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11 Feb 2020, 01:26
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (00:58) correct
31%
(01:57)
wrong
based on 67
sessions
History
Date
Time
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Not Attempted Yet
How many three-digit positive integers are there in which all digits are prime -
A) 64
B) 27
C) 8
D) 125
E) 1000
A) 64
B) 27
C) 8
D) 125
E) 1000
12 Feb 2020, 21:31
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There are 4 prime numbers between 0 and 9, namely, 2, 3, 5, and 7. You must choose 1 of these numbers for each digit of a 3-digit number. 1st digit (4 choices) x 2nd digit (4 choices) x 3rd digit (4 choices) = 64.
13 Feb 2020, 00:04
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Raxit85
Solution
- • Total number of single digit prime numbers = 4 (i.e. 2,3,5 and 7)
• So, for each digit of a three-digit positive integers, we have 4 options.
- o Thus, total number of 3-digit integer with all digits as prime \(= 4*4*4 = 64\)
