A man spend 15% of his income. If his expenditure is Rs.75, his income (in rupees) is:

The value of sin 73⁰ + cos 137⁰ is:

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

A man buys a scooter on making a cash down payment of Rs. 16224 and promises to pay two more yearly installments of equivalent amount in next two years. If the rate of interest is 4% per annum, compounded. yearly, the cash value of the 50 scooter, is:

Find the LCM and HCF of 27 and 81.

The average age of six members of a family is 40 years. If the age of a guest is included, then the average age increases by 12.5%. What is the age (in years) of the guest?

To do a certain work, the ratio of the efficiencies of A and B is 7: 5. Working together, they can complete the same work in $$17{1\over 2}$$ days. A alone will complete 60% of the same work in:

The greatest common factor of two co-prime numbers will be