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10                                                                                Number Series Completion
                                      Answer with Explanation





                                                  Concept Applicator


            1.   (c) The given series is in the pattern + 4, + 8, + 12,   12.  (d)
                + 16, ..........                                      6 × 5 – 4 = 26
                So, the missing term = 41 + 20 = 61
                                                                      26 × 5 + 4 = 134
            2.   (d) The given series is in the pattern ×1, ×2, ×3,
                ×4, ..........                                        134 × 5 – 4 = 666
                So, the missing term = 24 × 5= 120                    666 × 5 + 4 = 3334
            3.   (d) The given series is in the pattern ×2 + 1, × 2 +   3334 × 5 – 4 = 16666
                2, × 2 + 3,.......                                    16666 × 5 + 4 = ?
                So, the missing term = 59 × 2 + 4 = 122               ? = 83334
                                                        2
            4.   (b) The given series is in  the pattern (2  – 1),     13. (e)
                  2
                                                  2
                                         2
                                2
                (4  – 1),.......... (8  – 1), (10  – 1), (12  – 1). So, the
                                2
                missing term is (6  – 1) = 35
            5.   (c) The given series is in the pattern ÷ 6, ÷ 5, ÷ 4,
                ÷ 3, ÷ 2. So, the missing term is 960 ÷ 5 = 192
                                      3
                                   2
                                               6
                                                   7
                                         4
                                            5
            6.   Option(e) Series is 9 , 8 , 7 , 6 , 5 , 4 , 3 8      ? = 294 + 154 = 448
                                                                                                   2
                                                                                                         2
                                                                                                              2
                     8
                                                                                        2
                                                                                              2
                ? = 3  = 6561                                    14.  (c) The series is: + 2 , + 3 , + 4 , + 5 , + 6 , …..
                                      3
                                               3
                                           3
                                   3
                                3
                            3
                                                                                       2
            7.   (b) Series is 2 , 4 , 6 , 8 , 10 , 12 , …..     15.   (e) The series is : 23 , 29 , 31 , 37 , 41 , …. (Square
                                                                                           2
                                                                                                2
                                                                                                    2
                                                                                                        2
                            3
                Then, ? = 14  = 2744.                                 of prime numbers)
            8.   (a) The gap is of – 9                           16.  (d) The series is × 1.5, × 2, × 2.5, × 3, × 3.5
            9.   (e)                                             17.   (a) The series is × 4 – 1, × 4 – 2, × 4 – 3, × 4 – 4,
                                                                      ….
                                                                 18.   (b) The series is + 123,+ (123 × 2),+(123 × 3),+
                                                                      (123 × 4), ….
                                                                 19.  (c) the difference of the numbers (+ 111).
            10.  (c) the difference between the numbers increases by 1.  20.  (d) The difference of the number is (– 121).
            11.  (b)
                                                    Concept Builder
            1.   (a) All  nos. in  the given  series are squares of odd      68 + 109 = 117
                 nos., except 1296                                    So, 45 is the wrong number in this series.
                1296 = (36) 2                                    3.   (e)
            2.   (c) 13 + 14 = 27                                4.   (d) The series is:
                14 + 27 = 41                                               + 3 , + 5 , + 7 , + 9 , + 11 , + 13 , ………..
                                                                                                    3
                                                                            3
                                                                                       3
                                                                                             3
                                                                                                          3
                                                                                  3
                27 + 41 = 68                                     5.   (d) 4 × 4 + (4 × 3) = 28
                41 + 68 = 109                                         28 × 5 + (5 × 4) = 160
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