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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\04_Chapter_3\Chapter_3
                 \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________








                                                           Chapter assessment
                  A.  Choose the correct option.

                  1.  The smallest palindromic number made with three different digits is
                    (a)  10021                                        (b)  10201

                    (c)  123321                                       (d)  01210
                  2.  The sum of the smallest and the largest 2-digit palindromes is:
                    (a)  88                                           (b)  90

                    (c)  101                                          (d)  110
                  3.  From which of the following numbers will you reach the Kaprekar constant in the least number of
                     rounds?
                    (a)  4716                                         (b)  3214

                    (c)  9874                                         (d)  8067
                  4.  How many supercells are there in the table given below?

                       5   15    20  410   85
                      458 357 612 111      65

                      54    6    99  750 478
                      715 745 100 951      10

                      854 147 555     66  521
                    (a)  4                                            (b)  7
                    (c)  10                                           (d)  8

                  5.  What will be the difference between the number 64891 and the number obtained by interchanging
                     the digits at the tens and thousands places?
                    (a)  4950                                         (b)  4590
                    (c)  4780                                         (d)  4710

                  6.  Which of the following number sequence is as per the Collatz Conjecture?
                    (a)  88 → 44 → 22 → 11 → 10 → 5 → 16 → 8 → 4 → 2 → 1
                    (b)  9 → 28 → 14 → 7 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 2 → 1

                    (c)  100 → 50 → 25 → 76 → 38 → 19 → 58 → 29 →  88 → 44 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 →
                        10 → 5 → 16 → 8 → 4 → 2 → 1

                    (d)  All of the above
                  B.  Fill in the blanks.
                  1.  A 5-digit number + a 5-digit number gives a .................... numbers.

                  2.  A 5-digit palindrome number using the digits 2, 5, 4 is .................... .
                  3.  85400 = 2 × 40000 + 3 × 2000 – .................... .
                  4.  There are .................... three-digit numbers in all.

                  5.  By adding 1 to the greatest .................... digit number, we get ten lakhs.

                                                                    99
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