It consists of questions in which series of numbers are given, which are generally called the terms of the series. These terms follow a certain pattern throughout the series.The candidate is required to study the given series, identify the patterns followed in the series and either complete the given series with the most suitable alternative or find the wrong term in the series.
Before stating with number series, it is important to know about numbers.
Whole Numbers : 0,1,2,3,4,5............
Natural Numbers : 1, 2, 3, 4, 5, 6, 7, 8..........
Even Numbers : 2, 4, 6, 8, 10........
Odd Numbers : 1, 3, 5 , 7, 9, 11...........
Prime Numbers : Have 2 factors only. e.g. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31............
Composite Numbers : Have more than 2 factors. 4, 6, 8, 9, 10, 12.............
Case I: Completing The Given Series By Finding The Missing Term(s)
Illustration: Find the next term in the series: 3, 7, 11, 15, ___
(a) 21 (b) 23 (c) 17 (d) 19
Solution: To Analyse the series we will find the difference between the two terms
7 - 3 = 4, 11 - 7 = 4 , 15 - 11= 4
Clearly, the given sequence follows the pattern : + 4
So the Next Term will be 15 + 4= 19
Answer is: (d)
Sometimes, the difference between the consecutive terms of a series, again form a series. The difference between the consecutive terms of the new series so formed, again form a series. This pattern continues till we attain a uniform difference between the consecutive terms of the series.
Illustration: FInd the missing term in each of the following series:1, 6, 15, ___, 45, 66, 91
(a) 25 (b) 26 (c) 27 (d) 28
Solution: To Analyse the series we will find the difference between the two terms
6 - 1 = 5, 15 - 6 = 9, _______ , _______, 66 - 45 = 21, 91 - 66 = 25
Clearly, the given sequence follows the pattern : + 5, + 9, + 13, + 17, + 21, + 25,......
So, missing term = 15 + 13 = 28. and further 28 + 17 = 45
Answer: Hence, the answer is (d).
Illustration: Find the missing term in the series : 3, 20, 63, 144, 275,?
(a) 354 (b) 468 (c) 548 (d) 554
Solution : As discussed above, we may label the given series as series I and then form series II to IV as shown below:
Series I : 3 20 63 144 275 ?
Series II: 17 43 81 131 ?
Series III: 26 38 50 ?
Series IV: 12 12
Find the missing term: 721, 618, 515, 412, 309, ___________ | |||
Right Option : A | |||
View Explanation |
Find the term : 14 , 27 , 40 , 53 , ? | |||
Right Option : C | |||
View Explanation |
17, 23, 31, 41, 47, ________________ , 65. | |||
Right Option : D | |||
View Explanation |
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
It was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.