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SOLVED PAPER: AFCAT 2019/I


        54.(B) Let          =    , Then       =                         =  6
                                                                     2
           Amount     =  2  ×                         60.(D) In 1 hour 314 weavers weave
           where,    = Principal                         = 6594 × 6 shawls
                    100×                                                            6594 × 6
           Rate    =                                     In 1 hour 1 weaver weaves =       shawls
                       ×                                                             314
                           100 ×                         = 126 shawls
                         =         %
                               × 8                    61.(D) Let Cost Price (CP) =    
                         = 12.5%                         Then Selling Price (SP) if he sells at profit =
        55.(C)  Suppose  they  will  meet  after  T  hours.     (1 + 8%) = 1.08  
                                   =            ×            and SP, if he sells at loss =    (1 − 8%)
           Sum  of  distance  traveled  by  them  after  T             =  0.92%   
           hours                                         Given, 1.08%    − 0.92%    =      12
                      6   +  4   = 20                                0.16   =     . 12
                         = 2 ℎ                                       ⇒     =      . 75
           So, they will meet at                      62.(A) Concentration of Sulphuric acid = 80%
                7:00      + 2 ℎ         = 9:00           So,  in  a  100cc,  Sulphuric  acid  =  80cc  and
                                     4  
        56.(D)   +     +    +      =                     water=20cc
              200   400  600   800     
                           25     4                      Let     be  the  amount  of  water  added  to
                        ⇒       =                        make concentration of 50%
                          2400       
                        ⇒      = 384                                ⇒    80    =  50
           ∴ Average speed is 384     /ℎ                               100 +     100
                                                                         80      1
        57.(B)  Present  average  age  of  family=25year            ⇒          =
                                                                       100 +     2
           3 year ago average of family =25-3=22 years
                                                                    ∴      =  60    
        58.(D) Let the total distance be y km.
                                                      63.(D)  We  know  that  speed  is  inversely
           Then,                                         proportional to time.
                        1             1     44
               ( ) × (   ) + ( ) × (    ) =              Given that:
                2      60      2      50     3
                               44                        (Speed of A): (speed of B) = 2: 7
               ⇒      +      =                                                                1
                 120    100     3                        ∴ (Time taken by A): (Time taken by B) =  ∶
                                                                                              2
               ⇒  5    +  6    =  8800                   1   =  7 ∶  2
               ⇒      =  800                             7
                                                      64.(C) Let the total number of boys in the class
           ∴ Required distance = 800 km.
                                                         be   
        59.(B) Work done by 6 men = work done by 10
                                                         Then, according to the question,
           women.
                                                                       +  45  =  95
           Work done by 1 man = work done by 10/6
           women = 5/3 women                                           =  95  −  45  =  50
                                        5                Hence, the required ratio of total number of
           ∴ 12 men + 5 women =  12  × ( ) +  5
                                        3                boys to total number of girls
           = 25 women                                               =  50: 45  =  10: 9
           ∴      ×       =       ×                   65.(A) Ram : Gopal =  7 : 17 = 49 : 119
              1
                    1
                                 2
                            2
           W=women, D=days                               Gopal : Krishan = 7 : 17 = 119 : 289
                      10 × 15 = 25 ×                     ∴ Ram: Gopal : Krishan = 49 : 119 : 289
                                       2
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