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.

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