Two compass needles are placed near a current carrying wire at points P and Q as shown(see figure). Then: a)their needles will not deflect b)needle at P only will deflect c)both the needles will deflect in same direction. d)the needles will deflect in opposite directions....Please give reason.

Magnetic field due to wire is circular with wire passing throufh the center of circle.

In above fig field line will be coming out  of page at point P and going into the page at point Q

So needle at P will point toward you (i.e. out of page) and at Q it will point into the page.Therefore d) is the correct option.