Three people go for a morning walk together. Their steps measure 45 cm, 70 cm and 85 cm respectively. What is the minimum distance each of them will cover before they meet again assuming that their walking speed is same?
If the sum of the product of the zeros taken two at a time of the polynomial ^@f(x) = 3x^ { 3 }-2x^ { 2 } + 3tx-2^@ is ^@1^@, then the value of ^@t^@ is
Icha is 3 years older than her friend Amelia. Icha's mother is twice as old as Icha and Amelia is twice as old as her brother. The age of Icha's mother is 33 years more than the age of Amelia's brother. Find the ages of Icha and Amelia.
Let ^@a^@ and ^@b^@ be the roots of ^@x^2 + 2007 x + 1 = 0 ^@ and let ^@c^@ and ^@d^@ be the roots of ^@x^2 - 2015 x + 1 = 0^@. Find the value of ^@(a + c)(b + c)(a - d)(b - d)^@.
The perimeters of two similar triangles are ^@ 9 \space cm^@ and ^@36 \space cm^@ respectively. If one side of the first triangle is ^@4 \space cm^@, find the corresponding side of the second triangle.
If ^@ cosec {\space} \theta - sin {\space} \theta = m^@ and ^@sec {\space} \theta - cos {\space} \theta = n^@, then the value of
^@(m^2n)^\frac { 2 } { 3 } + (mn^2)^\frac { 2 } { 3 } ^@ is
In the given figure, ^@ AB ^@ is a chord of length ^@ 9 \space cm ^@ of a circle with center ^@ O ^@ and radius ^@ 5 \space cm ^@. The tangents at ^@ A ^@ and ^@ B ^@ intersect at ^@ P ^@. What is the length of ^@ PA ^@?
A toy is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire toy is 40 mm and the diameter of the toy is 20 mm then choose its correct surface area .
A box contains 4 yellow and 7 white balls. Timoty takes out a ball, puts it back, and then takes out another ball. What is the probability that both balls were yellow?
Following chart shows number of students in a school who got distinction in one of three subjects. Find the number of students who got distinction in English and Physics.