In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

Anuja owns $$66{2\over 3}\%$$ of a property. If 30% of the property that she owns is worth 1,25,000, then 45% of the value (in) of the property is:

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

In a circle with centre O, BC is a chord. Points D and A are on the circle, on the opposite side of BC, such that ∠DBC = 28° and BD = DC. What is the measure of ∠BOC?

A and B start moving towards each other from places X and Y, respectively, at the same time on the same day. The speed of A is 20% more than that of B. After meeting on the way, A and B take p hours and 72 hours, respectively, to reach Y and X, respectively. What is the value of p?

The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:

The compound interest on a sum of ₹5,500 at 15% p.a. for 2 years, when the interest is  compounded 8 monthly, is:

X and Y enter into a partnership with capital in the ratio 3: 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in lakhs) of X in the annual profit of 6.84 lakhs?