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:

The ratio of the side and height of an equilateral triangle is –

ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If <BEC = 128° and <ECD = 25°, then what is the measure of <BAC?

Directions: Degree- wise breakup of employees working in various department of an organisation and the ratio to men to women.

Respective ratio of men to women in each department

What is the respective ratio of the number of women working in the Marketing department and the number of men working in the Hr department?

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

How many hemispherical balls can be made from a cylinder 56 cm high and 12 cm diameter, when every ball being 0.75 cm in radius? 

if 3sin²θ – cosθ-1=0, 0⁰< θ<90⁰, then what is the value of cot θ + cosec θ?

Direction: The line chart given below shows number of labourers (men and women) working in six different years. Study the data carefully and answer the following questions. 

The total number of Men working in 2012 and 2013 together is what per cent of the total number of labourers (Men + Women) working in 2014?