bySayantani Barman Experta en el extranjero
Question: If \((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})=r(\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\)then r =
- \(\frac{1}{3}\)
- \(\frac{4}{3}\)
- 3
- 4
- 12
Answer:
Solution with Explanation:
Approach Solution (1):
To solve this question, we need to recognize that there’s a \((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\) ”hiding” in \((\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\)
We can reveal this by factoring \(\frac{1}{3}\)out of \((\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\)
We get: \((\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\) = \(\frac{1}{3}\)\((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\)
So,
Given: \((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\) = r\((\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\)
Factor right side to get:\((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\) =(r)\(\frac{1}{3}\)\((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\)
Divide \((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})\) from both sides to get: 1 = r*\(\frac{1}{3}\)
Multiply both sides by 3 to get: 3 = r
Correct Option: C
“If \((\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})=r(\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18})\)then r =”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. 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.
Suggested GMAT Problem Solving Samples
- Greg Assembles Units of a Certain Product at a Factory. GMAT Problem Solving
- After 6 Games, Team B Had an Average of 61.5 Points Per Game. GMAT Problem Solving
- If 10, 12 and ‘x’ are Sides of an Acute Angled Triangle, How Many Integer Values of ‘x’ are Possible? GMAT Problem Solving
- \(\frac{15^{11}-15^{10}}{14}=?\) GMAT Problem Solving
- For Any Four Digit Number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d) GMAT Problem Solving
- GMAT Problem Solving - Iqbal Dealt Some Cards to Mushtaq and himself from a Full Pack of Playing Cards
- A Rectangular Box has Dimensions 12*10*8 Inches GMAT Problem Solving
- What Is The Circumference Of The Semicircle In The Figure Shown? GMAT Problem Solving
- In a Trapezium ABCD, AB Is Parallel To DC, AB = 3*DC, And The Diagonals Of The Trapezium Intersect At O GMAT Problem Solving
- A Bag Contains 5 Red Balls And Some Blue Balls GMAT Problem Solving
- A Small Water Pump Would Take 2 Hours To Fill An Empty Tank GMAT Problem Solving
- ABCD Is An Isosceles Trapezium GMAT Problem Solving
- An Equilateral Triangle is Constructed on Each Side of a Square GMAT Problem Solving
- For A Negative Integer x, What Is The Value Of x * √(x^2)? GMAT Problem Solving
- Five Letters Are To Be Placed Into Five Addressed Envelopes GMAT Problem Solving
- Find The Number Of Trailing Zeros In The Product Of (1^1) GMAT Problem Solving
- Find The Altitude Of An Equilateral Triangle Whose Side is 20 GMAT Problem Solving
- Which of the following is the value of √3√0.000064? GMAT Problem Solving
- Two Dice are Thrown Simultaneously. What is the Probability of Getting Two Numbers Whose Product is Even? GMAT Problem Solving
- The Smallest 3-Digit Positive Integer Obtained By Adding Two Positive Two-Digit Numbers GMAT Problem Solving
- Train A Leaves New York at 9am Eastern Time on Monday, Headed for Los Angeles at a Constant Rate GMAT Problem Solving
- An Express Train Traveled At An Average Speed of 100 Kilometers Per Hour GMAT Problem Solving
- In The Figure Shown, If The Area of The Shaded Region is 3 Times The Area of The Smaller Circular Region GMAT Problem Solving
- A Regular Hexagon has a Perimeter of 30 units GMAT Problem Solving
- All the Numbers 2, 3, 4, 5, 6, 7 are Assigned to the Six Faces of a Cube, One Number to Each Face GMAT Problem Solving
- If it is true that x > -2 and x < 7, which of the following must be true? GMAT Problem Solving
- In a Drawer, There are 4 White Socks, 3 Blue Socks, and 5 Grey Socks GMAT Problem Solving
- There are 100 Apples in a Bag of which 98% are Green and Rest are Red GMAT Problem Solving
- A palindrome is a number that reads the same forward and backward GMAT Problem Solving
- Three Cars Leave From A To B In Equal Time Intervals GMAT Problem Solving
- An Inlet Pipe can Fill in an Empty Cistern in 30 minutes GMAT Problem Solving
- A Zookeeper Counted the Heads of the Animals in a Zoo and Found it to be 80 GMAT Problem Solving
- A Shop Stores x kg of Rice. The First Customer Buys half this Amount Plus half a kg of Rice GMAT Problem Solving
- In a Class of 120 Students Numbered 1 to 120, All Even Numbered Students Opt for Physics GMAT Problem Solving
- Machine A Produces bolts at a Uniform Rate of 120 Every 40 seconds GMAT Problem Solving
- Out of 7 Consonants and 4 Vowels, How Many Words of 3 Consonants and 2 Vowels Can be Formed? GMAT Problem Solving
- 4 Bells Toll Together at 9:00 A.M. They Toll After 7, 8, 11 and 12 Seconds GMAT Problem Solving
- After 6 games, Team B had an average of 61.5 points per game GMAT Problem Solving
- Simplify:\frac{4.5-2*\frac{3}{6}+\frac{1}{4^2}}{0.75} GMAT Problem Solving
- There are 6 points on xy-plane GMAT Problem Solving
- Mike, Tom, and Walt are working as sales agents for an insurance company GMAT Problem Solving
- What is the value of k if the sum of consecutive odd integers from 1 to k equals 441? GMAT Problem Solving
- A circle with a radius R is inscribed into a square with a side K GMAT Problem Solving
- The square of \(5^\sqrt2)\ =? GMAT Problem Solving
- A farm has chickens, cows and sheep GMAT Problem Solving
- If g is an integer what is the value of (-1)^g^4-1? GMAT Problem Solving
- What is the area of the triangle with the following vertices L(1,3) M(5,1) and N(3,5)? GMAT Problem Solving
- A contractor estimated that his 10-man crew could complete the construction GMAT Problem Solving
- A circle is inscribed in a square with the diagonal of 4 centimeters GMAT Problem Solving
Comments