HCL Placement Paper 2011
Arithematic paper
1.
A merchant sells an item at a 20 percent discount. but still makes a
gross profit of 20 percent of the cost. What percent of cost would be
gross profit on the item have been if it had been sold without the
discount?
(A) 20% (B) 40% (C) 50% (D) 60% (E) 66.6%
Ans :c) 50%
(A) 20% (B) 40% (C) 50% (D) 60% (E) 66.6%
Ans :c) 50%
2. A millionaire bought a job lot
of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats
including 4/5 of the brown hats. What fraction of the unsold hats were
brown.
(A)1/60 (B)1/15 (C)3/20 (D)3/5 (E)3/4
Answer :c)3/20
(A)1/60 (B)1/15 (C)3/20 (D)3/5 (E)3/4
Answer :c)3/20
3. How many integers n greater
than and less than 100 are there such that, if the digits of n are
reversed, the resulting integer is n+9 ?
(A)5 (B)6 (C)7 (D)8 (E)9
Answer )8
(A)5 (B)6 (C)7 (D)8 (E)9
Answer )8
4. An investor purchased a shares
of stock at a certain price. If the stock increased in price Rs 0.25 per
share and the total increase for the x shares was Rs 12.50, how many
shares of stock had been purchased ?
(A)25 (B)50 (C)75 (D)100 (E)125
Answer :B)50
(A)25 (B)50 (C)75 (D)100 (E)125
Answer :B)50
5. At a special sale, 5 tickets
can be purchased for the price of 3 tickets. If 5 tickets are purchased
at the sale, the amount saved will be what percent of the original price
of the 5tickets?
(A)20% (B)33.3% (C)40% (D)60% (E)66.6%
Answer :c)40%
(A)20% (B)33.3% (C)40% (D)60% (E)66.6%
Answer :c)40%
6. Working independently, Tina can
do a certain job in 12 hours. Working independently, Ann can do the
same job in 9 hours. If Tina works independently at the job for 8 hours
and then Ann works independently, how many hours will it take Ann to
complete the remainder of the jobs?
(A)2/3 (B)3/4 (C)1 (D)2 (E)3
Ans :E)3
(A)2/3 (B)3/4 (C)1 (D)2 (E)3
Ans :E)3
7. A decorator bought a bolt of d m number of red chips in any one stack ?
(A)7 (B)6 (C)5 (D)4 (E)3
Answer :C) 5
(A)7 (B)6 (C)5 (D)4 (E)3
Answer :C) 5
8. 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
and: E.) r and s are true as first two statements are contradictory. thus either P or S is murderer. as q is not murderer, he is telling truth that P was with him. hence S is murderer.
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
and: E.) r and s are true as first two statements are contradictory. thus either P or S is murderer. as q is not murderer, he is telling truth that P was with him. hence S is murderer.
8. 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
ans d)
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
ans d)
9. Statistics indicate that men drivers are involved in more accidents than women drivers. Hence it may be concluded that
a) sufficiently information is not there to conclude anything
b) Men are actually better drivers but drive more frequently
c) Women Certainly drive more cautiously than Men
d) Men chauvinists are wrong about women’s abilities.
e) Statistics sometimes present a wrong picture of things
a) sufficiently information is not there to conclude anything
b) Men are actually better drivers but drive more frequently
c) Women Certainly drive more cautiously than Men
d) Men chauvinists are wrong about women’s abilities.
e) Statistics sometimes present a wrong picture of things
10. What does the hex number E78 correspond to in radix 7 ?
a) 12455
b) 14153
c) 14256
d) 13541
e) 13112
Ans :d
a) 12455
b) 14153
c) 14256
d) 13541
e) 13112
Ans :d
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
Ans: c
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
Ans: c
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
Ans: a
a) 900
b) 600
c) 360
d) 240
e) 150
Ans: a
13. if a=2,b=4,c=5 then a+b c c a+b
a) 1
b) 11/30
c) 0
d) -11/30
e) -1
ans: b
a) 1
b) 11/30
c) 0
d) -11/30
e) -1
ans: b
14. 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
Ans: b
a) 2(10)^4
b) 2(10)^6
c) 10^8
d) 2(10)^8
e) 10^10
Ans: b
15. 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
Ans: d (e)
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
Ans: d (e)
16. if q <> 0 and k = qr/2 -s, then what is r in terms of k,q,s?
a) 2k+s q
b) 2sk q
c) 2(k-s) q
d) 2k+sq q
e) 2(k+s) q
Ans: e
Six knights – P,Q,R,S,T and U – assemble for a long journey in two traveling parties. For security, each travelingparty 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 theknights can, if they wish, rearrange their traveling parties before continuing, again in two parties along separatenorthern 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
a) 2k+s q
b) 2sk q
c) 2(k-s) q
d) 2k+sq q
e) 2(k+s) q
Ans: e
Six knights – P,Q,R,S,T and U – assemble for a long journey in two traveling parties. For security, each travelingparty 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 theknights can, if they wish, rearrange their traveling parties before continuing, again in two parties along separatenorthern 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
17. 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
Ans: e
a) Q and S
b) Q and T
c) R and S
d) R and T
e) S and T
Ans: e
18. If each of the two parties of
knights consists of exactly three members, which of the following is not
a possible traveling 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
Ans: b
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
Ans: b
19. If one of the two parties of
knights consists of U and two other knights and travels by the northern
route, the other members 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
Ans: c
a) P and S
b) P and T
c) Q and R
d) Q and T
e) R and T
Ans: c
20. If each of the two parties of
knights consists of exactly three members of different
pX-Mozilla-Status: 0009by 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
Ans: a
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
Ans: a
21. If, when the two parties of
knights encounter one another after a month, exactly one knight changes
from one traveling party to the other traveling party, that knight must
be
a) P
b) Q
c) R
d) S
e) T
Ans: e
a) P
b) Q
c) R
d) S
e) T
Ans: e
22. How many of the integers between 25 and 45 are even ?
(A)21
(B)20
(C)11
(D)10
(E)9
Ans:d)10
(A)21
(B)20
(C)11
(D)10
(E)9
Ans:d)10
23. If taxi fares were Rs 1.00 for
the first 1/5 mile and Rs 0.20 for each 1/5 miles thereafter. The taxi
fare for a 3-mile ride was
(A)Rs 1.56
(B)Rs 2.40
(C)RS 3.00
(D)Rs 3.80
(E)Rs 4.20
Answer :d)Rs 3.80
(A)Rs 1.56
(B)Rs 2.40
(C)RS 3.00
(D)Rs 3.80
(E)Rs 4.20
Answer :d)Rs 3.80
24. A computer routine was
developed to generate two numbers (x,y) the first being a random number
between 0 and 100 inclusive, and the second being less than or equal to
the square root of the first. Each of the following pair satisfies the
routine EXCEPT
(A) (99.10)
(B) (85.9)
(C) (50.7)
(D) (1.1)
(E) (1.0)
Answer : A) (99.10)
(A) (99.10)
(B) (85.9)
(C) (50.7)
(D) (1.1)
(E) (1.0)
Answer : A) (99.10)
25. A warehouse had a square floor
with area 10,000 sq.meters. A rectangular addition was built along one
entire side of the warehouse that increased the floor by one-half as
much as the original floor. How many meters did the addition extend
beyond the original buildings ?
(A)10
(B)20
(C)50
(D)200
(E)500
Ans: c)50
(A)10
(B)20
(C)50
(D)200
(E)500
Ans: c)50
