If x+y+z=10, x²+y²+z²=30, then the value of x³+y³+z³-3xyz is _________.

Directions: Read the following data carefully and answer the questions given below:

There are 6300 students in Manipur University in the academic year 2020. The ratio of the boys to the girls in the University is 5 : 4. All the students are enrolled in different indoor activities (Chess, Carom, Debating, Painting, and Quiz) and one student is enrolled in only one indoor activity. The number of boys enrolled in the Painting is 621. The ratio of the number of boys who enrolled in Chess to the number of boys who enrolled in Carom is 5 : 3. 36% of the students are enrolled in Quiz. The number of boys enrolled in Debating is 25% of the total number of boys. The number of girls enrolled in Quiz is 640 which is 150 less than the number of girls enrolled in Carom. The number of girls enrolled in Chess is 186 more than the number of boys enrolled in the same activity. The total number of students enrolled in Painting is 816.

Find the ratio of the number of boys enrolled in Carom to the number of girls enrolled in the same

Out of the given responses, one of the factors of (a² – b² )3 + (b² – c²) 3 + (c² – a²) 3 is

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

Successive discounts of 10% and 10% are equivalent to a single discount of:

A certain sum amounts to ₹15,500 in 2 years at 12% p.a. simple interest. The same sum will amount to what in$$1{1\over 2}$$ years at 10% p.a., if the interest is compounded half yearly (nearest to ₹1)?

Length of rectangle is 80% of diagonal of square of area 1225, then find area of rectangle if it's perimeter is 94√2.

Directions : Given here is a pie chart showing the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions

The percentage increase in the price of gold from the year 2011 to 2013 is