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HCL Aptitude Paper

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1.    a=2, b=3, c=6  Find the value of c/(a+b)-(a+b)/c
          Ans. 11/30

2.   What does the hexa number E78 in radix 7.
          (a) 12455
          (b) 14153
          (c) 14256
          (d) 13541
          (e) 131112
         
3.   In a murder case there are four suspects P,Q,R,S. Each of them makes a statement. They are p:     "I had gone to the theatre with S at the time of the murder".q: "I was playing cards with P at the time       of the murder".r: "Q didn't commit the murder".s: "R is not the murderer".Assuming the only one of the  above statement is false and that  one of them is the murderer, who is the murderer?
            a) P
            b) Q
            c) R
            d) Cann't be concluded                                                                                    
             e) S
           

4.    Q is not equal to zero and k = (Q x n - s)/2.What is n?
           (a) (2 x k + s)/Q
           (b) (2 x s x k)/Q
           (c) (2 x k - s)/Q
           (d) (2 x k + s x Q)/Q
           (e) (k + s)/Q
5 Mohan earned twice as much as Deep. Yogesh earned rs.3/- more than half as much as deep.
      If the amounts earned by Mohan,Deep,Yogesh are M,D,Y respectively, Which of the following is
      the correct ordering of these amounts?
        a) M < D < Y
        b) M< Y < D
        c) D< M < Y
        d) It cann't be determined from the information given
        e) D< Y < M
       
Questions 6 - 10 are to be answered on the following data
           A causes B or C, but not both
           F occurs only if B occurs
           D occurs if B or C occurs
           E occurs only if C occurs
           J occurs only if E or F occurs
           D causes G,H or both
           H occurs if E occurs                                                                                        
           G occurs if F occurs
6.     If A occurs which of the following must occurs
            I.   F and G
            II.  E and H
            III. D
          (a) I only
          (b) II only
          (c) III only
          (d) I,II, & III
          (e) I & II (or) II & III but not both

7.    If B occurs which must occur
         (a) D
         (b) D and G
         (c) G and H
         (d) F and G
         (e) J

8.    If J occurs which must have occurred
        (a) E
        (b) either B or C
        (c) both E & F
        (d) B
        (e) both B & C

9.   Which may occurs as a result of cause not mentioned
        I.     D
        II.   A
        III.  F
         (a) I only
         (b) II only
         (c) I & II
         (d) II & III
         (e) I,II & III                                                                                                  
10.  E occurs which one cannot occurs
          (a) A
          (b) F
         (c) D
         (d) C
         (e) J
         
11.  Given that A,B,C,D,E each represent one of the digits between 1 and 9 and that the following
      multiplication holds:
           A B C D E
                   X 4
          --------------
         E D C B A
          --------------      what digit does E represent ?
            a) 4
            b) 6
            c) 8                                                                                                    
            d) 7

12.  HCL prototyping machine can make 10 copies every 4 seconds. At this rate, How many copies
      can the machine make in 6 min.?
       a) 900
       b) 600
       c) 360
       d) 240
       e) 150

13. 10^2(10^8+10^8) =-------------- 10^4
            a) 2(10)^4
            b) 2(10)^6
            c) 10^8
            d) 2(10)^8                                                                                                
            e) 10^10
14. Worker W produces n units in 5 hours. Workers V and W, workers independently but at the
     same time, produce n units in 2 hours.how long would it take V alone to produce n units?
         a) 1 hr 26 min
         b) 1 hr 53 min
         c) 2 hr 30 min
         d) 3 hr 30 min
         e) 3 hr 20 min
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