2, 7, 19, 43, 99, 209, 431

Correct Answer:

Explanation:

As per the details in the question the series is in the form of
First term = 2
Second term = First term × 1 + 7
? Second term = 2 × 1 + 7 = 2 + 7 = 9 ;
Third term = Second term × 2 - 11
? Third term = 9 × 2 - 11 = 18 - 11 = 5; 5 is wrong. It should be 7 as Third term .
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 15
? Fourth term = 7 × 3 + 15 = 21 + 15 = 36 ;
Fifth term = Fourth term × 4 - 19
? Fifth term = 36 × 4 - 19 = 144 -19 = 125 ;
Sixth term = Fifth term × 5 + 23
? Sixth term = 125 × 5 + 23 = 625 + 23 = 648 ;
Seventh term = Sixth term × 6 - 27
? Seventh term = 648 × 6 - 27 = 3888 - 27 = 3861 .
New series is
First term = 5 × 1 + 7 = 12;
Second term = 12 × 2 - 11 = 13.
Hence Second term of new series is 13 and correct option is ( E ) .

Correct Answer: 122

Explanation:

As per the details in the question the series is in the form of
Next term = Previous term × variable +variable
First term = 11
Second term = First term × 1.5 + 1.5
? Second term = 11 × 1.5 + 1.5 = 18 ;
Third term = Second term × 2 + 2
? Third term = 18 × 2 + 2 = 39 , is wrong . it should be 38 as third term .
Similarly , we can find all others terms also.
Fourth term = Third term × 2.5 + 2.5
? Fourth term = 38 × 2.5 + 2.5 = 97.5 ;
Fifth term = Fourth term × 3 + 3
? Fifth term = 97.5 × 3 + 3 = 295.5 ;
Sixth term = Fifth term × 3.5 + 3.5
? Sixth term = 295.5 × 3.5 + 3.5 = 1037.75 ;
New series is given as -
First term = 39 × 1.5 + 1.5 = 60;
Second term = 60 × 2 + 2 = 122.
Hence Second term of new series is 122.

Correct Answer: 128

Explanation:

As per the details in the question the series is in the form of
Next term = ( Previous term × variable ) + ( 1 + variable )
First term = 1
Second term = First term × 1 + 2
? Second term = 1 × 1 + 2 = 3 ;
Third term = Second term × 2 + 3
? Third term = 3 × 2 + 3 = 9 ;
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 4
? Fourth term = 9 × 3 + 4 = 31 ;
Fifth term = Fourth term × 4 + 5
? Fifth term = 31 × 4 + 5 = 128 , is wrong . it should be 129 as fifth term .
Sixth term = Fifth term × 5 + 6
? Sixth term = 129 × 5 + 6 = 651 ;
Seventh term = Sixth term × 6 + 7
? Seventh term = 651 × 6 + 7 = 3913

Correct Answer: 5.5

Explanation:

As per given above series , it is clear that
Difference between all terms are given as :- 16 ÷ 2 = 8 , 8 ÷ 2 = 4 , 4 ÷ 2 = 2 , 2 ÷ 2 = 1 , 1 ÷ 2 = 0.5 .
First term = 36
Second term = First term - 16
? Second term = 36 - 16 = 20 ;
Third term = Second term - 8
? Third term = 20 - 8 = 12 ;
Similarly , we can find all others terms also.
Fourth term = Third term - 4 = 12 - 4 = 8 ;
Fifth term = Fourth term - 2 = 8 - 2 = 6 ;
Sixth term = Fifth term - 1 = 6 - 1 = 5.5; 5.5 is wrong. It should be 5 .
Seventh term = Sixth term - 0.5 = 5 - 0.5 = 4.5
Hence, 5.5 is wrong. It should be 5 as Sixth term .

Correct Answer: 167.5

Explanation:

The given series is in the below pattern,
First term = 3
Second term = First term × 2.5
? Second term = 3 × 2.5 = 7.5 ;
Third term = Second term × 2
? Third term = 7.5 × 2 = 15 ;
Fourth term = Third term × 2.5
? Fourth term = 15 × 2.5 = 37.5 ;
Fifth term = Fourth term × 2
? Fifth term = 37.5 × 2 = 75 ;
Sixth term = Fifth term × 2.5
? Sixth term = 75 × 2.5 = 167.5; 167.5 is wrong. It should be 187.5.
Seventh term = Sixth term × 2
? Seventh term = 187.5 × 2 = 375 ;
Hence, 167.5 is wrong. It should be 187.5.

Correct Answer: 18

Explanation:

From above given series , we can see that
Next term = Previous term × variable + variable²
First term = 1
Second term = First term × 1 + 1²
? Second term = 1 × 1 + 1² = 1 + 1 = 2 ;
Third term = Second term × 2 + 2²
? Third term = 2 × 2 + 2² = 4 + 4 = 6; 6 is wrong. It should be 8. Here, 6 is the wrong number.
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 3²
? Fourth term = 8 × 3 + 3² = 24 + 9 = 33 ;
Fifth term = Fourth term × 4 + 4²
? Fifth term = 33 × 4 + 4² = 132 + 16 = 148 ;
Sixth term = Fifth term × 5 + 5²
? Sixth term = 148 × 5 + 5² = 740 + 25 = 765 ;
Seventh term = Sixth term × 6 + 6²
? Seventh term = 765 × 6 + 6² = 4590 + 36 = 4626 .
New series is given as :-
First term = wrong term × 1 + 1² = 6 × 1 + 1² = 7;
Second term = wrong term × 1 + 1² = 6 × 2 + 2² = 16.
Hence Second term of new series is 16 .

Correct Answer: IRJQP

Explanation:

From given figure , it is clear that
On adding 2 and subtracting 2 alternately in fourth term of given series .
We get , The next term of above given series is IRJQP .

Correct Answer: YXW

Explanation:

From given figure , it is clear that
On adding 2 in Each letter of given series .We get , The next term of above given series is YXW.
Hence the correct option will be B .

Correct Answer: JQ

Explanation:

The given series is in the below pattern,
1st letter moves +2, +3 and +4 steps respectively.
2nd letter moves ?2, ?3 and ?4 steps respectively.
Hence the place value of ? is JQ .

Correct Answer: SXI

Explanation:

As per the details in the question the series is in the form of
The first letters of the terms are in alphabetical order, and so are the second and third letters.
Hence required answer will be SXI .