A number was increased by 20% and then again it was increased by 20%. By what percent should the increased number be reduced so as to get back the original number?
The incomes of $A$, $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$. If $A$ saves $\dfrac{1}{4}$ of his income, then the savings of $A$, $B$ and $C$ are in the ratio of
A circular wire of radius $7.5\ \text{cm}$ is cut and bent to lie along the circumference of a hoop of radius $120\ \text{cm}$. Find (in degrees) the angle subtended at the hoop’s centre.
Birds on trees $A$ and $B$ say: if $2$ from $B$ move to $A$, numbers are equal; if $2$ from $A$ move to $B$, then $B$ becomes double of $A$. Find numbers on $A,B$.
The area of the equilateral triangle is 49√3 cm². Taking each angular point as centre, circles are drawn with radius equal to half the length of the side of the triangle. Find the area of triangle not included in the circles. (Take
√3 =1.73)
Calculate the area other than the area common between two quadrants of
circles of radius 16 cm each, which is shown as the shaded region in the
figure given.
A cylinder of radius 12cm contains water to a depth of 20cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75cm. The radius of the ball is
A and B can complete a work in 12 days, B and C complete a work in 15 days and C and A can complete a work in 20 days. Find in how many days they all together can complete a work?
A car covers 15 km, 20 km, 30 km and 12 km at speeds of 20 km/hr, 30 km/hr, 40 km/hr and 30 km/hr respectively The average speed of the car for the total journey is:
Two cars travel from city A to city B at speeds of 42 km/hr and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between city A and city B is?