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If 6logx2 - 3logx3 = 3log50.2, find x.
Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?
The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
Factorize completely ac - 2bc - a\(^2\) + 4b\(^2\)
If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).
Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression
What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?
y is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.
I. Rectangular bars of equal width
II. The height of each rectangular bar is proportional to the frequency of the corresponding class interval.
III. Rectangular bars have common sides with no gaps in between
A histogram is described completely by
A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of Assembly
The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested