Quantitative Aptitude - Arithmetic Ability Questions

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 4:1 and length of QR is 15 cm,what is the length of ST?

What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?

Find the value of '?' in 512 × 125 ÷ 15625 = 3125 × 25?

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

An exterior angle of a triangle is 115 deg and one of the interior opposite angle is 45 deg. Then the other two angles are

If 4x - 5y = -37 and 7x + y = -16, then x - y = ______

Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to

Find the value of  x3 - y3, if x - y = 4 and xy = 12.