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PDA APS TEST DETAILED SOLUTIONS:

   1. No. of women in the room = (3/5) * 120 = 72
      No. of married people = (2/3) * 120 = 80
      No. of unmarried people = 40
      No. of men in the room = 48
      If all the men are supposed to be married, then the number of married women could only be
      80 – 48 = 32
      Maximum no. of unmarried women = 72 – 32 = 40
   2. Let the total number of students be ‘x’
      No. of girl students = 2x/3
      No .of boy students = x/3
      No. of girls who took part in camp = (1/5) * (2x/3) = (2/15)x
      No .of boys who took part in camp = (1/8) * (x/3) = (x/24)
      Total no. of students who took part in camp = (2/15)x + (x/24) = (7/40) x
   3. Cost of Cave = 5 rocks + 2 stones + 3 pebbles
                    = 35 stones + 14 pebbles + 3 pebbles
                    = 245 pebbles + 14 pebbles + 3 pebbles
                    = 262 pebbles
      1 rock = 49 pebbles
      To use 6 rocks, it requires 294 pebbles.
      Change required = 294 -262 = 32 pebbles = 4 stones and 4 pebbles
   4. Population ‘n’ years ago =       P          ans: 68 lakhs
                                                n
                                  ( 1 + 0.01 r)
   5. 14 out of 200 parts were defective. Hence 7%
   6. Time taken to cover first 100 kms = 100/30 = 10/3 hrs
      Time taken to cover next 100 kms = 100/40 = 5/2 hrs
      Time taken to cover final 100 kms = 100/50 = 2 hrs
      Total time taken = 47/6 hrs
      avg. speed = total distance/total time = 300 * 6/47 = 38.3 km/hr
   7. Income of man:wife = a:b = 5:3
      Expenditure of man:wife = c:d = 3:1
      Total savings = Rs.4000
      Individual savings = S = Rs. 2000
      Income of man = a * S * (d – c)        = Rs. 5000
                        (a * d) – (b *c)
      Income of woman = b * S * (d – c)         = Rs. 3000
                            (a * d) – (b *c)
   8. Share of B= [7/(5+7+13) ] * 1200 = Rs.336
      Share of C = [13/(5+7+13)] * 1200 = Rs. 624
      Difference of shares of C & B = Rs. 288
9. Let no. of 1 rupee coins = 2K
    No. of 50 paise coins = 3K
    No. of 25 paise coins = 4K
    2K + 0.5 (3K) + 0.25 (4K) = 216
    K= 48
    No. of 50 paise coins = 144
10. Overall loss= (5 *5)/100 = ¼ % loss
11. A alone can do the work in = 2 * 18 * 24 *36/ [(18*24)+(24*36)-(36*18)] = 48 days
12. Time taken = (L1 + L2)/ (S1 –S2)
    L1 & L2 are lengths of the trains 1 & 2
    S1 & S2 are speed of the Trains 1 & 2
    Time taken = 60 seconds
                              2    2
13. The required distance = (x – y ) * t / (2*y)
    x= 7 km/hr , y = 3 km/hr, t = 6 hours
    Required distance = 40kms
14. Son’s age 5 years hence = x years
    Father’s age five years hence = 3x years
    7 (x-10) = 3x- 10
    Father’s age = 40 years
                                                             2
15. Cost of article two years hence = 6 ( 1 + {1000 /100})       = 6 * 121 = Rs.726
16. Total no. of odd days= 1600 yrs have 0 odd days + 300 yrs have 1 odd day+ 49 yrs (37 non-
    leap,12 leap yrs) have 5 odd days+ 26 days of January have 5 odd days = 0+1+5+5 = 4 odd days
    Hence the day was THURSDAY
17. Let Mohan has Rs. y
    Let Ram has Rs.x
    2(x-30) = y+30 ----- (1)
    x+10 = 3 (y-10) --------(2)
    solving the linear equations, we get x =62,y=34
18. No. of ways in choosing one white square and one black square is given by:
    32 C1 * 32C1 = 32 * 32 = 1024
    No. of ways in which square lies in the same row (4 white squars,4 black squars, no. of rows = 8)
     = 4C1 * 4C1 * 8 = 128
    No. of ways in which square lies on same column = 128
    Required no. of ways = 1024 – 128 -128 = 768
19. Let ‘A’ be the event of “getting sum 4”
    A = {(1,3) (3,1) (2,2)}
    3 = favourable outcomes
    36-3 = 33 = unfavourable outcomes
    Odds in favour of sum 4 = 3/33 = 1/11
20. nth term = a+ (n-1) d = 4n+1 .This gives d =4
21. Avg. runs of ‘A’ excluding innings where he scored zero = 994/19 = 52.31
Avg. runs scored by ‘B’ excluding innings where he scored zero = 751/18 = 41.72
      Diff in averages = 10.59
22.   avg. runs of C = (414 – 52 )/17 = 21.29
23.   Diff. b/w two highest runs = 994 – 772 = 222
      Diff. b/w two lowest runs = 653 -414 = 239
      Diff. = 17         Lower by 17
24.   Ratio of A & D = 141:94 = 3:2
25.   Avg. runs of A = 994/20 = 49.70
      Avg. runs of B = 751/20 = 37.55
      Difference = 12.15
26.   Resurrecting ( concerned with redesigning)
27.   Sputtering
28.   amusing
29.   Cause & effect relationship
      death causes people to mourn
      victory causes people to celebrate
30.   buoyancy:prerogative (both are unrelated terms)
31.   boorish:rude (antonyms)
32.   b) relevance of state origin
33.   b) writing views on political science
34.   d) Hard to notice the linkage of the theory with that of the practicality
35.   a) too general
36.   a) Madinah
37.   c) Foodles
38.   b) Cell phones
39.   a) Intel 4004
40.   a) R.K.Narayan

41. Compiler Error. In third line, when the function display is encountered, the compiler
    doesn't know anything about the function display. It assumes the arguments and return
    types to be integers, (which is the default type). When it sees the actual function display, the
    arguments and type contradicts with what it has assumed previously. Hence a compile time
    error occurs.


      42. Here unary minus (or negation) operator is used twice. Same maths rules applies, i.e.
          minus * minus= plus. However you cannot give like --2. Because -- operator can only be
          applied to variables as a decrement operator (e.g., i--). 2 is a constant and not a variable.

      43. sizeof(i)=1.Since the #define replaces the string int by the macro char

      44.       In the expression !i>14 , NOT (!) operator has more precedence than ‘ >’ symbol. ! is
            a unary logical operator. !i (!10) is 0 (not of true is false). 0>14 is false (zero).
45.       p is pointing to character 'n'. str1 is pointing to character 'a' ++*p. "p is pointing to
      'n' and that is incremented by one." the ASCII value of 'n' is 10, which is then
      incremented to 11. The value of ++*p is 11. ++*str1, str1 is pointing to 'a' that is
      incremented by 1 and it becomes 'b'. ASCII value of 'b' is 98.
       Now performing (11 + 98 – 32), we get 77("M");
       So we get the output 77 :: "M" (Ascii is 77).

46.       p=&a [2] [2] [2] you declare only two 2D arrays, but you are trying to access the
      third 2D (which you are not declared) it will print garbage values. *q=***a starting
      address of a is assigned integer pointer. Now q is pointing to starting address of a. If you
      print *q, it will print first element of 3D array.

47.       Compiler Error. You should not initialize variables in declaration

48.       The structure yy is nested within structure xx. Hence, the elements are of yy are to
      be accessed through the instance of structure xx, which needs an instance of yy to be
      known. If the instance is created after defining the structure the compiler will not know
      about the instance relative to xx. Hence for nested structure yy you have to declare
      member.

49.      n - newline
         b - backspace
         r - linefeed

50.       The arguments in a function call are pushed into the stack from left to right. The
      evaluation is by popping out from the stack. and the evaluation is from right to left,
      hence the result.

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aptitude

  • 1. PDA APS TEST DETAILED SOLUTIONS: 1. No. of women in the room = (3/5) * 120 = 72 No. of married people = (2/3) * 120 = 80 No. of unmarried people = 40 No. of men in the room = 48 If all the men are supposed to be married, then the number of married women could only be 80 – 48 = 32 Maximum no. of unmarried women = 72 – 32 = 40 2. Let the total number of students be ‘x’ No. of girl students = 2x/3 No .of boy students = x/3 No. of girls who took part in camp = (1/5) * (2x/3) = (2/15)x No .of boys who took part in camp = (1/8) * (x/3) = (x/24) Total no. of students who took part in camp = (2/15)x + (x/24) = (7/40) x 3. Cost of Cave = 5 rocks + 2 stones + 3 pebbles = 35 stones + 14 pebbles + 3 pebbles = 245 pebbles + 14 pebbles + 3 pebbles = 262 pebbles 1 rock = 49 pebbles To use 6 rocks, it requires 294 pebbles. Change required = 294 -262 = 32 pebbles = 4 stones and 4 pebbles 4. Population ‘n’ years ago = P ans: 68 lakhs n ( 1 + 0.01 r) 5. 14 out of 200 parts were defective. Hence 7% 6. Time taken to cover first 100 kms = 100/30 = 10/3 hrs Time taken to cover next 100 kms = 100/40 = 5/2 hrs Time taken to cover final 100 kms = 100/50 = 2 hrs Total time taken = 47/6 hrs avg. speed = total distance/total time = 300 * 6/47 = 38.3 km/hr 7. Income of man:wife = a:b = 5:3 Expenditure of man:wife = c:d = 3:1 Total savings = Rs.4000 Individual savings = S = Rs. 2000 Income of man = a * S * (d – c) = Rs. 5000 (a * d) – (b *c) Income of woman = b * S * (d – c) = Rs. 3000 (a * d) – (b *c) 8. Share of B= [7/(5+7+13) ] * 1200 = Rs.336 Share of C = [13/(5+7+13)] * 1200 = Rs. 624 Difference of shares of C & B = Rs. 288
  • 2. 9. Let no. of 1 rupee coins = 2K No. of 50 paise coins = 3K No. of 25 paise coins = 4K 2K + 0.5 (3K) + 0.25 (4K) = 216 K= 48 No. of 50 paise coins = 144 10. Overall loss= (5 *5)/100 = ¼ % loss 11. A alone can do the work in = 2 * 18 * 24 *36/ [(18*24)+(24*36)-(36*18)] = 48 days 12. Time taken = (L1 + L2)/ (S1 –S2) L1 & L2 are lengths of the trains 1 & 2 S1 & S2 are speed of the Trains 1 & 2 Time taken = 60 seconds 2 2 13. The required distance = (x – y ) * t / (2*y) x= 7 km/hr , y = 3 km/hr, t = 6 hours Required distance = 40kms 14. Son’s age 5 years hence = x years Father’s age five years hence = 3x years 7 (x-10) = 3x- 10 Father’s age = 40 years 2 15. Cost of article two years hence = 6 ( 1 + {1000 /100}) = 6 * 121 = Rs.726 16. Total no. of odd days= 1600 yrs have 0 odd days + 300 yrs have 1 odd day+ 49 yrs (37 non- leap,12 leap yrs) have 5 odd days+ 26 days of January have 5 odd days = 0+1+5+5 = 4 odd days Hence the day was THURSDAY 17. Let Mohan has Rs. y Let Ram has Rs.x 2(x-30) = y+30 ----- (1) x+10 = 3 (y-10) --------(2) solving the linear equations, we get x =62,y=34 18. No. of ways in choosing one white square and one black square is given by: 32 C1 * 32C1 = 32 * 32 = 1024 No. of ways in which square lies in the same row (4 white squars,4 black squars, no. of rows = 8) = 4C1 * 4C1 * 8 = 128 No. of ways in which square lies on same column = 128 Required no. of ways = 1024 – 128 -128 = 768 19. Let ‘A’ be the event of “getting sum 4” A = {(1,3) (3,1) (2,2)} 3 = favourable outcomes 36-3 = 33 = unfavourable outcomes Odds in favour of sum 4 = 3/33 = 1/11 20. nth term = a+ (n-1) d = 4n+1 .This gives d =4 21. Avg. runs of ‘A’ excluding innings where he scored zero = 994/19 = 52.31
  • 3. Avg. runs scored by ‘B’ excluding innings where he scored zero = 751/18 = 41.72 Diff in averages = 10.59 22. avg. runs of C = (414 – 52 )/17 = 21.29 23. Diff. b/w two highest runs = 994 – 772 = 222 Diff. b/w two lowest runs = 653 -414 = 239 Diff. = 17 Lower by 17 24. Ratio of A & D = 141:94 = 3:2 25. Avg. runs of A = 994/20 = 49.70 Avg. runs of B = 751/20 = 37.55 Difference = 12.15 26. Resurrecting ( concerned with redesigning) 27. Sputtering 28. amusing 29. Cause & effect relationship death causes people to mourn victory causes people to celebrate 30. buoyancy:prerogative (both are unrelated terms) 31. boorish:rude (antonyms) 32. b) relevance of state origin 33. b) writing views on political science 34. d) Hard to notice the linkage of the theory with that of the practicality 35. a) too general 36. a) Madinah 37. c) Foodles 38. b) Cell phones 39. a) Intel 4004 40. a) R.K.Narayan 41. Compiler Error. In third line, when the function display is encountered, the compiler doesn't know anything about the function display. It assumes the arguments and return types to be integers, (which is the default type). When it sees the actual function display, the arguments and type contradicts with what it has assumed previously. Hence a compile time error occurs. 42. Here unary minus (or negation) operator is used twice. Same maths rules applies, i.e. minus * minus= plus. However you cannot give like --2. Because -- operator can only be applied to variables as a decrement operator (e.g., i--). 2 is a constant and not a variable. 43. sizeof(i)=1.Since the #define replaces the string int by the macro char 44. In the expression !i>14 , NOT (!) operator has more precedence than ‘ >’ symbol. ! is a unary logical operator. !i (!10) is 0 (not of true is false). 0>14 is false (zero).
  • 4. 45. p is pointing to character 'n'. str1 is pointing to character 'a' ++*p. "p is pointing to 'n' and that is incremented by one." the ASCII value of 'n' is 10, which is then incremented to 11. The value of ++*p is 11. ++*str1, str1 is pointing to 'a' that is incremented by 1 and it becomes 'b'. ASCII value of 'b' is 98. Now performing (11 + 98 – 32), we get 77("M"); So we get the output 77 :: "M" (Ascii is 77). 46. p=&a [2] [2] [2] you declare only two 2D arrays, but you are trying to access the third 2D (which you are not declared) it will print garbage values. *q=***a starting address of a is assigned integer pointer. Now q is pointing to starting address of a. If you print *q, it will print first element of 3D array. 47. Compiler Error. You should not initialize variables in declaration 48. The structure yy is nested within structure xx. Hence, the elements are of yy are to be accessed through the instance of structure xx, which needs an instance of yy to be known. If the instance is created after defining the structure the compiler will not know about the instance relative to xx. Hence for nested structure yy you have to declare member. 49. n - newline b - backspace r - linefeed 50. The arguments in a function call are pushed into the stack from left to right. The evaluation is by popping out from the stack. and the evaluation is from right to left, hence the result.