Discussion
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- Question
- 1, 3, 9, 31, 128, 651, 3913
Options- A. 651
- B. 128
- C. 31
- D. 9
- Correct Answer
- 128
ExplanationAs 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 - 1. 36 , 20 , 12 , 8 , 6 , 5.5 , 4.5
Options- A. 5.5
- B. 6
- C. 12
- D. 20 Discuss
- 2. 3 , 7. 5 ,15 , 37.5 , 75 ,167.5 , 375
Options- A. 167.5
- B. 75
- C. 37.5
- D. 15 Discuss
- 3. 2 , 3 , 5 , 8 , 14 , 23 , 41, 69
Options- A. 5
- B. 8
- C. 14
- D. 41 Discuss
- 4. 2807, 1400, 697, 347, 171, 84, 41, 20
Options- A. 697
- B. 347
- C. 371
- D. 84 Discuss
- 5. 2 , 3 , 11 , 38 ,102 , 229 , 443
Options- A. 11
- B. 229
- C. 120
- D. 38 Discuss
- 6. 11 , 18 , 39 , 97.5 , 295.5 ,1037.75
Options- A. 122
- B. 122.5
- C. 123
- D. 124 Discuss
- 7. 2 , 9 , 5 , 36 , 125 , 648 , 3861
Options- A. 12
- B. 11
- C. 75
- D. 72 Discuss
- 8. 2, 7, 19, 43, 99, 209, 431
Options- A. 181
- B. 183
- C. 87
- D. 85 Discuss
- 9. 1 , 2 , 6 , 33 ,148 , 765 , 4626
Options- A. 46
- B. 124
- C. 18
- D. 82 Discuss
- 10. BYCXW, CXDWV, EVFUT, GTHSR,?
Options- A. IRJQP
- B. KPOLN
- C. KPLON
- D. JOKPO Discuss
Number Series problems
Search Results
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:
Explanation:
The series is an alternate series, having
Odd position series :-
First term = 2
Third term = ( First term × 3 ) - 1
? Third term = ( 2 × 3 ) - 1 = 5 ;
Fifth term = ( Third term × 3 ) - 1
? Fifth term = ( 5 × 3 ) - 1 = 14 ;
Seventh term = ( Fifth term × 3 ) - 1
?Seventh term = ( 14 × 3 ) - 1 = 41 ;
Even position series :-
Second term = 3
Fourth term = ( Second term × 3 ) - 1
? Fourth term = ( 3 × 3 ) - 1 = 8 ;
Sixth term = ( Fourth term × 3 ) - 1
? Sixth term = ( 8 × 3 ) - 1 = 23 ;
Eighth term = ( Sixth term × 3 ) - 1
? Eighth term = ( 23 × 3 ) - 1 = 69; 69 is wrong. It should be 68.
Correct Answer: 347
Explanation:
From the given figure , we can see that
First term = 2807
Second term = ( First term - 7 ) ÷ 2 = 1400
Third term = ( Second term - 6 ) ÷ 2 = 697
? Second term = ( 2807 - 7 ) ÷ 2 = 1400 ;
? Third term = ( 1400 - 6 ) ÷ 2 = 697 ;
? Fourth term = ( 697 - 5 ) ÷ 2 = 347; 347 is wrong. It should be 346.
? Fifth term = ( 346 - 4 ) ÷ 2 = 171 ;
? Sixth term = ( 171 - 3 ) ÷ 2 = 84 ;
? Seventh term = ( 84 - 2 ) ÷ 2 = 41 ;
? Eighth term = ( 41 - 1 ) ÷ 2 = 20
Hence, 347 is wrong. It should be 346.
Correct Answer: 229
Explanation:
The given series is in the below pattern,
First term = 2
Second term = First term + 13
? Second term = 2 + 13 = 3 ;
Third term = Second term + 23
? Third term = 3 + 23 = 11 ;
Similarly , we can find the all others terms also.
Fourth term = Third term + 42
? Fourth term = 11 + 33 = 38 ;
Fifth term = Fourth term + 52
? Fifth term = 38 + 43 = 102
Sixth term = Fifth term + 62
? Sixth term = 102 + 53 = 229 ; 229 is wrong. It should be 227.
Seventh term = Sixth term + 72
? Seventh term = 227 + 63 = 443
Hence, 229 is wrong. It should be 227.
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:
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: 87
Explanation:
The given series is in the below pattern,
First term = 2
Second term = ( First term × 2 ) + 3
? Second term = ( 2 × 2 ) + 3 = 7 ;
Third term = ( Second term × 2 ) + 5
? Third term = ( 7 × 2 ) + 5 = 19
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × 2 ) + 7
? Fourth term = ( 19 × 2 ) + 7 = 43 , is wrong.it should be 45 as fourth term .
Fifth term = ( Fourth term × 2 ) + 9
? Fifth term = ( 45 × 2 ) + 9 = 99 ;
Sixth term = ( Fifth term × 2 ) + 11
? Sixth term = ( 99 × 2 ) + 11 = 209 ;
Seventh term = ( Sixth term × 2 ) + 11
? Seventh term = ( 209 × 2 ) + 13 = 431
New series is given as -
First term = 43 × 2 + 3 = 89;
Second term = 89 × 2 + 5 = 181.
Hence Second term of new series is 181.
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 .
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