Sequence and Series

Find out the missing term:



Ans .

b


  1. Explanation :

    The series is following the pattern +3, +5, +7, +9, +11, +13 and hence the next term should be 48 + 15 = 63. Answer is option (b).





Ans .

a


  1. Explanation :

    The given series is a GP with common ratio 1/4. Hence, option (a) is correct.





Ans .

a


  1. Explanation :

    The series is defined by the 2nd, 7th, 11th term of the alphabet. Hence, the next term would be the 14th term i.e., N. Option (a) is the correct answer.





Ans .

b


  1. Explanation :

    The series follows a pattern of +8, +12, +__, +20. Obviously we need to add 16 for the missing term. Hence, 43 i.e., option (b) is the correct answer.





Ans .

b


  1. Explanation :

    The series follows a pattern of +175, +225, +275, +325. Hence, the first term should be 300, so the answer is option (b).





Ans .

a


  1. Explanation :

    The series is representing the values of 12, 112, 1112, 11112. Hence, the next value would be 111112 = 123454321, so option (a) is the answer.





Ans .

c


  1. Explanation :

    A GP with common ratio 10. Hence, the missing term will be 0.5 i.e., option (c).





Ans .

c


  1. Explanation :

    +1, +4, +9, thus +16 and hence the next term should be 61. Correct answer is option (c).





Ans .

c


  1. Explanation :

    There are two series intermixed with one another. One of the series is placed at the odd places of the series and the other is placed at the even places. The series at the even places of the series is 5, 25, 125 and hence its next term should be 625. Option (c) is correct answer.





Ans .

b


  1. Explanation :

    The logic of the series is –1, –2, –3 and hence –4 should give us 73. So, the answer is option (b).





Ans .

a


  1. Explanation :

    Obviously the answer has to be option (a).





Ans .

d


  1. Explanation :

    There are two series intermingled in the given series of numbers. 1, 5, 11, 19 and the other series is 12, 72, 132 and 192 = 361. Hence, option (d) is the answer.





Ans .

c


  1. Explanation :

    The series follows the pattern of ¥ 7 + 1. Hence, the next number in the series is 253 ¥ 7 + 1 = 1772. Option (c) is the answer.





Ans .

b


  1. Explanation :

    We are consecutively deleting one digit from the left and then one digit from the right and then the next move has to be to delete one digit from the left. Hence, the answer is option (b).





Ans .

a


  1. Explanation :

    The next term is formed by removing the last alphabet in the previous term and attaching it to the first alphabet of the next term. Hence, the next term in the series would be EFGABCD. So, the answer is option (a).





Ans .

c


  1. Explanation :

    The relationship followed in each bracket is the fourth power of the first digit in the bracket. Hence, option (c) is correct.





Ans .

b


  1. Explanation :

    256,1024,4096,16384. Option (b) is correct.





Ans .

a


  1. Explanation :

    The series follows a logic of –16, –8, –4, –2, –1. Hence, the next term in the series would be 9 – 0.5 = 8.5. Correct answer is option (a).





Ans .

c


  1. Explanation :

    The addition between various terms of the series follows a logic of 7 ¥ 3, 7 ¥ 6, 7 ¥ 10. Hence, the next addition should be 7 ¥ 15. Hence, the next term in the series would be 140 + 105 = 245. So, the answer is option (c).





Ans .

d


  1. Explanation :

    The series represents 93,113,133 and hence the next term should be 153; correct answer is (d).





Ans .

d


  1. Explanation :

    GP with common ratio 4. Hence, the next term would be 179.2 i.e., option (d).





Ans .

a


  1. Explanation :

    The formula for the n th term can be easily verified from the given terms of the series. Option (a) is correct.





Ans .

c


  1. Explanation :

    The series follows the logic of –50, –100, –150 and hence the next term of the series should be 300 – 200 = 100. Correct answer is option (c).





Ans .

a


  1. Explanation :

    Beginning with 6, each term of the series is the sum of the previous 3 terms. Hence, the next term would be 125. So, the answer is option (a).





Ans .

c


  1. Explanation :

    AP with common difference 12. Hence, the unknown term is 12. So option (c) is the answer.





Ans .

d


  1. Explanation :

    AP with common difference 5. Hence, 15 th term is 71. Answer is option (d).





Ans .

b


  1. Explanation :

    +7, +19, +37, +61. Hence, the next term in the series would be 121 + 91 = 212, answer is (b).





Ans .

c


  1. Explanation :

    We are consecutively adding increasing powers of 6. Hence, option (c) is correct.





Ans .

b


  1. Explanation :

    The first negative term will be –5 (11th term). Hence, option (b) is the answer.





Ans .

c


  1. Explanation :

    The numerator is represented by n2 and the denominator is represented by n3. Hence, the next term in the series would be 36/216, option (c) is the answer.





Ans .

c


  1. Explanation :

    Two series are intermixed. 1, 2, 3, 4, 5, 6 and 3, 5, 7, 9, 11. Hence, the next term should be 13. So option (c) is the answer.





Ans .

a


  1. Explanation :

    The general term of the series is nn. Hence, the next term in the series would be 44 = 256. Option (a) is the answer.





Ans .

b


  1. Explanation :

    The next term in the series would be FGJ. Hence, option (b) is the answer.





Ans .

c


  1. Explanation :

    The given series starts with the last 4 alphabets of the English language and then gives a break of 2 alphabets, followed by the next four alphabets and so on. Hence, the next term in the series would be H (after skipping J and I). So option (c) is the answer.





Ans .

b


  1. Explanation :

    On close observation of the series you will realise that every subsequent term reduces in value from the previous term. Hence, by estimating values we can estimate that the sum of this series to infinite terms would be 16. The correct answer is option (b).





Ans .

b


  1. Explanation :

    Two series are intermingled with each other as 1, 3, 5, 7, 9, 11 and 22, 32, 42, 52, 62. Hence,the next term in the series would be 72 = 49, so the correct answer is option (b).





Ans .

d


  1. Explanation :

    Infinite GP with common ratio 1/4 . Hence, Sum to infinity = 1/(3/4) = 4/3. Answer is option (b).





Ans .

d


  1. Explanation :

    GP with common ratio 1/5. Hence, option (d) is correct.





Ans .

d


  1. Explanation :

    The series follows the logic of –4, –9, –16 and hence the missing term must be 271 – 25 = 246. So option (d) is correct.





Ans .

d


  1. Explanation :

    The series follows the logic of +3, +4, +5, +6 and +7. Hence, the missing term would be 19 + 5 = 24. So option (d) is the correct answer.



Directions for Questions 41 to 47: In each of the following number series a wrong number is given. Find out the wrong number.



Ans .

b


  1. Explanation :

    Obviously 30 is the misplaced number because all other terms are in a reducing series here. Option (b) is correct.





Ans .

c


  1. Explanation :

    The logic followed in this series is 4 ¥ 5 + 6 = 26; 26 ¥ 6 +7 = 163; 163 ¥ 7 + 8 =1149; 1149 ¥ 8 + 9 = 9201. Only the last number in the series (82809) breaks this trend. Instead the correct value should have been 9201 ¥ 9 + 10 = 82819. Thus, Option (c) is correct.





Ans .

a


  1. Explanation :

    The logic followed in this series is 39 ¥ 7 – 4 = 269; 269 ¥ 6 – 9 = 1605; 1605 ¥ 5 –16 = 8009; 8009 ¥ 4 – 25 = 32011. Only the movement from 4 to 39 is unexplained by this trend. Thus, 4 is the incorrect number in the series. Option (a) is correct.





Ans .

d


  1. Explanation :

    The logic of this series is that the sum of two numbers makes the third one in the series. This we can observe by seeing 28+84=112, 84+112=196 and so on. The only number that does not satisfy this logic is 308 +504, which should be 812 and not 872. Thus, 872 is the wrong number in the series.





Ans .

c


  1. Explanation :

    The logic is 14 ¥ 4 – 36 = 20; 20 ¥ 6 + 49 =169; 169 ¥ 8 –64 = 1288, 1288 ¥ 10 + 81 = 12961; 12961 ¥ 12 –100 = 155532. Obviously, the incorrect value in the series is 369 and Option (c) is the correct answer.





Ans .

c


  1. Explanation :

    The logic of the series is 14400 ¥ 1⁄2 = 7200, 7200 ¥ 2/3 = 4800, 4800 ¥ 3/4 = 3600, 3600 ¥ 4/5 = 2880. Obviously the number 2800 is out of place. Option (c) is correct.





Ans .

c


  1. Explanation :

    The logic of the additions are 121,171, 221, 291, 361 and so on. Thus, the number series should be 300, 421, 592, 813, 1104,1465. The number 815 is misplaced in the above series and hence Option (c) is incorrect.





Ans .

a


  1. Explanation :

    T7 is the only instance of a consonant followed by a number and not preceded by a number. Option (a) is correct.





Ans .

b


  1. Explanation :

    5N% is the only instance of a consonant either followed by a symbol or preceded by a vowel but not both. Option (b) is correct.





Ans .

d


  1. Explanation :

    The fifteenth from the left is ‘2’ while the 7th to the left of 2 is ‘7’ itself. Option (d) is correct.





Ans .

c


  1. Explanation :

    EGJNS follows the skipping of 1, 2, 3 & 4 letters respectively as we can see in: EFGHIJKLMNOPQRS





Ans .

b


  1. Explanation :

    Hence, option (c) is the correct answer. There are three series in the sequence. The numbers to the left of the letter— 16, 18, 21, 25 are increasing continuously by 1 more than the previous increase, i.e., the series of increases in these numbers are + 2, +3, +4 and the next number should be +5; thus 25 +5=30. The letters DGKP form a series where 2, 3 and 4 letters are skipped every time. Hence, the next letter would be V. Similarly, 7, 10, 14, 19 would give 25 as the next term. Thus, the correct answer would be 30V25 option (b).



Directions Questions 53 to 55: Complete the following series:



Ans .

c


  1. Explanation :

    For the first alphabet add 6 to the position number to get the next first alphabet of the next element of the series and for the second alphabet subtract 6 from the position and we’ll get the required number. Option (c) is correct.





Ans .

a


  1. Explanation :

    For the first alphabet we jump from one alphabet to the next alphabet and then to the alphabet right before the first jump. The numbers move with a gap of 2,3,4... .For the last alphabet count from Z leaving one alphabet in the count. G11T would be correct. Option (a) is correct.





Ans .

d


  1. Explanation :

    It is a repetition of the string: anebb. The missing alphabets in the blanks are: bnabe. Option (d) is correct.





Ans .

d


  1. Explanation :

    Since, Bali’s count from the left goes up by 8, Moti’s count from the right would go down by 8 too. Option (d) is correct.





Ans .

d


  1. Explanation :

    All the numbers in the series are perfect cubes. 999 is not a cube of any natural number. Hence, Option (d) does not belong to the series.





Ans .

b


  1. Explanation :

    M13 & O15 should be the correct terms. Option (b) is correct





Ans .

d


  1. Explanation :

    A gap of two days is there in receiving and the disposal of the application. Thursday would be the correct answer option (d).





Ans .

b


  1. Explanation :

    We are looking for the 19th letter from the right in the series: MLKJIHGFEDCBA NOPQRSTUVWXYZ. The letter would be F as can be counted from the above series. Option (b) is correct.