Quantitative Aptitude - Arithmetic Ability Questions

If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2?

What is the value of Sin 30° - Cosec 45°?

Length and breadth of a rectangle are increased by 40% and 70% respectively. What will be the percentage increase in the area of rectangle?

Select the odd letters from the given alternatives.

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 1:5 and length of QR is 15 cm, find ST?

The value of tan80° tan10° + sin270° + sin20∘

What is the difference of the cube and square of the common root of (x2 – 8x + 15) = 0 and (y2 + 2y – 35) = 0?

In ΔPQR, PQ = PR = 18 cm, AB and AC are parallel to lines PR and PQ respectively. If A is the mid-point of QR, then what is the perimeter (in cm) of quadrilateral ABPC?