### APTITUDE PREPARATION: Venn Diagrams

Introduction: A Venn diagram is a diagram that shows all possible logical relations between a finite collections of different sets. These diagrams depict elements as points in the plane, and sets [...]

Introduction: A normal clock shows 12 hours. It has three hands: hour, minute and second hands. Clocks do not follow decimal system. A day has 24 hours; 1 hour = 60 minutes and 1 minute = 60 [...]

Introduction: Selling Price is represented by SP; Cost Price is represented by CP Percentage refers to ‘for 100’; Percentage is represented by % Gain (or) Profit = (SP-CP) … SP > CP Gain % [...]

Introduction: Concept of ratios and simple equations are used to solve problems related to age. The ages are usually given as integers. The difference in ages between individuals remains constant [...]

Direct proportion: Two variables are said to be in directly proportional, if an increase in one variable also increases the other variable by the same extent and vice-versa. Example: Distance [...]

Points to remember: 1. Uniform rate of doing work is assumed 2. If a person can complete a work in n days, he will do (1/n) part of the work in 1 day 3. If tap A can do a work in m time units and [...]

INTRODUCTION: Speed = Distance Travelled/ Time Taken Total distance travelled = Average speed x Time taken 1 km/hr = 1000 / (60 x 60) = (5/18) m/s 1 m/s = (18/5) km/hr If two objects are moving [...]

Ratio: It is the relation with respect to magnitude between two similar quantities. The ratio ‘a’ with respect to ‘b’ may be represented by (a/b) or (a:b). As a general practice, (a/b) is kept [...]

Least Common Multiple (LCM): A number which can be divided without reminder by two or more numbers is called as the LCM of those numbers. Highest Common Factor (HCF): The greatest number that [...]

Simple Interest (SI): It is the amount earned by the principal only. Simple interest earned over a certain period is a fixed percentage of the principal amount. It is calculated by multiplying [...]

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