AND-NOT-AND

If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R:

A=−54
B=−50
C=42
D=100
E=252

Correct answer:

x = ABD

Step-by-step explanation:

P={,4,2,0,2,4,6,.} Q={,6,3,0,3,6,9,.} R={,14,7,0,7,14,21.}  A=54 = 2 × 33  PQR B=50 = 2 × 5 × 5 = 2 × 52 PQR C=42 = 2 × 3 × 7 D=100 = 2 × 2 × 5 × 5 = 22 × 52 PQR E=252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7  x=ABD



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