Let ΔABC ∼ Δ PQR and ar(∆ABC)/ar(∆PQR) =4/25. If AB = 12 cm, BC = 8 cm and AC = 9 cm, then QR is equal to:

If $${{k^2}\over {k^2-2k+1}}={1\over 6}$$, then what is the value of $${1\over k^3}+k3$$ ?

The table given below shows the cost price and selling price of four articles.

What is the average value of loss of all articles?

If $${(2cos^3 A-cosA)\over (sin A- 2 sin^3 A)=1}$$ then what is the value of A?

The bar graph given below shows the production of sugar (in lakh tonnes) by two different companies P and Q for the given years.

J1 = percentage increase in production of sugar of company P from 1991 to 1995.

J2 = percentage increase in production of sugar of company Q from 1992 to 1994.

What is the value of J1 + J2?

If sin A=$${6\over 7}$$, then what is the value of sec A?

A woman buys a watch for Rs. 4,000 and sells it at a loss of 13%. What is the selling price of the watch?

If (a+b)=16 and a³+b³=1456, then what is the value of ab?