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20 Nov 2022, 03:53
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D
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Difficulty:
75%
(hard)
Question Stats:
50% (02:54) correct
50%
(03:15)
wrong
based on 60
sessions
History
Date
Time
Result
Not Attempted Yet
M is a three-digit number abc, where a is the hundreds digit, b is the tens digit and c is the unit digit; N is a three-digit number def, where d is the hundreds digit, e is the tens digit and f is the units digit, and P is a three-digit number hhh, where h is the hundreds digit, h is the tens digit and h is the units digit. If P = M+N, what is P?
1. h = 2.25e
2. h^2 = 81/14 * ef
1. h = 2.25e
2. h^2 = 81/14 * ef
20 Nov 2022, 07:53
Kudos
Bookmarks
M is a three-digit number abc, where a is the hundreds digit, b is the tens digit and c is the unit digit; N is a three-digit number def, where d is the hundreds digit, e is the tens digit and f is the units digit, and P is a three-digit number hhh, where h is the hundreds digit, h is the tens digit and h is the units digit. If P = M+N, what is P?
1. h = 2.25e
h is a digit, that is 1 to 9.
Only value that fits in for e is \(9=2.25*4\)
So h is 9 and P is 999
Sufficient
2. \(h^2\) = \(\frac{81}{14}\) * ef
h, e and f are digits.
So, e*f has to be 14 and possibility is 2*7.
\(h^2=81…..h=9\)
Sufficient
D
1. h = 2.25e
h is a digit, that is 1 to 9.
Only value that fits in for e is \(9=2.25*4\)
So h is 9 and P is 999
Sufficient
2. \(h^2\) = \(\frac{81}{14}\) * ef
h, e and f are digits.
So, e*f has to be 14 and possibility is 2*7.
\(h^2=81…..h=9\)
Sufficient
D
19 Feb 2023, 07:50
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