Placement Papers - HCL - Aptitude 2

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
(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
(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:
X 4
--------------      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 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

15.  Six knights - P,Q,R,S,T and U - assemble for a long journey in Two traveling parties. For security, each traveling party Consists of at least two knights. The two parties travel by separate routes, northern and southern. After one month, the routes of the northern and southern groups converge for a brief time and at that point the knights can, if they wish, rearrange their traveling parties before continuing, again in two parties along separate northern and southern routes. Throughout the entire trip, the composition of traveling parties must be in accord with the following conditions P and R are deadly enemies and, although they may meet briefly, can never travel together. p must travel in the same party with s  Q can’t travel by the southern route U can’t change routes
16.  If one of the two parties of knights consists of P and U and two other knights and travels by the southern route,
the other members of this party besides P and U must be
a) Q and S
b) Q and T                                                                                                              
c) R and S
d) R and T
e) S and T

17. If each of the two parties of knights consists of exactly three members, which of the following is not a possible  travelling party and route?
a) P,S,U by the northern route
b) P,S,T by the northern route
c) P,S,T by the southern route
d) P,S,U by the southern route
e) Q,R,T by the southern route

18)  If one of the two parties of knights consists of U and two other knights and travels by the northern route, the  other memnbers of this party besides U must be
a) P and S
b) P and T
c) Q and R
d) Q and T                                                                                               
e) R and T

19)  If each of the two parties of knights consists of exactly three members of different parties, and R travels by the northern route,then T must travel by the
a) southern route with P and S
b) southern route with Q and R
c) southern route with R and U
d) northern route with Q and R
e) northern route with R and U

20.  If, when the two parties of knights encounter one another after a month, exactly one knight changes from
one travelling party to the other travelling party, that knight must be
a) P
b) Q
c) R
d) S    
e) T



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