Number Series
Direction: In each of the following questions a number series is given. A number is given after the series and then (a), (b), (c), (d) and (e) are given. According to the given series, you have to form a new series which begins with the given number, and then answer the question asked.
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2 3 7 25 121 721 3 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (c) ?
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The given series is in the below pattern ,
First series :-
First term = 2
Second term = First term × 2 - 1 = 3
Third term = Second term × 3 - 2 = 7
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 2 - 1 = 5
Third term = Second term × 3 - 2 = 13Correct Option: B
The series is × 2 –1, × 3 – 2, × 4 – 3,.....
The given series is in the below pattern ,
First series :-
First term = 2
Second term = First term × 2 - 1
⇒ Second term = 2 × 2 - 1 = 3
Third term = Second term × 3 - 2
⇒ Third term = 3 × 3 - 2 = 7
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 2 - 1
⇒ Second term = 3 × 2 - 1 = 5
Third term = Second term × 3 - 2
⇒ Third term = 5 × 3 - 2 = 13
Fourth term = Third term × 4 - 3
⇒ Fourth term = 13 × 4 - 3 = 49
Hence , the place value of ( c ) is 49 .
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6 10 32 126 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (a) ?
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The series is × 2 – 2, × 3 + 2, × 4 – 2,...
The given series is in the below pattern ,
First series :-
First term = 6
Second term = First term × 2 - 2 = 10
Third term = Second term × 3 + 2 = 32
similarly , we can calculate the all next terms .
Second series :-
First term = 2
Second term = First term × 2 - 2
Third term = Second term × 3 + 2Correct Option: C
The given series is in the below pattern ,
First series :-
First term = 6
Second term = First term × 2 - 2
⇒ Second term = 6 × 2 - 2 = 10
Third term = Second term × 3 + 2
⇒ Third term = 10 × 3 + 2 = 32
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 2
Second term = First term × 2 - 2
⇒ Second term = 2 × 2 - 2 = 2
Hence , the place value of ( a ) is 2 .
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7 4 5 9 20 52.5 3 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (c) ?
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As per the details in the question the series is in the form of
First series :-
First term = 7
Second term = First term × 0.5 + 0.5 = 4
Third term = Second term × 1 + 1 = 5
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 0.5 + 0.5 = 2
Third term = Second term × 1 + 1 = 3Correct Option: C
As per the details in the question the series is in the form of
First series :-
First term = 7
Second term = First term × 0.5 + 0.5
⇒ Second term = 7 × 0.5 + 0.5 = 4
Third term = Second term × 1 + 1
⇒ Third term = 4 × 1 + 1 = 5
similarly , we can find the all others terms .
Second series :-
First term = 3
Second term = First term × 0.5 + 0.5
⇒ Second term = 3 × 0.5 + 0.5 = 2
Third term = Second term × 1 + 1
⇒ Third term = 2 × 1 + 1 = 3
Fourth term = Third term × 1.5 + 1.5
⇒ Fourth term = 3 × 1.5 + 1.5 = 6
Hence , the place value of ( c ) is 6 .
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3 12 30 66 138 282 7 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (b) ?
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As per the details in the question the series is in the form of
First series :-
First term = 3
Second term = First term × 2 + 6 = 12
Third term = Second term × 2 + 6 = 30
similarly , we can calculate the all next terms .
Second series :-
First term = 7
Second term = First term × 2 + 6 = 20
Third term = Second term × 2 + 6 = 46Correct Option: C
As per the details in the question the series is in the form of
First series :-
First term = 3
Second term = First term × 2 + 6
⇒ Second term = 3 × 2 + 6 = 12
Third term = Second term × 2 + 6
⇒ Third term = 12 × 2 + 6 = 30
similarly , we can find the all others terms .
Second series :-
First term = 7
Second term = First term × 2 + 6
⇒ Second term = 7 × 2 + 6 = 20
Third term = Second term × 2 + 6
⇒ Third term = 20 × 2 + 6 = 46
Hence , the place value of ( b ) is 46 .
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4 9 25 103 3 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (c) ?
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The given series is in the below pattern ,
First series :-
First term = 4
Second term = First term × 2 + 1 = 9
Third term = Second term × 3 - 2 = 25
similarly , we can calculate the all next terms .
Second series :-
First term = 3
Second term = First term × 2 + 1 = 7
Third term = Second term × 3 - 2 = 19Correct Option: D
The given series is in the below pattern ,
First series :-
First term = 4
Second term = First term × 2 + 1
⇒ Second term = 4 × 2 + 1 = 9
Third term = Second term × 3 - 2
⇒ Third term = 9 × 3 - 2 = 25
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 3
Second term = First term × 2 + 1
⇒ Second term = 3 × 2 + 1 = 7
Third term = Second term × 3 - 2
⇒ Third term = 7 × 3 - 2 = 19
Fourth term = Third term × 4 + 3
⇒ Fourth term = 19 × 4 + 3 = 79
Hence , the place value of ( c ) is 79 .
