Page 99 - AFCAT Solved Papers 2011 - 2019 SSBCrack eBook
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64.  (d) Relative speed of both trains = (36 + 45) km/hr
                                                     2x
              59.  (d) Let the sum be x. then SI = 40% of x =    Rate = 5%.
                                                      5                                            æ ç  5 ö ÷ m / sec
                                                                                                 = ç 81´  ÷
                                                                                                   ç è  18ø ÷
                             é 100 2x  1 ù         é  100 S.I ù
                                                          ´
                                ´
                       Time =  ê     ´   ú         T ê <      ú                                    45
                                                         ´
                             ê ë  5    5x ú û      ê ë  P R   ú û                                =   2  m / sec
                       = 8 years                                             Distance travelled by train while passing man = length
              60.  (c) Correct sum = (36 × 50 + 48 – 23) = 1825.             of train.
                                                                                           45
                                   1825                                      Length of train =   ´ 8 < 180m Q    (D = ST)
                       Correct mean =   <  36.5                                            2
                                    50
                                                                    65.  (c) SP of chair = ` 368,  Let CP = `x
              61.  (c) Average score of 10 matches = 38.9                    Loss% = 8%
                                    Total score = 38.9 × 10 = 389
                                                                             é 100 – 8ù
                       Average score of 6 matches = 42                       ê      x ú <  368
                                                                             ê ë  100 ú û
                                    Total score = 42 × 6 = 252
                       Total score for remaining 4 matches = 389 – 252 = 137    368
                                                                             x =   ´ 100 <  400
                                                                                92
                                           137
                       Average for 4 matches =   <  34.25                    When, profit = 15%
                                            4
                                                                                 115
                                                                         [   SP =   ´ 400 < `  460
                                           3P                                    100
              62.  (b) Let principal be = P, SI =
                                           8                        66.  (b) Relative speed of train for man = speed of train + speed
                                                                             of man = (60 + 6) km/hr
                                 1
                       R = R, T =  6 year                                           æ ç  5 ö ÷ m / sec
                                 4                                                = ç ç è 66´ 18ø ÷ ÷

                           PTR                                                      55
                       SI <                                                       =    m / sec
                            100                                                      3
                                                                             Distance travelled by train while crossing man = length
                       3P   P´ 25 R                                          of train.
                                 ´
                          <
                        8    100´  4                                         Length of train = 110 metres
                       R = 6% P. a                                                      D
              63.  (b) Let CP of Horse be = ` x                              Time taken =   S

                                                   125                              110      6 sec
                       Then SP after getting 25% profit =   x                     =     ´ 3 <
                                                   100                               55
                                                                    67.  (c) 3 men can Plough Field in 43 days, 1 man will plough in
                       When CP is 200 Less CP = ` (x – 200)
                                                                             43 × 3
                       Profit = 30%                                          4 women can plough in 43 days 1 women will plough in
                                                                             = 4 × 43 days.
                           130
                       SP =   (x – 200)                                      Work done by 1 men and 1 women in 1 day
                           100
                                                                                1       1
                   ATQ                                                       =       +
                                                                                         ´
                                                                               43´  3  43 4
                       130           125                                     Work done by 7 men and 5 women in 1 day
                           (x – 200)  =   x – 200
                       100           100                                        7       5
                                                                             =      ∗
                                                                                        ´
                                                                                 ´
                       130         125                                         43 3   43 4
                          x – 260  =   x – 200
                       100         100                                         1 28 ∗  15ù   43     1
                                                                                 é
                                                                                             ..
                                                                             =   ê      ú <      <
                                                                                           ..
                                                                                             ´
                       5x                                                      43 ê ë  12  ú û  43 12  12
                           <  60                                         They will do work in 12 days.
                       100
                       x = ` 1200
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