The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:

If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

Find the exact value of cos 120⁰.

The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is:

For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm², then find the length of each of the parallel sides (in cm).

In 5 years, the simple interest on an amount of Rs. X is $$2\over 5$$ of the principal. The rate of interest per annum is:

The probabilities of solving a problem by three students A, B and C are  $$3\over 7$$, $$5\over 9$$ and $$1\over 5$$ respectively. The probability that problem will be solved is: