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                                                                                    30 14 required run
                 Himalayas act like a high wall, blocking the winds from  46. (b)  New Average =
                 passing into Central Asia, and forcing them to rise. As the               15
                 clouds rise their temperature drops and precipitation occurs.  32 × 15 – 30 × 14 = Required run
        36. (d)  Dakshin Gangotri was the first scientific base station  Required run = 60
                 of India situated in Antarctica, part of the Indian  47. (b)  Let the C.P = ` 100
                 Antarctic Program. It is located at a distance of 2,500  The, S.P = `133
                 kilometres from the South Pole.                      Let the marked price ` x
        37. (c)  The North Atlantic sea route, linking the US and Canada  Then, 95% of x = 133
                                                                            ´
                 to Europe, is very busy as well.                        133 100
        38. (d)  One of the oldest military institutions in India, it was  x =   95  = 140
                 founded in 1905 as the Army Staff college in Deolali  Marked price = 40% above C.P.
                 (near Bombay), relocated to its present home in  48. (a)  Let the cost of production of a table = ` x.
                 Wellington Cantonment in The Nilgiris District of Tamil
                 Nadu, India.                                          x ´  110 115 125  =  1265
                                                                                 ´
                                                                            ´
        40. (d)  Freedom at Midnight (1975) is a book by Larry Collins   100 100 100
                 and Dominique Lapierre. It describes the events in the   1265 1000000
                 Indian independence movement in 1947-48, beginning    x =    ´        = ` 800
                                                                             ´
                                                                                 ´
                 with the appointment of Lord Mountbatten of Burma        110 115 125
                 as the last viceroy of British India, and ending with the  49. (b)  Let C. P. = x
                 death and funeral of Mahatma Gandhi.                 Loss = 19%
        41. (c)  Let the number of boys in class be x.                          119
                 Therefore the number of girls in class be 5x.        then S.P. is  100  x
                 Total number of children in class = x + 5x = 6x.
                 Hence, 35 cannot be the total number of children as it’s  If profit = 17% then S. P. =   83  x
                 not the multiple of 6.                                                     100
        42. (a)  Let one variety of rice be x kg.                     According to question
                 Another quantity = (50 – x) kg                       119x       83x
                 According to question x × 4.50 + (50 – x) 5 = 240         -  162 =
                 4.5x + 250 – 5x = 240                                 100       100
                 0.5x = 10                                            \   x = 450
                 x = 20                                       50. (b)  Let A and B represent the sets of students who passed
                 Hence, the quantity of cheaper rice was 20 kg.       in English and Mathematics respectively.
        43. (d)  Let the number of each type of notes be x. According  If 15% of candidates failed in both, then 85% passed at
                 to question 1 ×  x + 5 × x + 10 × x = 640            least one of the exams.
                 16x = 640                                            Then, the total number of students passed in one or
                 x = 40                                               both subjects
                                                                                   ( ) n B+
                 Total number of notes = 40 + 40 + 40 = 120           = (A È  B ) =  n A  ( ) =  ( n A Ç  B )
        44. (c)  Let the numbers are
                 x, x +2, x + 4, x + 6 and x + 8.                     0.85= 0.75 +0.65 –  ( n A Ç B )
                          x x 2 x 4 x 6 x 8                             ( n A Ç B )  = 1.40 – 0.85 = 0.55
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                 Average =
                                     5                                0.55% of number of students = 495
                 61 × 5 = 5x + 20                                                           495
                                                                                                   =
                 5x = 305 – 20                                        \ Number of students  =  55  ´  100 900
                 5x = 285
                 x = 57                                                              +  xy
                 First number = 57                            51. (c)  Net effect =  x y+  100
                 Last number = 65
                 Required difference = 65 – 57 = 8                    = 15 – 20 +  (15´ -  20 )   = – 5 – 3 = –8
        45. (a)  Let the age of Jayesh = x yr.                                    100
                                                                      Negative sign indicates that there is a loss of 8%.
                                     x
                 Therefore age of Vijay =   yr .              52. (b)  Milk contains in mixture = 36 liters.
                                     2                                Water contains in mixture = 4 liters
                 And, age of Suresh = 2x yr.                          Let ‘x’ be the water added to the mixture.
                 According the question
                                                                        36   80
                 x  +  2x =  85                                        4 x  =  20
                                                                        +
                 2                                                    36 = 16 + 4x
                 5x = 85 × 2                                          20 = 4x
                 x = 34 yr.                                           \ x = 5 litres
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