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20 Apr 2016, 00:59
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Difficulty:
15%
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Question Stats:
84% (00:52) correct
16%
(00:54)
wrong
based on 46
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If XY, PQ, and RS represent unique two-digit integers, what is the units digit of (XY)^2 + (PQ)^2 + (RS)^2?
(1) Y = 1, Q = 2, and S = 3
(2) X = 4, P = 5, and R = 6
(1) Y = 1, Q = 2, and S = 3
(2) X = 4, P = 5, and R = 6
20 Apr 2016, 12:24
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We have to find the units digit of (XY)^2 + (PQ)^2 + (RS)^2 --> Units digit of (Y^2 + Q^2 + S^2)
St1: Y = 1; Q = 2; S = 3 --> Units digit of (1 + 4 + 9) = 4. Sufficient
St2: X = 4, P = 5, and R = 6 --> Clearly insufficient as Y, Q and S may take multiple values and units digit differs accordingly.
Answer: A
St1: Y = 1; Q = 2; S = 3 --> Units digit of (1 + 4 + 9) = 4. Sufficient
St2: X = 4, P = 5, and R = 6 --> Clearly insufficient as Y, Q and S may take multiple values and units digit differs accordingly.
Answer: A
20 Apr 2016, 15:34
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If XY, PQ, and RS represent unique two-digit integers, what is the units digit of (XY)^2 + (PQ)^2 + (RS)^2?
(1) Y = 1, Q = 2, and S = 3
(2) X = 4, P = 5, and R = 6
To find the units digit of (XY)^2 + (PQ)^2 + (RS)^2, we require the values of Y, Q, S
Statement 1: Sufficient as this gives us information we are looking for.
Statement 2: NS. Only tens digits are given no information about Y,Q or S.
Hence Answer A.
(1) Y = 1, Q = 2, and S = 3
(2) X = 4, P = 5, and R = 6
To find the units digit of (XY)^2 + (PQ)^2 + (RS)^2, we require the values of Y, Q, S
Statement 1: Sufficient as this gives us information we are looking for.
Statement 2: NS. Only tens digits are given no information about Y,Q or S.
Hence Answer A.
