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31 May 2016, 05:43
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72% (01:50) correct
28%
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If both x and y are positive integers less than 90 and greater than 10, is the sum x + y a multiple of 11?
(1) x - y is a multiple of 22
(2) The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same
(1) x - y is a multiple of 22
(2) The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same
31 May 2016, 20:09
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x and y are integers between 10 and 90. Is x + y = 11k
St1: x - y = 22k
44 - 22 = 22 * 1 --> 44 + 22 = 66 is a multiple of 11
23 - 1 = 22 * 1 --> 23 + 1 = 24 is not a multiple of 11
Not Sufficient
St2: The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same
Let the units digit of x be m --> x = 10m + m = 11m
Let the units digit of y be n --> y = 10n + n = 11n
x + y = 11m + 11n = 11(m + n) --> x + y is a multiple of 11
Sufficient
Answer: B
St1: x - y = 22k
44 - 22 = 22 * 1 --> 44 + 22 = 66 is a multiple of 11
23 - 1 = 22 * 1 --> 23 + 1 = 24 is not a multiple of 11
Not Sufficient
St2: The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same
Let the units digit of x be m --> x = 10m + m = 11m
Let the units digit of y be n --> y = 10n + n = 11n
x + y = 11m + 11n = 11(m + n) --> x + y is a multiple of 11
Sufficient
Answer: B
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27 Aug 2016, 18:14
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Here is my approach on this one=>
Statement 1 => x,y=23,1 or 44,22=> not suff
Statement 2 => if both the tens and units digit of a number are same then => X=PQ where P and Q are its digits
=> P=Q=> X=10P+P=> 11P=> both numbers must be multiples of 11 => hence the sum must be a multiple of 11 too
Suff
SMASH THAT B
Statement 1 => x,y=23,1 or 44,22=> not suff
Statement 2 => if both the tens and units digit of a number are same then => X=PQ where P and Q are its digits
=> P=Q=> X=10P+P=> 11P=> both numbers must be multiples of 11 => hence the sum must be a multiple of 11 too
Suff
SMASH THAT B
