Solving
• Of The 800 Employees Of Company X, 70 Percent Have Been With The Company GMAT Problem Solving
• To 100 Litres Of Milk, 10 Litres Of Water Is Added And Then 20 Litres GMAT Problem Solving
• Walking at 3/4 of his normal speed, Mike is 16 minutes late GMAT Problem Solving
• There are 12 yes or no questions. How many ways can these be answered? GMAT Problem Solving
• There are 7 Red and 5 Blue Marbles in a Jar GMAT Problem Solving
• A Basket Contains 3 White and 5 Blue Balls GMAT Problem Solving
• Working together, John and Jack can type 20 pages in one hour GMAT Problem Solving
• Is x^2 *x^5*z>0? GMAT Problem Solving
• The average (arithmetic mean) of four distinct positive integers is 10 GMAT Problem Solving
• How many roots does the equation √x2+1+√x2+2=2 have? GMAT Problem Solving
• A Box Contains 10 Tablets of Medicine A and 15 Tablets of Medicine B GMAT Problem Solving
• If x=√10+3√9+4√8+5√7+6√6+7√5+8√4+9√3+10√2, then which of the following must be true? GMAT Problem Solving
• What is the last digit of (3)^(3)^3? GMAT Problem Solving
• It takes Jack 2 more hours than Tom to type 20 pages GMAT Problem Solving
• The angles in a triangle are x, 3x, 5x degrees GMAT Problem Solving
• If among 5 children, there are 2 siblings; in how many ways can the children be seated GMAT Problem Solving