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2
                                                                       2
        36. (c)  The endocrine system refers to the collection of glands  a  + b  = 58
                                                                            3
                 of an organism that secrete hormones directly into the  Now, a  + b  = (a + b) (a  + b  – ab)
                                                                                3
                                                                                          2
                                                                                              2
                 circulatory system to be carried toward a distant target  = (10) (58 – 21)
                 organ. The major endocrine glands include the pineal  = 10 × 37 = 370
                 gland, pituitary gland, pancreas, ovaries, testes, thyroid
                 gland,  parathyroid  gland,  hypothalamus,   45. (b)   a  =  17
                                                                        +
                 gastrointestinal tract and adrenal glands.            a b   23
        37. (d)  The middle lamella is a pectin layer which cements the  23a = 17a + 17b
                 cell walls of two adjoining cells together. Plants need  6a = 17b
                 this to give them stability and so that they can form    17
                 plasmodesmata between the cells. It is the first formed  a =  6  b
                 layer which is deposited at the time of cytokinesis. The
                 cell plate that is formed during cell division itself       17  b b  17  +  1
                                                                                 +
                                                                        +
                 develops into middle lamella or lamellum. The middle  a b  =  6    =  6
                                                                        -
                 lamella is made up of calcium and magnesium pectates.  a b  17  b b  17  -  1
                                                                                 -
                 In plants, the pectins form an unified and continuous       6        6
                 layer between adjacent cells.
                                                                          +
                                                                         a b   23
        38. (d)  The effective nuclear charge is the net positive charge  Þ  =
                                                                          -
                 experienced by an electron in a multi-electron atom.    a b   11
                 The term "effective" is used because the shielding             2  598-     2
                 effect of negatively charged electrons prevents higher  46. (c)  (598 479 ) +  ( -  ) 479
                 orbital electrons from experiencing the full nuclear         598 479´
                                                                             2
                                                                                   2
                 charge by the repelling effect of inner-layer electrons.  Þ   (598)  + (479)  + 2 × 598 × 479
                 The effective nuclear charge experienced by the outer       2      2
                                                                                479
                                                                         598 -
                                                                                       ´
                                                                                            ´
                                                                       -  ( ) ( )    +  2 598 479
                 shell electron is also called the core charge. It is possible
                 to determine the strength of the nuclear charge by             598 479´
                 looking at the oxidation number of the atom.            4 598 479
                                                                               ´
                                                                          ´
                         2
                    2
        41. (b)  (40)  – (32)  = 1600 – 1024 = 576                    Þ   598 479
                                                                             ´
                 Hence, 24 is the required number.                    Þ   4
        42. (c)  Less capacity, more buckets. (Indirect proportion)  47. (c)  Total expenditure spent on four months
                 \ 5 : 15 : : 7 : x
                                                                      = 4 × 225.25 = ` 901
                 5  =  7                                              Total expenditure spent on next five months
                 15  x
                                                                      = 5 × (225.25 + 20.75)
                 x = 21
                 Hence, 21 buckets will be needed to fill the same tank.  = 5 × 246 = ` 1230
        43. (a)  Let ‘x’ be the weight g empty vessel and ‘y’ be the  Total expenditure for 12 months
                 weight of full vessel.                               = ` [901+ 1230 + 700] = 2831
                 x + y = 27.5           ...(1)
                                                                                    669
                                                                                            =
                    y                                                 Required % =     ´  100 19.11%
                 x +  =  12.26                                                     3500
                    4
                                                              48. (d)  Let the present age of P and Q be 2x and 3x.
                 4x + y = 4 × 12.26     ...(2)                        According to question
                 Subtracting equation (1) from (2)
                 4x – x = 49.04 – 27.5                                 2x 18  =  4
                                                                         +
                                                                         +
                 3x = 21.54                                            3x 18   5
                 x = 7.18 kg                                          10x + 90 = 12x + 72
        44. (a)  Given, a + b = 10                                    2x = 18
                 Squaring on both sides
                     2
                 2
                 a  + b  + 2ab = 100                                  x = 9
                 2
                     2
                 a  + b  = 100 – 2 × 21                               Present age of Q = 9 × 3 = 27 years
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