How many three-digit numbers which are divisible by 7 can be formed using the first three prime numbers (without repetition)?
Pick ONE option
A) 1
B) 2
C) 4
D) 6
Clear Selection
Answers
Answer:
there is only one no. that is 532
Step-by-step explanation:
answer is option a
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Given : three-digit numbers formed using the first three prime numbers (without repetition)
To find : how many numbers which are divisible by 7
Solution:
First three prime numbers are 2 , 3 & 5
6 numbers can be formed using these 3 digits with out repetition
235
253
325
352
523
532
235 = 7 * 33 + 4
253 = 7 * 36 + 1
325 = 7 * 46 + 3
352 = 7 * 50 + 2
523 = 7 *74 + 5
532 = 7 * 76
532 is the only three-digit number which is divisible by 7 can be formed using the first three prime numbers(without repetition)
only 1 three-digit number which is divisible by 7 can be formed using the first three prime numbers (without repetition)
Option A is correct
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