If x = – 1, then the value of   $$ {1\over x^{99}}+{1\over x^{98}}+{1\over x^{97}}+{1\over x^{96}}+{1\over x^{95}}+{1\over x^{94}}+x $$ is

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X² – 5x + 6 = 0
 II. Y² – y – 6 = 0

Directions : The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions. 

The ratio of total production of Type P vehicles to total production of type Q vehicles over the years is  

Directions: The following pie chart show proportion of population of seven villages in 2009. Stud the pie chart and answer question that follows:

In 2010, the population of 'Y' and 'V' increases by 10% each and the percentage of population below poverty line remains unchanged for all the villages. If in 2009, the population of village Y was 30,000 then the below poverty line population of village 'V' in 2010 is-

Directions: The bar diagram given below shows the productions (in the unit of thousand pieces) of three types of biscuits by a company in the five consecutive years. Study the diagram and answer the following questions.

The percentage drop in the number of glucose biscuits manufactured from 1994 to 1995 is 

A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?

If sin 3A=cos(A+10⁰), where 3A is an acute angel, then what is the value of $$2cosec{3A\over2}+6sin^23A-{3\over 2}tan^2\ 3A$$?

The perimeters of ΔABC and ΔDEF are 43.2 cm and 28.8 cm, respectively, and ΔABC ~ ΔDEF. If DE = 12 cm, then the length of AB is: