Perspicacious means having a ready insight into and understanding of things, keen-minded, clever, shrewd
Ex: it offers quite a few facts to the perspicacious reporter
Hoodwink means deceive or trick.
Ex: staff were hoodwinked into thinking the cucumber was a sawn-off shotgun
Acumen means the ability to make good judgements and take quick decisions.
Ex: she hides a shrewd business acumen
Distinguishing means characteristic of one thing or person, so serving to identify it; distinctive.
Ex: a house with no distinguishing features
Shrewd means having or showing sharp powers of judgement; astute.
Ex: she was shrewd enough to guess the motive behind his gesture
Thus option (D) is the correct choice.