3	5	9	17	33	65
7	(a)	(b)	(c)	(d)	(e)
Which of the following numbers will come in place of (d)?

Correct Answer:

Explanation:

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 .

Correct Answer: 45.5

Explanation:

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 .

Correct Answer:

Explanation:

The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 1 + 4
? Second term = 5 × 1 + 4 = 9
Third term = Second term × 2 + 8
? Third term = 9 × 2 + 8 = 26
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 13
Second term = First term × 1 + 4
? Second term = 13 × 1 + 4 = 17
Third term = Second term × 2 + 8
? Third term = 17 × 2 + 8 = 42
Fourth term = Third term × 3 + 12
? Fourth term = 42 × 3 + 12 = 138
Fifth term = Fourth term × 4 + 16
? Fifth term = 138 × 4 + 16 = 568
Sixth term = Fifth term × 5 + 20
? Sixth term = 568 × 5 + 20 = 2860
Hence , the place value of ( e ) is 2860 .

Correct Answer: 17

Explanation:

The given series is in the below pattern,
First term = 16
Second term = First term + 1²
? Second term = 16 + 1² = 17
? ? = 17
Third term = Second term + 2²
? Third term = 17 + 2² = 21
Fourth term = Third term + 3²
? Fourth term = 21 + 3² = 30 ;
Fifth term = Fourth term + 4²
? Fifth term = 30 + 4² = 46 ;
Similarly , we can find all others terms also.
Sixth term = Fifth term + 5²
? Sixth term = 46 + 5² = 71;
Seventh term = Sixth term + 6²
? Sixth term = 71 + 6² = 107
Hence , Second term = 17

Correct Answer: 3

Explanation:

As per the details in the question the series is in the form of
First term = 4
Second term = First term × 0.5
? Second term = 4 × 0.5 = 2
Third term = Second term × 1.5
? Third term = 2 × 1.5 = ?
? ? = 3
Fourth term = Third term × 2.5
? Fourth term = 3 × 2.5 = 7.5 ;
Fifth term = Fourth term × 3.5
? Fifth term = 7.5 × 3.5 = 26.25 ;
Similarly , we can find all others terms also.
Sixth term = Fifth term × 4.5
? Sixth term = 26.25 × 4.5 = 118.125;
Hence , Third term = 3

Correct Answer: 14

Explanation:

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 .

Correct Answer: 4

Explanation:

The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term ÷ 2 + 3.5
? Second term = 3 ÷ 2 + 3.5 = 1.5 + 3.5 = 5
Third term = Second term × 2 + 12
? Third term = 5 × 2 + 12 = 10 + 12 = 22
similarly , we can find the all others terms .
Second series :-
First term = 1
Second term = First term ÷ 2 + 3.5
? Second term = 1 ÷ 2 + 3.5 = 0.5 + 3.5 = 4
Third term = Second term × 2 + 12
? Third term = 4 × 2 + 12 = 8 + 12 = 20
Hence , the place value of ( a ) is 4 .

Correct Answer: 88.5

Explanation:

The given series is in the below pattern ,
First series :-
First term = 17
Second term = First term + 4.5
? Second term = 17 + 4.5 = 21.5
Third term = Second term + 9
? Third term = 21.5 + 9 = 30.5
similarly , we can find the all others terms .
Second series :-
First term = 21
Second term = First term + 4.5
? Second term = 21 + 4.5 = 25.5
Third term = Second term + 9
? Third term = 25.5 + 9 = 34.5
Fourth term = Third term + 13.5
? Fourth term = 34.5 + 13.5 = 48
Fifth term = Fourth term + 18
? Fifth term = 48 + 18 = 66
Sixth term = Fifth term + 22.5
? Sixth term = 66 + 22.5 = 88.5
Hence , the place value of ( e ) is 88.5 .

Correct Answer: 360

Explanation:

As per the details in the question the series is in the form of
First series :-
First term = 2
Second term = First term × 1.5
? Second term = 2 × 1.5 = 3
Third term = Second term × 2
? Third term = 3 × 2 = 6
similarly , we can find the all others terms .
Second series :-
First term = 16
Second term = First term × 1.5
? Second term = 16 × 1.5 = 24
Third term = Second term × 2
? Third term = 24 × 2 = 48
Fourth term = Third term × 2.5
? Fourth term = 48 × 2.5 = 120
Fifth term = Fourth term × 3
? Fifth term = 120 × 3 = 360
Hence , the place value of ( d ) is 360 .

Correct Answer: 24.75

Explanation:

As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 0.25 × 1
? Second term = 5 × 1 + 0.25 × 1 = 5.25
Third term = Second term × 2 + 0.25 × 4
? Third term = 5.25 × 2 + 0.25 × 4 = 11.5
similarly , we can find the all others terms .
Second series :-
First term = 3
Second term = First term × 1 + 0.25 × 1
? Second term = 3 × 1 + 0.25 × 1 = 3.25
Third term = Second term × 2 + 0.25 × 4 = 7.5
? Third term = 3.25 × 2 + 0.25 × 4 = 7.5
Fourth term = Third term × 3 + 0.25 × 9
? Fourth term = 7.5 × 3 + 0.25 × 9 = 24.75
So 24.75 should come in place of (c).