Question: A synchronized diving competition will feature 25 synchronized jumps of 2 divers each. At a minimum, how many divers are needed to ensure that each of the 25 jumps features a different combination of divers?

1. 6
2. 7
3. 8
4. 9
5. 10

“A synchronized diving competition will feature 25 synchronized jumps of 2 divers each. At a minimum, how many divers are needed to ensure that each of the 25 jumps features a different combination of divers?”- 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.

Answer: C
Solution and Explanation:
Approach Solution (1):

We need atleast 25 different combinations of divers from say ‘N’ divers

So, NC2 > 25

N * (N-1)/2 > 25

N * (N-1) > 50

N = 8 satisfies and is the minimum value

Correct Option: C

Approach Solution (2):

Since each of the 25 jumps feature should feature a different combination of divers, Let’s start from the answer options:

(A) 6 --- 6C2 = 15 < 25

(B) 7 --- 7C2 = 21 < 25

(C) 8 --- 8C2 = 28 > 25

Hence our answer option is C

Correct Option: C

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