Page 216 - Maths Class 05
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5.                                                      6.
                          Actual Sum         Estimated Sum                        Actual Sum         Estimated Sum
                  a.          206                   200                   a.         28783                28800

                  b.          152                   200                   b.         26675                26700
                  c.          501                   500                   c.         18600                18600
                  d.         5392                 5400

            7.   a.  4000     b.  2000   c.  4000     d.  2700     8.   a.  50000    b.  80000    c.  90000    d.  200000
            9.   a.  810000     b.  150000   c.  100000   d.  180000   10.  180 pencils (Estimated)
            11.   1300 (Estimated)    12. `  `  1000000 approximately      13.    a.  Actual Q = 93, R =1; Estimated Q = 90, R = 0
                b.  Actual Q = 20, R = 19; Estimated Q = 20, R = 0      c.  Actual Q = 474, R = 8; Estimated Q = 500, R = 0
                d.  Actual Q = 23, R = 4; Estimated Q = 20, R = 0      14.  16 medicines
            Sum Up
            1.   a.  i     b.  iii   c.  iii   d.  i     e.  i     2.   a.  64122750  b.  5968471  c.  15734970  d.  9078921
                e.  6590993  3.   a.  285106   b.  345179   c.  4319458   d.  4678887  e.  68889738  f.  4249579
            4.   a.  Q = 229, R = 2611  b.  Q = 6497, R = 16   c.  Q = 41184, R = 3   d.  Q = 24141, R = 80
                e.  Q = 24144, R = 23  f.  Q = 17914, R = 26   g.  Q = 77652, R = 417  h.  Q = 85900, R = 503
                i.  Q = 9215, R = 38   5.   a.  12155597  b.  578379   c.  457792   d.  415392   e.  240489   f.  180710
                g.  40580091  h.  3523050  i.  29931930  j.  26575285  k.  9933700  l.  16085407
            Chapter-3 Multiples and Factors
            Practice 3.1
            1.   a.  4, 8, 12, 16, 20     b.  3, 6, 9, 12,15   c.  7, 14, 21, 28, 35    d.  9, 18, 27, 36, 45    e.  8, 16, 24, 32, 40
                f.  12, 24, 36, 48, 60   g.  15, 30, 45, 60, 75    2.   24, 30, 36, 42, 48
            Practice 3.2
            1.   Common multiples of 2, 5 and 10 are 10, 20, 30, .....    2.   Common multiples of 5, 6 and 15 are 30, 60, 90, .....
            3.   Common multiples of 4, 6 and 8 are 24, 48, 72, .....     4.   Common multiples of 40 and 20 are 40, 80, 120, .....
            Practice 3.3
            1.   Factors of 18 are 1, 2, 3, 6, 9, 18.    2.   Factors of 20 are 1, 2, 4, 5, 10, 20.    3.    Factors of 10 are 1, 2, 5, 10
            4.   a.  Common factors of 12 and 16 are 1, 2, and 4.       b.  Common factors of 32 and 40 are 1, 2, 4 and 8.
                c.  Common factors of 65, 75 and 81 is only 1.         d.  Common factors of 90, 105 and 125 are 1 and 5.
            Practice 3.4
            1.   a.  225   b.  15   c.  24  d.  3   e.  3   f.  85      2.    a.  4   b.  2   c.  15  d.  4   e.  12     f.  24
            3.   a.  69   b.  15  c.  29  d.  14  e.  96  f.  136  g.  26  h.  60  i.  56   4.   a.  2640   b.  15900  c.  288
                d.  1260    e.  6300    f.  432     5.  a.  288     b.  180     c.  115710  d.  24360  e.  600     f.  2880
            6.   a.  1, 2, 4, 5, 10, 20      b.  1, 3, 5, 9, 15, 45     c.  1, 2, 3, 6, 9, 18      d.  1, 3, 9, 9, 27, 81     e.  1, 3, 9, 27
                f.  1, 2, 5, 10, 25, 50     g.  1, 2, 4, 8, 16, 32     h.  1, 3, 5, 15
            Sum Up
            1.   a.  i     b.  iii   c.  iii      2.   a.  i.  Factors of 9 : 1, 3, 9         ii.    Factors of 12 : 1, 2, 3, 4, 6, 12
                                                        iii.    Common Factors : 1, 3     iv.    HCF : 3
                b.  i.    Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24       ii.     Factors of 40 : 1, 2, 4, 5, 8, 10, 20, 40
                     iii.    Common Factors : 1, 2, 4, 8             iv.    HCF : 8
                c.  i.     Factors of 32 : 1, 2, 4, 8, 16, 32           ii.     Factors of 40 : 1, 2, 4, 5, 8, 10, 20, 40
                     iii.    Factors of 52 : 1, 2, 4, 13, 26, 52          iv.    Common Factors : 1, 2, 4
                     v.     HCF : 4
            3.   a.  240  b.  150   c.  180   d.  1320  e.  1500  f.  4500  g.  512   h.  11475    i.  864   4.   a.  1, 2, 4, 8
                b.  1, 3,   c.  1, 3   d.  1, 2  e.  1    f.  1, 2
            5.   a.              b.                c.               d.               e.                f.
                     21               140               72                90              26               45

                   3    7           2    70           2    36          2     45         2    13          3    15
                                       2    35           2    18          3    15                           3     5

                                          5    7            2    9           3     5

                                                               3    3



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