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sritamasia
09 Dec 2021, 09:40
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D
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Difficulty:
95%
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Question Stats:
47% (02:35) correct
53%
(02:37)
wrong
based on 130
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P denotes the sum of two three-digit positive numbers such that P is 606. How many of the 10 digits from 0 to 9 cannot appear as the last digit of the product of these two three-digit numbers?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
10 Dec 2021, 17:05
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x + y = 606
==> sum last two digits of x & y needs to equal 6. List the possible combos:
0+6
1+5
2+4
3+3
7+9
8+8
Now the question asks How many of the 10 digits from 0 to 9 cannot appear as the last digit of xy?
==> find the unit digits resulting from multiplying the number combos we find previously, as that will be the last digit of xy.
Unit digits possible:
0*6 = 0
1*5 = 5
2*4 = 8
3*3 = 9
7*9 = 3
8*8 = 4
===> numbers NOT possible as the unit digit of xy: 1, 2, 6, 7
===> D
==> sum last two digits of x & y needs to equal 6. List the possible combos:
0+6
1+5
2+4
3+3
7+9
8+8
Now the question asks How many of the 10 digits from 0 to 9 cannot appear as the last digit of xy?
==> find the unit digits resulting from multiplying the number combos we find previously, as that will be the last digit of xy.
Unit digits possible:
0*6 = 0
1*5 = 5
2*4 = 8
3*3 = 9
7*9 = 3
8*8 = 4
===> numbers NOT possible as the unit digit of xy: 1, 2, 6, 7
===> D
