The students of a school are made to stand in rows. If the number of students in each row is increased by ^@4^@, there would be ^@2 ^@ rows less. If the number of students in each row is reduced by ^@4^@, there would be ^@3^@ rows more. Find the number of students in the school.
Point ^@P^@ divides the line segment joining the points ^@A(12, 8)^@ and ^@B(16, 4)^@ such that ^@AP = \dfrac{ 1 }{ 4 } AB^@. If ^@ P ^@ lies on the line ^@2x - y + k = 0^@, find the value of ^@k^@.
In the given figure, a circle is inscribed in a ^@ \triangle PQR.^@ ^@ PQ = 8 \space cm, QR = 6 \space cm, ^@ and ^@ PR = 10 \space cm.^@ What is the length of ^@PL^@ ?
There is a right cylindrical vessel of radius 3 cm and height 32 cm which is full of ice-cream. This ice-cream needs to be filled in cones of height 10 cm and radius 3 cm having a hemispherical shape on the top. How many such cones can be filled with ice-cream?
A survey of ^@ 800 ^@ girls of a school was conducted and it was found that ^@144^@ girls like coffee while ^@656^@ dislike it. Out of these girls, one girl is selected at random.
What is the probability that the selected girl likes coffee?
^@SR48000^@ were divided equally among a certain number of persons. Had there been ^@20^@ more persons each would have got ^@SR200^@ less. Find the original number of persons.
In this diagram, the triangle represents women, the square represents lawyers and the circle represents tall. Find the number of lawyers who are not tall.