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- Question
- 3 , 2 , 3 , 6 , 12 , 37.5 , 115.5
Options- A. 37.5
- B. 3
- C. 6
- D. 2
- Correct Answer
-
ExplanationThe given series is in the below pattern,we can see that
Next term= ( Previous term × variable ) + variable
First term = 3
Second term = ( First term × variable ) + 0.5 = ( 3 x 0.5 ) + 0.5 = 2
Third term = ( Second term × variable ) + 1 = ( 2 x 1 ) + 1 = 3
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × variable ) + 1.5 = ( 3 × 1.5 ) + 1.5 = 6 ;
Fifth term = ( Fourth term × variable ) + 2 = ( 6 × 2 ) + 2 = 12 ; 12 is wrong. It should be 14.
Sixth term = ( Fifth term × variable ) + 2.5 = (14 × 2.5 ) + 2.5 = 37.5 ;
Seventh term = ( Sixth term × variable ) + 3 = ( 37.5 × 3 ) + 3 = 115.5
Hence, 12 is wrong. It should be 14. - 1. 1 , 3 , 4 , 7 , 11 ,18 , 27 , 47
Options- A. 4
- B. 11
- C. 18
- D. 7 Discuss
- 2. 529, 841, 961, 1296, 1681, 1849, 2209
Options- A. 1296
- B. 841
- C. 961
- D. 1681 Discuss
- 3. 13, 14, 27, 45, 68, 109, 177
Options- A. 27
- B. 109
- C. 45
- D. 68 Discuss
- 4. 4, 28, 160, 990, 6970,55832, 502560
Options- A. 160
- B. 990
- C. 55832
- D. 6970 Discuss
- 5. 2, 3, 4, 4, 6, 8, 9, 12, 16
Options- A. 3
- B. 6
- C. 9
- D. 12 Discuss
- 6. 2 , 3 , 11 , 38 ,102 , 229 , 443
Options- A. 11
- B. 229
- C. 120
- D. 38 Discuss
- 7. 2807, 1400, 697, 347, 171, 84, 41, 20
Options- A. 697
- B. 347
- C. 371
- D. 84 Discuss
- 8. 2 , 3 , 5 , 8 , 14 , 23 , 41, 69
Options- A. 5
- B. 8
- C. 14
- D. 41 Discuss
- 9. 3 , 7. 5 ,15 , 37.5 , 75 ,167.5 , 375
Options- A. 167.5
- B. 75
- C. 37.5
- D. 15 Discuss
- 10. 36 , 20 , 12 , 8 , 6 , 5.5 , 4.5
Options- A. 5.5
- B. 6
- C. 12
- D. 20 Discuss
Number Series problems
Search Results
Correct Answer:
Explanation:
As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
? First term + Second term = Third term
? 1 + 3 = 4 ;
Second term + Third term = Fourth term
? 3 + 4 = 7 ;
Third term + Fourth term = Fifth term
? 4 + 7 = 11 ;
Fourth term + Fifth term = Sixth term
? 7 + 11 = 18 ;
Fifth term + Sixth term = Seventh term
? 11 + 18 = 27 is wrong. It should be 29.
Sixth term + Seventh term = Eighth term
? 18 + 29 = 47
Hence, 27 is wrong. It should be 29.
Correct Answer: 1296
Explanation:
All nos, in the given series are squeres of odd nos, except 1296
1296 = (36)2
Correct Answer: 45
Explanation:
13 + 14 = 27
14 + 27 = 41
27 + 41 = 68
41 + 68 = 109
68 + 109 = 117
So, 45 is the wrong number in this series.
Correct Answer: 6970
Explanation:
4 x 4 + (4 x 3) = 28
28 x 5 + (5 x 4) =160
160 x 6 + (6 x 5) = 990
990 x 7 + (7 x 6) = 6972
6972 x 8 + (8 x 7) = 55832
55832 x 9 + (9 x 8) = 502560
Correct Answer: 9
Explanation:
Pattern is : the series is the combination of three series -each term is twice the preceding term.
(i) 1st, 4st, 7st term i. e 2,4,9,.......
(ii) 2st, 5st, 8st term i, e 3,6,12.....
(iii) 3st, 6st, 9st 4,8,16......
So, 9 is wrong.
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: 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:
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: 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: 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 .
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