Tatiana and George are racing on a circular track. If Tatiana takes 48 minutes and George takes 40 minutes to complete the round. If they both start at the same point at the same time and go in same direction, after how many minutes will they meet again at the start point?
Find the values of ^@p^@ and ^@q^@ for which the following pair of linear equations have an infinite number of solutions:@^2x + 7y = 4, (p + q)x + (p - q)y = (2p - 20)@^
A.
^@\begin{aligned}p = 17 \text{ and } & q = -12\end{aligned}^@
B.
^@\begin{aligned}p = 20 \text{ and } & q = -10\end{aligned}^@
C.
^@\begin{aligned}p = 18 \text{ and } & q = -10\end{aligned}^@
D.
^@\begin{aligned}p = 18 \text{ and } & q = -7\end{aligned}^@
Alex buys a number of notebooks for ^@€60^@. If he had bought ^@2^@ more notebooks for the same amount, each notebook would have cost ^@€1^@ less. How many notebooks did he buy?
Two poles of equal heights are standing opposite to each other on either side of the road which is ^@ 20 \space meters ^@ wide. From a point between them on the road, the angles of elevation of the top of the poles are ^@ 30^\circ ^@ and ^@ 45^\circ ^@ respectively. Find the height of the poles.
In a two digit number,its unit's digit is 6 more than ten's digit. If sum of this number and the number obtained by reversing the order of its digits is 110, find the number.
In this diagram, the triangle represents women, the square represents lawyers and the circle represents tall. Find the number of women who are tall but not lawyers.
Europe
