2	3	10	39	172	885
5	(a)	(b)	(c)	(d)	(e)
Which of the following numbers will come in place of (d)?

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: MNOP

Explanation:

The number of letters in the terms goes on increasing by one at each step. Also, there is a gap of one letter between the last letter of the first term and first letter of the second term and a gap of two letters between the last letter of the second term and first letter of the third term. So, the first letter of the required term would be four steps ahead of the last letter of the third term.
The order of above series given as -
A, CD, GHI , ( ? ) , UVWXY
1 , 3 4 , 7 8 9 , ( 13 14 15 16 ) , 21 22 23 24 25
So ? = MNOP ? 13 14 15 16
Hence , required answer will be MNOP .

Correct Answer: CFI

Explanation:

As per the details in the question the series is in the form of
All the letters of each term are moved nine steps forward to obtain the corresponding letters of the next term.
So , the next term of given series will be CFI .

Correct Answer: QOL

Explanation:

As per the details in the question the series is in the form of
1st letter moves ?2 steps each time.
2nd letter moves +1, +2, +3, +4 steps respectively.
3rd letter moves +2, +3, steps alternatively.
Hence the required answer is QOL .

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: 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:

The given series is in the below pattern ,
First series :-
First term = 4
Second term = First term × 1² + 1
? Second term = 4 × 1² + 1 = 4 + 1 = 5
Third term = Second term × 2² + 2
? Third term = 5 × 2² + 2 = 20 + 2 = 22
similarly , we can calculate the all next terms .
Second series :-
First term = 12
Second term = First term × 1² + 1
? Second term = 12 × 1² + 1 = 12 + 1 = 13
Third term = Second term × 2² + 2
? Third term = 13 × 2² + 2 = 52 + 2 = 54
Fourth term = Third term × 3² + 3
? Fourth term = 54 × 3² + 3 = 486 + 3 = 489
Fifth term = Fourth term × 4² + 4
? Fifth term = 489 × 4² + 4 = 7824 + 4 = 7828
Hence , the place value of ( d ) is 7828 .

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.