4	5	22	201
12	(a)	(b)	(c)	(d)	(e)
Which of the following numbers will come in place of (d)?

Correct Answer: 21

Explanation:

The given series is in the below pattern ,
First series :-
First term = 12
Second term = First term × 2 + 2
? Second term = 12 × 2 + 2 = 26
Third term = Second term ÷ 2 - 2
? Third term = 26 ÷ 2 - 2 = 11
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 = 16
Third term = Second term ÷ 2 - 2
? Third term = 16 ÷ 2 - 2 = 6
Fourth term = Third term × 3 + 3
? Fourth term = 6 × 3 + 3 = 21
Hence , the place value of ( c ) is 21.

Correct Answer:

Explanation:

As per the details in the question the series is in the form of
First series :-
First term = 10
Second term = First term + 1²
? Second term = 10 + 1² = 10 + 1 = 11
Third term = Second term + 2²
? Third term = 11 + 2² = 11 + 4 = 15
similarly , we can find the all others terms .
Second series :-
First term = 6
Second term = First term + 1²
? Second term = 6 + 1² = 6 + 1 = 7
Third term = Second term + 2²
? Third term = 7 + 2² = 7 + 4 = 11
Fourth term = Third term + 3²
? Fourth term = 11 + 3² = 11 + 9 = 20
Hence , the place value of ( c ) is 20 .

Correct Answer: 244

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 + 1²
? Second term = 2 × 1 + 1 = 2 + 1 = 3
Third term = Second term × 2 + 2²
? Third term = 3 × 2 + 4 = 6 + 4 = 10
similarly , we can find the all others terms .
Second series :-
First term = 5
Second term = First term × 1 + 1²
? Second term = 5 × 1 + 1 = 5 + 1 = 6
Third term = Second term × 2 + 2²
? Third term = 6 × 2 + 4 = 12 + 4 = 16
Fourth term = Third term × 3 + 3²
? Fourth term = 16 × 3 + 9 = 57
Fifth term = Fourth term × 4 + 4²
? Fifth term = 49 × 4 + 16 = 244
Hence , the place value of ( d ) is 244 .

Correct Answer: 30

Explanation:

The given series is in the below pattern ,
First series :-
First term = 3
Second term = First term × 1 + 7 × 1
? Second term = 3 × 1 + 7 × 1 = 3 + 7 = 10
Third term = Second term × 2 + 6 × 2
? Third term = 10 × 2 + 6 × 2 = 20 + 12 = 32
similarly , we can calculate the all next terms .
Second series :-
First term = 2
Second term = First term × 1 + 7 × 1
? Second term = 2 × 1 + 7 × 1 = 2 + 7 = 9
Third term = Second term × 2 + 6 × 2
? Third term = 9 × 2 + 6 × 2 = 18 + 12 = 30
Hence , the place value of ( b ) is 30 .

Correct Answer: ZKW

Explanation:

As per the details in the question the series is in the form of
From given figure , it is clear that
Hence the place value of ? is ZKW .

Correct Answer: 112

Explanation:

The given series is in the below pattern ,
First series :-
First term = 25
Second term = First term + 11²
? Second term = 25 + 11² = 25 + 121 = 146
Third term = Second term - 9²
? Third term = 146 - 9² = 146 - 81 = 65
similarly , we can calculate the all next terms .
Second series :-
First term = 39
Second term = First term + 11²
? Second term = 39 + 11² = 39 + 121 = 160
Third term = Second term - 9²
? Third term = 160 - 9² = 160 - 81 = 79
Fourth term = Third term + 7²
? Fourth term = 79 + 7² = 79 + 49 = 128
Fifth term = Fourth term - 5²
? Fifth term = 128 - 5² = 128 - 25 = 103
Fifth term = Fourth term - 5²
? Sixth term = 103 + 3² = 103 + 9 = 112
So 112 should come in place of (e).

Correct Answer: 92.5

Explanation:

As per the details in the question the series is in the form of
First term = 1
Second term = ( First term × Variable ) + Variable = 2
Third term = ( Second term × Previous Variable + 0.5 ) + Previous Variable + 0.5 = 4.5
Similarly we can find the all others terms
Second term = ( 1 × 1 ) + 1 = 2
Third term = ( 2 × 1.5 ) + 1.5 = 4.5
Fourth term = ( 4.5 × 2 ) + 2 = 11
Fifth term = (11 × 2.5 ) + 2.5 = 30
Sixth term = ( 30 × 3 ) + 3 = 92.5 , 93 should be sixth term because ( 30 × 3 ) + 3 = 93
So 92.5 is wrong. we get 93 as 6th term.
Seventh term = ( 93 × 3.5 ) + 3.5 = 325.5 + 3.5 = 329.

Correct Answer: 32

Explanation:

The Order of above given series is
First term + Second term = Third term
? 2 + 5 = 7;
Second term + Third term = Fourth term
? 5 + 7 = 12;
Third term + Fourth term = Fifth term
? 7 + 12 = 19;...
Fourth term + Fifth term = Sixth term
? 12 + 19 = 32 , 31 should be 6th term because 12 + 19 = 31
So 32 is wrong. we get 31 as 6th term.
Fifth term + Sixth term = Seventh term
? 19 + 31 = 50

Correct Answer: 3002

Explanation:

The given series is in the below pattern,
? First term = 2
Second term = First term × 7
? Second term = 2 × 7 = 14
Similarly we can find the all others terms also.
Third term = Second term × 6.5
? Third term = 14 × 6.5 = 91
Fourth term = Third term × 6
? Fourth term = 91 × 6 = 546
Fifth term = Fourth term × 5.5
? Fifth term = 546 × 5.5 = 3002 is wrong , So 3003 should be Fifth term because ( 546 × 5.5 ) = 3003 .
Sixth term = Fifth term × 5
? Fifth term = 3003 × 5 = 15015.

Correct Answer: 124

Explanation:

The given series is in the below pattern,we can see that
Next term ( T_n ) = n³ - 1 { where , putting n = 1 , 2 , 3 , 4 , 5 respectively }
First term = T₁ = 1³ - 1 = 0
Second term = T₂ = 2³ - 1 = 7
Similarly we can find the all others terms
Third term = 26
Fourth term = 63
Fifth term( ? )= 124
Hence we get the value of ? = 124