QA Book

CONTENTS

Averages Allegation & Mixtures Ratio, Proportion & Variation Percentages Profit & Loss Interests & Instalments Time and Work

3 8 11 22 30 38 41

WORKSHOP

51

1 93 46 56 2008

GUNTUR/VIJAYAWADA/VISAKHAPATNAM/ONLINE CLASS/FACEBOOK CLASS

2 93 46 56 2008

GUNTUR/VIJAYAWADA/VISAKHAPATNAM/ONLINE CLASS/FACEBOOK CLASS

AVERAGES Introduction: In IIM-CAT no question is directly asked from this chapter, but in other Management Entrance exams this chapter plays a crucial role. However, this chapter is very important to understand the concepts of Data Interpretation.

5. If each quantity of the given data is divided by “ 1 ” then the new average is the product of the old K 1 average by “ ” K

Concept of Average: In general average is the Central value of the given set of values.

NOTE: If the given set of values is in arithmetic progression then the average of the data is simply the average of the lowest and highest values.

Formula: The average is the arithmetic mean of the given data. If X1, X2, X3 ... Xn are n quantities, then the average of these “n” quantities.

6. If the average age of ‘n’ numbers of family is X years, then K years back the average of the family is (X-K) years.

X 1  X 2  X 3  ...  XN N

PROPERTIES OF AVERAGES 1. The average of two or more quantities always lies between the lowest and highest values of the given data. If X1, X2, X3 ... Xn are N quantities, then the average of these “n” quantities always lies between

XL< X 1  X 2  X 3  ...  XN