Number Series Reasoning Notes PDF with concepts, questions, solutions with short tricks in Hindi for competitive exams.
There are two type of Questions asked in competitive exams :
Find the missing number
Spot the wrong number
Difference of Numbers are equal /संख्याओं का अंतर बराबर है
Ex: 1, 4, 7, 10, 13, 16, 19, 22, ?
Solution : Addition of 3, therefore, 22+3 =25
Difference of Difference of Numbers are equal / संख्याओं के अंतर के अंतर समान हैं
Ex: 3, 10, 20, 33, 49, 68, ?
| 3 | 10 | 20 | 33 | 49 | 68 | ? (68+22=90) |
| 7 | 10 | 13 | 16 | 19 | 19+3=22 | |
| 3 | 3 | 3 | 3 | 3 |
Difference of Difference of Difference of Numbers are equal
Ex: 3, 8, 18, 35, ?, 98
| 3 | 8 | 18 | 35 | ? (35+26=61) | 61+37=98 |
| 5 | 10 | 17 | 17+9=26 | 26+11=37 | |
| 5 | 7 | 9 | 11 | ||
| 2 | 2 | 2 |
Two Series / दो श्रृंखला
Ex: 4, 28, 6, 26, 8, 24, 10, 22, 12, ?
Two different series 4,6,8,10,12…. and 28,26,24,22,20…
Answer is 20
Three Series / तीन श्रृंखला
Ex: 0, 4, 6, 3, 7, 9, 6, ?, 12
Three different series with addition of 3
0,3,6,9, …
4,7,10,13…
6,9,12,15…
Answer is 10
Prime Number Series / अभाज्य संख्या श्रृंखला
Ex: 2, 3, 5, 7, 11, 13, 17, 19, 23, ?
Series of Prime numbers and next is 23
Mathematical Operations
Ex: 3, 4, 10, 33, ?
3×1+1 =4, 4×2+2=10, 10×3+3=33, 33×4+4=136
Square of Numbers / संख्याओं का वर्ग
Ex: 1, 4, 9, 16, 25, 36,49, ?
Square of 1,2,3,4,5,6,7,8.. Next is 64
Square ± 1,2,3,
[x2±1,2,3,4,5], [(x+1)2±1,2,3,4,5], [(x+2)2±1,2,3,4,5]……..
Example : 3, 6, 11, 18, 27, ?
12+2, 22+2, 32+2, 42+2, 52+2, 62+2, = 38
(x2+x), [(x+1)2±(x+1)], [(x+2)2±(x+2)]………
Example : 1, 6, 12, 20, 30, 42, ?
12+1, 22+2, 32+3, 42+4, 52+5, 62+6, 72+7= 56,
Cube ± 1,2,3
Just like square questions bases on cube may be asked.
Ex: 336, 210, 120, 60, 24, ?, 0
73-7, 63-6, 53-5, 43-4, 33-3, 23–2, 13-1, Answer is 6
Ex: 2, 3, 10, 29, 66, ?
03+2, 13+2, 23+2, 33+2, 43+2, 53+2, = 127
Miscellaneous Questions / विविध प्रश्न
Ex : 181, 191, 202, 206, 214, ?
181+(1+8+1) =191, 191+(1+9+1)=202, 202+(2+0+2)=206, 206+(2+0+6)=214, 214+(2+1+4) = 221
Ex: 6, 15, 35, 77, 143, 221, ?
Multiple of prime numbers
2×3, 3×5, 5×7, 7×11, 11×13, 13×17 = 221
Ex: 9, 27, 31, 155, 161, 1127, ?
9×3=27, 27+4=31, 31×5=155, 155+6=161, 161×7=1127, 1127+8=1135