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.
-
1260 628 312 154 788 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d) ?
-
View Hint View Answer Discuss in Forum
As per the details of question is given series in the form of ,
First series :-
First term = 1260
Second term = First term ÷ 2 - 2
⇒ Second term = 1260 ÷ 2 - 2 = 628
Third term = Second term ÷ 2 - 2
⇒ Third term = 628 ÷ 2 - 2 = 312
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 788
Second term = First term ÷ 2 - 2 = 392
Third term = Second term ÷ 2 - 2 = 194Correct Option: B
As per the details of question is given series in the form of ,
First series :-
First term = 1260
Second term = First term ÷ 2 - 2
⇒ Second term = 1260 ÷ 2 - 2 = 628
Third term = Second term ÷ 2 - 2
⇒ Third term = 628 ÷ 2 - 2 = 312
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 788
Second term = First term ÷ 2 - 2
⇒ Second term = 788 ÷ 2 - 2 = 392
Third term = Second term ÷ 2 - 2
⇒ Third term = 392 ÷ 2 - 2 = 194
Fourth term = Third term ÷ 2 - 2
⇒ Fourth term = 194 ÷ 2 - 2 = 95
Fifth term = Fourth term ÷ 2 - 2
⇒ Fifth term = 95 ÷ 2 - 2 = 45.5
Hence , the place value of ( d ) is 45.5 .
-
5 6 16 57 244 1245 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d) ?
-
View Hint View Answer Discuss in Forum
As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 12 = 5 + 1 = 6
Third term = Second term × 2 + 22 = 12 + 4 = 16
similarly , we can calculate the all next terms .
Second series :-
First term = 2
Second term = First term × 1 + 12 = 2 + 1 = 3
Third term = Second term × 2 + 22 = 6 + 4 = 10Correct Option: E
As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 12
⇒ Second term = 5 × 1 + 1 = 6
Third term = Second term × 2 + 22
⇒ Third term = 6 × 2 + 4 = 16
similarly , we can find the all others terms .
Second series :-
First term = 2
Second term = First term × 1 + 12
⇒ Second term = 2 × 1 + 1 = 3
Third term = Second term × 2 + 22
⇒ Third term = 3 × 2 + 4 = 10
Fourth term = Third term × 3 + 32
⇒ Fourth term = 10 × 3 + 9 = 39
Fifth term = Fourth term × 4 + 42
⇒ Fifth term = 39 × 4 + 16 = 172
Hence , the place value of ( d ) is 172 .
-
3 5 9 17 33 65 7 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d) ?
-
View Hint View Answer Discuss in Forum
The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term × 2 - 1 = 5
Third term = Second term × 2 - 1 = 9
similarly , we can calculate the all next terms .
Second series :-
First term = 7
Second term = First term × 2 - 1 = 13
Third term = Second term × 2 - 1 = 25Correct Option: E
The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term × 2 - 1
⇒ Second term = 3 × 2 - 1 = 5
Third term = Second term × 2 - 1
⇒ Third term = 5 × 2 - 1 = 9
similarly , we can find the all others terms .
Second series :-
First term = 7
Second term = First term × 2 - 1
⇒ Second term = 7 × 2 - 1 = 13
Third term = Second term × 2 - 1
⇒ Third term = 13 × 2 - 1 = 25
Fourth term = Third term × 2 - 1
⇒ Fourth term = 25 × 2 - 1 = 49
Fifth term = Fourth term × 2 - 1
⇒ Fifth term = 49 × 2 - 1 = 97
Hence , the place value of ( d ) is 97 .
-
5 8 6 10 7 12 7 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (c) ?
-
View Hint View Answer Discuss in Forum
The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 2 - 2 = 8
Third term = Second term ÷ 2 + 2 = 6
Fourth term = Third term × 2 - 2 = 10
similarly , we can calculate the all next terms .
........... and so on.
Second series :-
First term = 7
Second term = First term × 2 - 2 = 12
Third term = Second term ÷ 2 + 2 = 8
Fourth term = Third term × 2 - 2 = 14Correct Option: A
The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 2 - 2
⇒ Second term = 5 × 2 - 2 = 8
Third term = Second term ÷ 2 + 2
⇒ Third term = 8 ÷ 2 + 2 = 6
Fourth term = Third term × 2 - 2
⇒ Fourth term = 6 × 2 - 2 = 10
similarly , we can find the all others terms .
........... and so on.
Second series :-
First term = 7
Second term = First term × 2 - 2
⇒ Second term = 7 × 2 - 2 = 12
Third term = Second term ÷ 2 + 2
⇒ Third term = 12 ÷ 2 + 2 = 8
Fourth term = Third term × 2 - 2
⇒ Fourth term = 8 × 2 - 2 = 14
Hence , the place value of ( c ) is 14 .
Direction: Which sequence of letters when placed at the blanks one after another will complete the given letter series?
- abca — bcaab — ca — bbc — a
-
View Hint View Answer Discuss in Forum
The given series is in the below pattern , we can see that
The series is abc / aabc / aabbc / aabbcc / a.Correct Option: C
The given series is in the below pattern , we can see that
The series is abc / aabc / aabbc / aabbcc / a.
Hence , required answer will be abac .