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\(P\) and \(Q\) are prime numbers less than \(70.\) What is the units digit of \(P\cdot Q?\)
(1) Units’ digit of \(P^{4k+2}-Q\) is equal to \(7,\) where \(k\) is a positive integer.
(2) Units digit of the expression \(PQ+Q\cdot (Q+1)-Q^2\) is a perfect cube.
Answer: E
Source: e-GMAT
(1) Units’ digit of \(P^{4k+2}-Q\) is equal to \(7,\) where \(k\) is a positive integer.
(2) Units digit of the expression \(PQ+Q\cdot (Q+1)-Q^2\) is a perfect cube.
Answer: E
Source: e-GMAT