HPCL MUMBAI Solved Paper 2011

1. X varies inversely as square of y. Given that y = 2 for x = 1. The value of x for y = 6 will be equal to

A) 3 B) 9 C) 1/3 D) 1/9

Ans : D

2. If 10% of x = 20% of y, then x : y is equal to

A) 1 : 2 B) 2 : 1 C) 5 : 1 D) 10 : 1

Ans : B

3. A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the Capital ?

A) Rs. 7500 B) Rs. 8000 C) Rs. 8500 D) Rs. 9000

Ans : D

4. Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages ?

A) 7 hours 30 minutes B) 8 hours C) 8 hours 15 minutes D) 8 hours 25 minutes

Ans : C

5. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A dn C can do it in 4 days. Who among these will take the least time if put to do it alone?

A) 80 days B) 100 days C) 120 days D) 150 days

Ans : C

6. Was Avinash early, on time or late for work?

(I) He thought his watch was 10 minutes fast
(II) Actually his watch was 5 minutes slow

Ans. (D)

7. What is the value of A if A is an integer?

(I) A4 = 1
(II) A3 + 1 = 0

Ans. (B)

8. A person travels 12 km in the southward direction and then travels 5km to the right and then travels 15km toward the right and
finally travels 5km towards the east, how far is he from his starting place?

(a) 5.5 kms
(b) 3 km
(c) 13 km
(d) 6.4 km

Ans. (b)

9. X's father's wife's father's granddaughter uncle will be related to X as

(a) Son
(b) Nephew
(c) Uncle
(d) Grandfather

Ans. (c)

10. Find the next number in the series 1, 3 ,7 ,13 ,21 ,31

(a) 43
(b) 33
(c) 41
(d) 45

Ans. (a)

11. If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"MANGO" would be

(a) 82357
(b) 89343
(c) 84629
(d) 82347

Ans. (d)

12. In a square, all the mid points are joined. The inner square is shaded. If the area of the square is A, what is the area of the shaded area?

13. Two questions on basic angles i.e given a circle, a few chords or diameter is drawn etc.

14. If the following statements are given

@(a,b)= (a+b)/2
/(a,b)= a/b
*(a,b)= ab
If a=1, b=2 then find

i) /(a,(@(a,b),*(a,b)))

ii) */(a,@(*(a,b)))


15. If the following statements are given

(x#y) = x + y- xy
(x*y) = (x + y)/2
i) Find the values of x, y will satisfy this equation (x#y)#(x*y) < (x#y)
ii) Find the values of x, y will satisfy this equation (a*b)#(b*c)< (a#b)*(b*c)

16. Export PS1 results in(PS1 pwd)

a) primary prompt being your current directory
b) primary prompt and secondary prompts being the current directory
c) primary prompt prompt being your home directory
d) primary prompt and secondary prompts being the home directory
e) None of the above.

17. If you type in the command nohup sort employees > list 2 > error out & and log off ,the next time you log in, the output will be

a) in a file called list and the error will de typed in a file error out
b) there will be no file called list or error out
c) error will be logged in a file called list and o/p will be in error out
d) you will not be allowed to log in
e) none of the above


18. f x,y,z are the marbles initially with A,B,C respectively.
Then the number of marbles B have at the end

(a) 2(x-y-z)
(b) 4(x-y-z)
(c) 2(3y-x-z)
(d) x + y-z


Ans. (c)

19. If the total number of marbles are 72, then the number of marbles with A at the starting
(a) 20
(b) 30
(c) 32
(d) 39

Ans. (d)


20. If a car starts from A towards B with some velocity. Due to some problem in the engine after traveling 30km, the car goes with 4/5 th of its actual velocity
The car reaches B 45 min later to the actual time. If the car engine fails after traveling 45km, the car reaches the destination B 36min late to the actual time What is the initial velocity of car and what is the distance between A and B in km

Ans. 20 & 130.