Question: What is the maximum number of students among whom 1001 pens and 910 pencils have to be distributed in such a way that each student gets same number of pens and pencils?
Correct Answer: 91
Solution and Explanation
Approach Solution 1:
The total number of pens= 1001
The total number of pencils= 910
The maximum number of students who get the same number of pens and pencils is the H.D.F of 1001 and 910.
Calculating prime factors of 1001 and 910.
=> 1001= 11*91
=> 910= 10*91
H.D.F of 1001 and 910:
=> 91*1= 91
Therefore, 91 students received the same number of pens and pencils.
Approach Solution 2:
Given:
Total number of pens= 1001
Total number of pencils= 910
Maximum number of students who get the same number of pens and pencils= H.D.F(1001 and 910)
Using Prime factorization:
910= 2*5*7*13
1001= 7*11*13
HDF of 1001 and 910= 91
Therefore, 91 students received the same number of pens and pencils.
Approach Solution 3:
It’s the HDF of the 2 numbers
HDF of 1001 and 910
= 91
“What is the maximum number of students among whom 1001 pens and 910”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
Suggested GMAT Problem Solving Samples
- An Automated Manufacturing Plant Uses Robots To Manufacture Products GMAT Problem Solving
- The Surface Distance Between 2 Points on the Surface of a Cube is the GMAT Problem Solving
- The Average Monthly Expenditure of a Family for the First Four Months GMAT Problem Solving
- When a Certain Perfect Square is Increased by 148, the Result is GMAT Problem Solving
- If p#q Denotes the Least Common Multiple of p and q, Then ((12#16) GMAT Problem Solving
- The Smallest of Six Consecutive Odd Integers Whose Average (arithmetic mean) is x + 2 GMAT Problem Solving
- The Greatest 6-Digit Number When Divided by 6, 7 ,8 , 9, and 10 Leaves a Remainder of 4, 5, 6, 7, and 8 Respectively GMAT Problem Solving
- Is Zero Even Integer or Odd Integer? GMAT Problem Solving
- If 20 Men or 24 Women or 40 Boys can do a Job in 12 Days GMAT Problem Solving
- If 10 millimeters equal 1 centimeter, how many square centimeters does 1 square millimeter equal?
- How many Terminating Zeroes does 200 Have GMAT Problem Solving
- Properties of Circle 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
- For How Many Values of k is 12^12 the Least Common Multiple GMAT Problem Solving
- Bag A Contains Red, White and Blue Marbles such that GMAT Problem Solving
- Assume that all 7-Digit Numbers That do not Begin with 0 or 1 are Valid Phone Numbers. GMAT Problem Solving
- A Car Travels from Mayville to Rome at an Average Speed of 30 miles per hour GMAT Problem Solving
- In How Many Different Ways can 3 Identical Green Shirts and 3 Identical Red Shirts be Distributed Among 6 Children GMAT Problem Solving
- How Many Factors of 80 are Greater Than\(\sqrt80\)? GMAT Problem Solving
- If ‘A’ Can Complete a Task in 3 Hours and ‘B’ Can Complete the Same Task in 6 Hours GMAT Problem Solving
- If A Equals the Sum of the Even Integers from 2 to 20, Inclusive GMAT Problem Solving
- The Interior of a Rectangular Carton is Designed by a Certain Manufacturer GMAT Problem Solving
- A Store Currently Charges The Same Price for Each Towel That It Sells. GMAT Problem Solving
- What is the Value of [ √ 7 + √ 29 − √ 7 − √ 29 ] 2 GMAT Problem Solving
- What is The Area of a Triangle with the Following Vertices GMAT Problem Solving
- The Product of the Five Smallest Two-Digit Prime Numbers GMAT Problem Solving
- The Square of 5^√2 =? GMAT Problem Solving
- Two Adjacent Angles of a Parallelogram are in the Ratio of 1:3 GMAT Problem Solving
- A bag contains blue and red balls only GMAT Problem Solving
- (4.8*10^9)^(1/2) is closest in value to GMAT Problem Solving
- What Is The Units Digit Of 2222^333 ∗ 3333^222? GMAT Problem Solving
- What Is The Tens Digit Of 6^17? GMAT Problem Solving
- If m=−2, What Is −m^(−m)? GMAT Problem Solving
- A Certain Sum of Money is Divided Among A, B and C such that A Gets One GMAT Problem Solving
- The Ratio of Boys to Girls in Class A is 1 to 4, and that in Class B is 2 to 5 GMAT Problem Solving
- The Maximum Mark in an Examination is 100 and the Minimum is 0 GMAT Problem Solving
- A Rectangular Box has Dimensions 12*10*8 Inches GMAT Problem Solving
- A Driver Completed the First 20 Miles of a 40-Mile Trip at an Average Speed of 50 Miles Per Hour GMAT Problem Solving
- The sum of three numbers is 98. If the ratio between first and second be 2:3 and between second and third be 5:8 GMAT Problem Solving
- How Many Three-Letter Words Can be Constructed Using All the 26 Letters of the English Alphabet GMAT Problem Solving
- How Many Litres of Pure Alcohol Must be Added to a 100-litre Solution That is 20 Percent Alcohol GMAT Problem Solving
- For Any Four Digit Number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d) GMAT Problem Solving
- How Many Five Digit Numbers Can be Formed Using Digits 0, 1, 2, 3, 4, 5, Which Are Divisible By 3 GMAT Problem Solving
- An “Armstrong Number” is an n-Digit Number That is Equal to the Sum of the nth Powers GMAT Problem Solving
- A train crosses a bridge of length 500 m in 40 seconds and a lamp post on the bridge in 15 seconds
- A Train can Travel 50% Faster than a Car GMAT Problem Solving
- A rectangle is inscribed in a hexagon that has all sides of equal length and all angles of equal measure GMAT Problem Solving
- A Positive Integer Is Divisible by 9 If And Only If The Sum of Its Digits is Divisible By 9 GMAT Problem Solving
- The two lines are tangent to the circle. GMAT Problem Solving
- In a Certain Population, There are 3 Times as Many People Aged Twenty-One or Under GMAT Problem Solving
Comments