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3.           2  6  1  5
                     8.
                                                                                      ×  4  3  9
                                                                                   2  3  5  3  5
                                                                                   7  8  4  5  X

                                                                              1  0  4  6  0  X  X
                                                                              1  1  4  7  9  8  5
                                                                       Exemplar Problems
                                                                         1.  a        2.  3; 6     3.  False   4.  9
                                                                         5.  12       6.  (a) A = 8, B = 9
                      9.                                                                 (b) A = 7, B = 2, C = 3, D = 1
                                                                         7.  2        8.  S = 6, M = 9, B = 1, U = 0

                                                                                          Chapter 20
                                                                       Exercise 20.1
                    Problems Related to Thinking Skills                  2.  (b) 30  (c) 2  (d) 28  (e) 7  (f) 6
                      1.  5  1  3       2.  4                            3.  (a) 3  (b) 12  (c) 6
                         4  2  6                                         6.  (a) 25.6 mm  (b) 2
                         8  7  9                                       Exercise 20.2
                      3.  The required three-digit number is 13 × 13 = 169.    1.  (a) 50  (b)  5  (c) 60  (d) 47.5 and 57.5  (e) 5
                                                                       Exercise 20.3
                                     Review Exercises
                                                                         1.  (a) This bar graph gives the information about the marks
                    Multiple Choice Questions                                 obtained by a student in two consecutive years namely
                      1.  a    2.  b    3.  a     4.  c    5.  d              2006–2007 and 2007–2008 in various subjects.
                    Solve Mentally                                         (b) Maths   (c) English    (d) Hindi   (e) 5
                    True or False                                        4.  (a) 210  (b) Bus  (c) Scooter  (d) 5 : 8  (e) 60%
                      1.  True   2.  True   3.  False   4.  False   5.  False           Review Exercises
                    Answer in One Word or a Line                       Multiple Choice Questions
                      1.  9(a – c)                                       1.  b   2.  c   3.  d   4.  a   5.  d   6.  a
                      2.  A 3-digit number 100a + 10b + c is divisible by 6 if c is   Solve Mentally
                        0, 2, 4, 6 or 8 and a + b + c is divisible by 3.  True or False
                      3.  No, because 9 + 5 = 14, which is not divisible by 3.
                      4.  675 and 720                                    1.  False   2.  True   3.  False   4.  False   5.  True
                    Let’s Evaluate                                     Fill in the Blanks
                                                                         1.  tally, frequencies   2.  inclusive, exclusive
                      1.  x = 4   2.  y = 2   3.  x = 5
                                                                         3.  minimum, maximum     4.  vertically, horizontally
                    Thinking Skills
                                                                       Answer in One Word or a Line
                      1.  A = 8, B = 6, C = 4, D = 4, E = 5, F = 6, G = 3 and H = 6    1.  (a)  A collection of information is known as raw data.
                      2.                                                    (b)   Frequency  is  defined  as  the  number  of  times  a
                                                                               particular observation occurs in a data.
                                                                            (c)  The data which can take only whole number values
                                                                               is called discrete data.
                                                                            (d)  The  data  which can  take  any value  between  two
                                                                               whole numbers is called continuous data.
                                                                            (e)  The difference between the upper limit and the lower
                                                                               limit of the class interval is known as class size.
                                                                            (f)  The difference between the greatest and the smallest
                                                                               values in the set of observations is called the
                                                                               range.

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