Quantitative Aptitude - Arithmetic Ability Questions

The value of 1+tan2∅(1-sin2∅) is

In triangle PQR, the sides PQ and PR are produced to A and B respectively. The bisectors of ∠AQR and ∠BRQ intersect at point O. If ∠QOR = 50°, then what is the value (in degrees) of ∠QPR?

A table was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs. 7 more, the gain would have been 20%. Find the cost price of the table.

A and B together can do a piece of work in 12 days while A alone can do the same work in 30 days. B alone can do it in

What is the altitude of an equilateral triangle whose side is 12 cm?

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

If cos 135° = x, then the value of x is

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?