For the school assembly, the students are made to stand so that the number of rows is equal to the number of students in each row. If there are 44 rows, how many students were present at the assembly?
Given that ^@\alpha + \beta = 12^@ and ^@\alpha\beta = 32^@, find the value of ^@|\alpha-\beta|^@. If ^@\alpha \space \& \space \beta ^@ are the roots of a quadratic equation.
A ^@14.5 \space m^@ long ladder is leaned against a wall. The ladder reaches the wall to a height of ^@1.7 \space m^@. What is the distance between the wall and the foot of the ladder?
One of the diagonal of following polygon is 40 cm long, and length of perpendiculars dropped on diagonal are 12, 24 cm and 16 cm. Find the area of polygon.
When ^@{ \Bigg ( \dfrac { 3 }{ 2 } \Bigg ) } ^ { -3 } ^@ is divided by ^@x^@, the quotient comes out to be ^@{ \Bigg ( \dfrac { 9 }{ 4 } \Bigg ) } ^ { -1 } ^@. Find the value of ^@x^@.
The graph below shows the temperature (in degrees Celsius) over 10 weeks in BrasÃlia and New York. Find the difference in the temperature of two cities in the week when the difference is minimum.
A book store is selling books normally priced at ^@R$9^@ each, but today they are at ^@16\%^@ off. If the store charges ^@5\%^@ tax, what is the final cost of one book?
From among a group of 3 men, 4 women and 4 children, 4 individuals are selected randomly. What is the probability that exactly 3 among the chosen are children?