Quantitative Aptitude - Arithmetic Ability Questions

If 5 - 2x ≥ 4 - x and 3(2 - x) > 2 - 4x; then x can take which of the following values?

Simplify 576b3x2a4z3/36a3b2z

If a-1a=1, then a2 + 1a2 ?

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

What is the value of Sin 30° + Cos 30°?

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

If 3x+22x+1 = a2x+1+bx+2 be an identity, then the value of b