For the following questions answer them individually
What is the Value of $$\frac{0.74 \times 1.23 \times 0.13}{(0.37)^3 + (0.41)^3 - 8(0.39)^3}$$?
If $$\tan (11 \theta) = \cot (7 \theta)$$, then what is the value of $$\sin^2 (6 \theta) + \sec^2 (9 \theta) + \cosec^2 (12 \theta)$$?
The volume of a solid right circular cone is $$600 \pi cm^3$$, and the diameter of its base is 30 cm. The total surface area (in cm$$^2$$) of the cone is:
Study the given graph and answer the question that follows.
Total expenditure of the company in 2016, 2017 and 2018 is what percentage less than the total revenue in the given five years (correct to one decimal place)?
A student was asked to find the value of
$$\left[\frac{4}{9} \div \left(\frac{3}{5} \div \frac{3}{2} \right)\times \frac{9}{25} \right] \times \frac{\left[\frac{2}{3} of \frac{4}{9} \div \left(3 \times \frac{3}{5} of \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} of \frac{5}{6}}$$ His answer was $$\frac{2}{9}$$.
What is the difference between his answer and the correct answer?
Let x be the least number of 4 digits that when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2000 and 2500, then what is the sum of the digits of x?
The total number of students in sections A and B ofa class is 72. The ratio of the number of students in A and B is 7: 5. The average weight(in kg) of the students in section B is 20% more than that of the studentsin section A.If the average weight of all the students in the class is 52 kg, then whatis the average weight (in kg) of the students in section B?
The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save ₹16,000 and ₹26,000, respectively, then what is the difference (in ₹) between their expenditures?
Study the given graph and answer the question that follows.
What is the ratio of the number of workers in the company whose age is 28 years or more but less than 40 years to the number of workers whose age is 40 years or more but less than 52 years?
A field is in the shape of a trapezium whoseparallel sides are 200 m and 400 m long, whereas each of other two sides is 260 m long. What is the area (in m$$^2$$)of the field?