NUMBER SYSTEM PART 1
PART -1
- A numerical series is given in which a number is wrongly placed. You are asked to identify that particular wrong number.
- A numerical series is given in which a specific number is missing. You are required to find out that missing number.
- A complete numerical series is followed by an incomplete numerical series. You need to solve that incomplete numerical series in the same pattern in which the complete numerical series is given.
- The most common patterns followed by number series are:Series consisting of Perfect Squares:A series based on Perfect squares is most of the times based on the perfect squares of the numbers in a specific order & generally one of the numbers is missing in this type of series.Example:324, 361, 400, 441,?TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOWSol: 324 = 182 , 361 = 192, 400 = 202, 441 = 212, 484 = 222
- Perfect Cube Series:
It is based on the cubes of numbers in a particular order and one of the numbers is missing in the series.Example:512, 729, 1000,?TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOWSol:83, 93, 103, 113- Geometric Series:
It is based on either descending or ascending order of numbers and each successive number is obtained by dividing or multiplying the previous number by a specific number.Example:4, 36, 324, 2916?
TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOW- Arithmetic Series:
It consists of a series in which the next term is obtained by adding/subtracting a constant number to its previous term. Example: 4, 9, 14, 19, 24, 29, 34 in which the number to be added to get the new number is 5. Now, we get an arithmetic sequence 2,3,4,5.- Two-stage Type Series:
In a two step Arithmetic series, the differences of consecutive numbers themselves form an arithmetic series.Example: 1, 3, 6, 10, 15.....
TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOW
Sol:3 - 1 = 2, 6 - 3 = 3, 10 - 6 = 4, 15 - 10 = 5....
Now, we get an arithmetic sequence 2, 3, 4, 5- Mixed Series:
This particular type of series may have more than one pattern arranged in a single series or it may have been created according to any of the unorthodox rules.Example:10, 22, 46, 94, 190,?
TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOWSol:10 x 2 = 20 +2 = 22,
22 x 2 = 44 + 2 = 46,
46 x 2 = 92 + 2 = 94,
94 x 2 = 188 + 2 = 190,
190 x 2 = 380 + 2 = 382.
So the missing number is 382.- Arithmetico –Geometric Series :
As the name suggests, Arithmetico –Geometric series is formed by a peculiar combination of Arithmetic and Geometric series. An important property of Arithmetico- Geometric series is that the differences of consecutive terms are in Geometric Sequence.Example:1, 4, 8, 11, 22, 25, ?
TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOW
Sol :Series Type +3 , X2 ( i.e Arithmetic and Geometric Mixing)
1 + 3 = 4, 4 X 2 = 8, 8 + 3 = 11, 11 X 2 = 22, 22 + 3 = 25, 25 X 2 = 50Geometrico - Arithmetic Series is the reverse of Arithmetico - Geometric Series. The differences of suggestive terms are in Arithmetic Series.
Example: 1, 2, 6, 36, 44, 440, ?
TRY THIS SOLUTION FOR EXAMPLE IN 30 - 50 SEC THEN SEE BELOW
Sol :Series Type - X 2, + 4, X 6, +8 , X 10
1 X 2 = 2, 2 + 4 = 6, 6 X 6 = 36, 36+ 8 = 44, 44 X 10 = 440, 440 + 12 = 452
FOR EXAMPLES----EXAMPLES
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