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Difficulty:
85%
(hard)
Question Stats:
26% (01:51) correct
74%
(02:10)
wrong
based on 38
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There are 25 prime numbers less than 100. 130 people each chose a two-digit prime number. What is the greatest integer x such that there must be at least x people who chose the same prime number?
A) 5
B) 6
C) 7
D) 8
E) 9
A) 5
B) 6
C) 7
D) 8
E) 9
22 Apr 2026, 11:42
Kudos
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hi, can anyone explain this problem? i understood that 25 nos will be repeated 5 times (1st person - 125th person).
22 Apr 2026, 12:51
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There are 25 prime numbers less than 100. 130 people each chose a two-digit prime number. What is the smallest integer x such that there must be at least x people who chose the same prime number?
Find number of one-digit prime numbers:
2, 3, 5, 7
Number of one-digit prime numbers = 4
Find number of two-digit prime numbers:
25 - 4 = 21
Find minimum number who chose the same number:
130/21 = 6.dd
x > 6
x = 7
A) 5
B) 6
C) 7
D) 8
E) 9
Correct answer: C
Find number of one-digit prime numbers:
2, 3, 5, 7
Number of one-digit prime numbers = 4
Find number of two-digit prime numbers:
25 - 4 = 21
Find minimum number who chose the same number:
130/21 = 6.dd
x > 6
x = 7
A) 5
B) 6
C) 7
D) 8
E) 9
Correct answer: C
