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If \((a^2+b^2+c^2)=125 \) and \(ab+bc+ca=50 \), the value of \(a+b+c= \)
Simplify \(\dfrac{6}{m}-\dfrac{(3-n)}{2mn} \)
Simplify \(\dfrac{3p^2-15p^3q}{12\ p^2q} \)
If \(x+\dfrac{1}{x}=\sqrt5 \), then the value of \(x^3+\dfrac{1}{x^3} \)
If \(a+\dfrac{1}{a}=\dfrac{17}{4} \), then the value of \(a-\dfrac{1}{a}= \)
If \(a+b=2 \) and \((a-b)=10 \). Find the value of \(a^2+b^2 \)
If \(x^2+\dfrac{1}{x^2}=7 \) the value of \(x+\dfrac{1}{x} \) is
If \( (3x+4b)=16\) and \(ab=4 \). The value of \(9a^2+16b^2 \) is
If two cubes of sides 9 cm each are joined end by end then the surface area of cuboid =
If the area of base of a cone \(=154\ cm^2 \) and height is \( 9\ cm\) then the CSA of cone will be
The number of cubical ice pieces of side 3 cm that can be cut from a cube of ice of side 9 cm is
The bricks of dimension \(15\ cm\times25\ cm\times 7\ cm \) required to build a wall of \( 3.5\ cm\times10\ m\times12\ m\) are
How many cubes of edges 6 cm can be cut from a cuboid of \(42\ cm\times36\ cm\times24\ cm \)?
Find the surface area of a cuboid whose dimensions a 25 m, 10 m, 2 m?
The surface area of a cube is \(216\ cm^2 \). Find its volume
On a rainy day 60 mm of rain falls. Find how many cubic meters of water falls on 3 hectares of ground on that day?
The height of a cylinder is 80 cm and diameter of the base is 14 cm. Find the volume of the cylinder
A rectangle piece of paper is 71 cm long and 10 cm wide. A cylinder is formed by rolling the paper along its breadth. Find the volume of the cylinder
Two circular cylinders of equal volume have their height in the ratio of 9 : 16. Find the ratio of their radii
How many coins 1.4 cm in diameter and 0.4 cm thick is to be melted to form right circular cylinder of height 16 cm and diameter 3.5 cm
A right circular cone has height of 12 cm and base diameter 70 cm. Find slant height
A conical tent is of diameter 12 m at the base and height is 8 cm. Find the area of the canvas required in \(m^2 \)
Find the value of \(\left(\dfrac{5}{9}\right)^{-2}\times\left(\dfrac{3}{5}\right)^{-2}\times\left(\dfrac{3}{5}\right)^0 \)
Simplify \(x^2y^2\times x^5y^3 \)
The value of \(\dfrac{4^{-5}\times10^6\times625}{4^{-8}\times4^2} \) is
Evaluate \(\left[\left(\sqrt{\dfrac{2}{3}}\right)^2-\sqrt3]{\dfrac{8}{27}}\right]^{1000} \)
Simplify \((5an^{-2})^{-1} \)
Simplify \(\left(\dfrac{a^{-2}}{b^{-2}}\right)^{-3}\ \left(\dfrac{a^{-3}}{b^{-5}}\right) \)
Simplify \(-(3)^3-(-3)^2+(-2)^2 \)
Ravi and sonu can do a job alone in 20 days and 30 days respectively. In how many days the job will be finished if they work together?
If 4 men reap 40 acres in 30 days. How many acres will 18 men reap in 12 days?
A and B can do a work in 72 days B and C in 120 days, A and C in 90 days. In how many days can A alone do the work?
Find the value of P,Q,R,S \(\times\begin{array}{c} \text{P Q R S} \\ \quad\qquad9 \\\hline \text{S R Q P}\end{array} \)
Find the value of P,Q,R,S \(+\begin{array}{cc}\quad \ \ \ \text{R S}\\ \quad \text{Q R S} \\ \quad \quad\text{Q P R S} \\\hline \quad\text{1 9 8 9}\end{array} \)
X is the sum of the digits of a 3 digit number subtracts from the number which of the following is true?
If x + x + x = 4x. The values of x and y are
The factors of \((1-6z-9z^2) \) are
Factorise \(a^3-2\sqrt2\ b^3 \)
Factorise \(16x^2-25y^2 \)
Factorise \(36x^3y-60x^2yz \)
Which is equal to \(x^3(a-2b)+x^2(a-2b) \)?
What is the range of the date? -6, -8, 0, 3, 2, 0, 1, 5, 4, 4
Data collected shows that 40% of the buyers interested in buying a particular brand of toothpaste. The central angle of the sector of the piechart is
Tally marks are used to find
Size of class 150 – 175 is
72% of 25 students are good at mathematics. How many students are not good at it?
The price of sugar goes up by 20% by what percent must the consumption be reduced so that expenditure does not increase?
If 40% of the number exceeds 25% of the number by 54. The number is
A candidate gets 71% of votes and wins the election by 756 votes. If there are only two candidates. Find the total number of votes
A gets Rs. 5000. He spend 15% on study, 28% on house, 10% as tax. His saving will be