For the following questions answer them individually
The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs.50 per month, then their monthly incomes are:
What is the value of ‘a’ in the below equation?
$$\left\{\left(5 \times 5 \times 5 \times 5 \times 5 \times 5\right)^{5} \times \left(5 \times 5 \times 5 \times 5 \times 5\right)8\right\} \div \left(5 \times 5\right) = \left(625\right)^{a}$$
How many of the following numbers are divisible by 156?
312, 620, 936, 1402, 1872, 3216, 7176, 8108.
The value of $$\frac{(x-y)^{3}+(y-z)^{3}+(z-x)^{3}}{({x^{2}-y^{2})^{3}+ (y^{2}-z^{2})+(z^{2}-x^{2})^{3}}}$$ where x $$\neq$$ y $$\neq$$ z, is:
The value of ($$\sin^{4} 45^{\circ}+ \cos^{4} 60^{\circ}) + (\tan^{4} 45^{\circ}+ \cot^{4} 45^{\circ}$$) is:
The population of four villages in 4 years is presented in the following table.
What is the percentage increment in the population of village A in 202 1 as compared to the population in the year 2018?
(Correct up to two decimal place.)
A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?
A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. What will a customer have to pay in cash for a jacket of Rs.3,600?
12 men or 20 boys can finish a work in 10 days. What part of the same work will be done by 4 men and 4 boys in 4 days?
Find the difference between the simple interest and the compound interest payable annually on a sum of Rs.6,500 at 7% per annum for 3 years. (Correct to two decimal places.)